diff --git "a/data/dm_maths/full_data_1/1647_11255.jsonl" "b/data/dm_maths/full_data_1/1647_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1647_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose l - 1 - 2 = 0. Let s be -5*(27\/l - -2). What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 402*w**5 - 19689*w**4 + 234729*w**3 - 1070085*w**2 + 1684425*w + 38250 = 0?\nAnswer: -3\/134, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*j**2 - 14*j**3 - j - 4*j - 4*j + 1 - 2*j**3.\nAnswer: -(j - 1)*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 6, d: 4, v: 2, t: 2, q: 1}. Give prob of picking 2 t, 1 a, and 1 p.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 1, w: 1, u: 1, f: 1}. What is prob of picking 1 w, 1 r, and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 19*d**3 + 2278*d**2 - 240*d + 2. What is j(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9035 + 9362. What is the remainder when m is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -853142?\nAnswer: -53\/853142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swwswsswsssssssw. What is prob of picking 1 s and 3 w?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.21, 4, 0.4, 28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48113, -48117, -48123, -48131, -48141?\nAnswer: -48153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 7*q + 10. Let x be w(-7). Let v = x - 7. Solve -v*l + 15 = 0, -i - 4*i + 2*l - 15 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1786 (base 10) to base 4.\nAnswer: -123322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 270*j**2 - 4*j + 1. What is the hundreds digit of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4941*d**2 + 434*d + 285. Let t(j) = 4939*j**2 - 435*j - 228. Let g(y) = -4*a(y) - 5*t(y). What is the second derivative of g(s) wrt s?\nAnswer: -9862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 28. Let j(k) = 3*k**3 + k**2 - k - 2. Let a be j(-2). Let q = f + a. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110000011000 (base 2) in base 12?\nAnswer: -36108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*o - 12, -102*o = -m + 107*o - 207*o + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3 - 0. Let y(k) = -k - 2. Let x be y(2). Let p be j*(3 + x\/3). Solve p*c = 5*t + 15, 13 = 4*c - 2*t - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4794576 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22900 and 55857680?\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*a - a + 11 = 0, -5*a = -b + 17. Let i = 30 - 48. Let w be -2*((-75)\/i - 4). What is the nearest to w in 3, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**4 + 3*m**2 - 8*m. Let x(j) = -5*j - 8*j**2 + 21*j - 9*j**4 + j**2. Let s(k) = 7*f(k) + 3*x(k). What is the second derivative of s(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2670365127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -4 (c) 3\/4 (d) -312\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -10, -11, -12, -13, -14?\n\"Answer: -g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-33))\/(1\/(77\/42)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -11 + 29 + (4 - 24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202211 - 2?\nAnswer: 202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 14. Let x(y) = 4*y - 14. Let j(b) = 6*q(b) - 5*x(b). Let l be j(-16). Suppose 0 = l*o - 14*o - 156. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019198077 rounded to seven dps?\nAnswer: -0.0000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - n + 2*n)*(3 - 3 + 4)*(-1 + 1 + 2)*(5 + 1 + 3).\nAnswer: -144*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**3\/3 - h. Let g(k) be the first derivative of 4*k**3\/3 - 2. Determine y(g(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 3. Let s be n(-5). Let c be (4\/(-3))\/((-4)\/6). Suppose c*j = -s*j + 20. Solve 3*h - 10 = -2*i - 0*i, -3*i - j*h = -17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18024618239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1841784.4, 5, 0.4 in descending order.\nAnswer: 5, 4, 0.4, -1841784.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*l**3 - 450*l**3 - 494*l**3 + 1457*l**3.\nAnswer: 37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2331876 divided by 777292.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -2.95. Let f = -1013 + 1015. What is the second biggest value in 2\/3, f, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31763813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264757\/30 - -8830. Let q = 15 + -41\/3. Calculate the common denominator of q and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = 0, y - 3*g = -3*y + 26. Suppose 3*m = l + 1, -y*l - 4*m = -3*l - 33. Solve 0 = -2*w - l*h - 17, 2*w + 0*w = -h + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -546407.5 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4133592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/2303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b + 119794 = -26079. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 5*q. Let m be w(3). Let n = m + -4. Differentiate -j**4 - 4*j**n - 2 + 4*j**2 with respect to j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 7*n + 5. Let h be t(7). Let p(u) = -62*u**3 - 6*u**2 - u + 5. Let y be p(h). Round y to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 267\/80, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24570818?\nAnswer: 2, 2089, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 25. Is -0.1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010906288 rounded to seven decimal places?\nAnswer: -0.0001091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, 2\/15, -38 in increasing order.\nAnswer: -38, 0, 2\/15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135850, 271814, 407778, 543742, 679706?\nAnswer: 815670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 1667\/12. Let j(v) be the third derivative of 0 + 0*v - 2*v**2 - o*v**4 + 1\/6*v**3. Find the first derivative of j(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -479, -451, -399, -317, -199, -39, 169, 431?\n\"Answer: k**3 + 6*k**2 + 3*k - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664234?\nAnswer: 2, 332117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1504, 1160, 812, 460?\n\"Answer: -2*c**2 - 338*c + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*y + 2180 = 81*y. What is the remainder when 188 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5722152 + 5?\nAnswer: -5722145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159479?\nAnswer: 7, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3*o**2 - 4*o - 6. Let f be l(-3). Is 141\/f - 3\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((3*(-2*sqrt(66) + sqrt(66)) - sqrt(66)) + sqrt(66))\/(sqrt(6) + (sqrt(96) - sqrt(6) - sqrt(6))*-4) - (-4 + (sqrt(110)*3)\/sqrt(10))**2*-1).\nAnswer: -575 + 825*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 32. Let v = -64 + 57. Let b be f(v). Solve b*z = 4*y + 4, 2*y + 0 = 4*z - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0\/(-3))\/1. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.15 - 20.85. Let t = 21.5 + c. What is the smallest value in 0.2, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 8*f**2 + 8*f. What is o(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by (30\/(-5) - -14) + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8169570 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -10 + 7. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23972922 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128775397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 2*k - 10. Let b(i) = -1. Let y be (-5)\/2*(-2)\/(-5). Calculate y*h(d) + 10*b(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -157459*w**2. Let b(o) = -1538*o - 4. What is b(l(v))?\nAnswer: 242171942*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -130. Solve -x = 4*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -758*c**2 - 149*c**2 - 1184*c**2 to the form y + v*c + k*c**2 and give k.\nAnswer: -2091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 163. Suppose u = -5*n + t + 198, 0 = 4*n + u - 313. What is n rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4\/3 (c) -126 (d) 3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + -3 - (0 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -668932 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1848 and -121\/78.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407 a factor of 137489755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46433 is divided by 15477.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - p - 43, 0 = 5*s - 4*p - 0*p + 75. Let t = s - -21. Factor 2\/11*i**3 + 0*i + 2\/11*i**t + 0.\nAnswer: 2*i**2*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2066*v - 2. Let a = -2 + 8. Suppose -2*x + 0 = a. Let s be g(x). Round s to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415.8 - 487. Let j = -0.1827 - 70.8173. Let f = j - b. What is the biggest value in f, -1\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((140\/80)\/(1\/(-2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 368 (base 12) to base 2\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4700*g + 5*s + 285 = 4705*g, -27*g + 26*g - 2*s - 129 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/319 and 17\/57?\nAnswer: 18183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203985 and 211275?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.8. Let p = r + 0.8. Let q = -5.05 + 0.05. Which is the third smallest value? (a) p (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5429*m = 5447*m + 72, 4*r - 2*m = 3*r - 21 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1722324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - 6) + 22 - -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1649 - 167267.06\nAnswer: -168916.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -888, -12\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1*(-6 - -6). Solve -2*b + 3*z = -6, j = 5*b - 3*z + 4*z - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3558, 3553, 3548, 3543, 3538?\n\"Answer: -5*x + 3563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63125*x - 63134*x + 72 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.51 + -28.01. What is the second smallest value in 0, 7, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29973, -119879, -269721, -479499, -749213, -1078863?\nAnswer: -1468449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -33322022301?\nAnswer: 33322022310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s**2 + 17*s**2 - 6*s**2. Let t(p) = 2*p - 3. Let u(x) = -2*x + 2. Let m(a) = -2*t(a) - 3*u(a). What is h(m(j))?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 27*o**5\/4 - o**4\/12 - 43*o**2. Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and 201.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -246, -1, 89.1 in ascending order.\nAnswer: -246, -60, -1, 89.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90256 by -22564.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110671 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*y + 4765 + 22949 = 0. Calculate the remainder when 291 is divided by y.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/263, 1\/44, 0.08 in increasing order.\nAnswer: -1\/263, 1\/44, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171684.\nAnswer: 2, 3, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -3)*(12 - 4). Let f(q) = -q**3 - 9*q**2 - 17*q - 8. Does 16 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 153 - 153 - 3904*a**3.\nAnswer: -3904*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2. Let q = 0.0397 - 5.0397. What is the third biggest value in k, -3\/5, q, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -233307 take away 0.099?\nAnswer: -233307.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - l**4 + 8*l**4)*(0 + 0 + 2*l)*(0 + 5 + 6).\nAnswer: 154*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72187 + 212187. Suppose 3*g - z = -g. What is g rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 6. Let u be t(4). Suppose -6*d - 118 + 28 = 0. Let k = -20 - d. Which is the third biggest value? (a) k (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6 + 3*i - 2*i + 1. Let p = -9 - -9. Determine x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62f (base 16) to base 14\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698362805.\nAnswer: 3, 5, 113224187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358009?\nAnswer: 1358009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {z: 5, b: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 202 - 8*w + 214 to i + p*w and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2. Let x(n) = -4*n**2 + n - 2. Let b(j) = -x(j) - z(j). Let o(l) = 4*l**2 + l. Determine b(o(v)).\nAnswer: 64*v**4 + 32*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwwwywffffwfyffffff. Give prob of sequence wyyf.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1794 and 64707510?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.39453 micrometers to meters.\nAnswer: 0.00003139453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/24 - 2*h**3\/3 + 6*h**2. Let d be i(8). Let v(z) be the first derivative of -3*z**2\/2 + 6*z - 1. What is v(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1417 - -1494. Suppose 2*j = v - 17, -2*j - 5 = -2*v + 19. Calculate the greatest common divisor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1948702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 459 - 211 = 170. Calculate the greatest common factor of 9465 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/337 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/34 and -101\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3*n. Let j be a(-3). What is the third derivative of h**2 + j*h**5 - 3*h**5 + 4*h**5 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) - sqrt(60)\/sqrt(5) - ((sqrt(45)\/sqrt(3))\/sqrt(5) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 + 7*f**3 + 14*f**3 + 31718*f**2 - 31718*f**2 - 63*f**3.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 76, 146, 276, 484?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:18 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-3 + -4 - -8 - 6) + -6 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 7, c: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -379860 times -9.2?\nAnswer: 3494712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsnhxhxzxsnxz. Give prob of picking 1 h, 1 n, and 1 s.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1558*d**2*g**2*s**3 + 4*d**2*g*s**3 + 10*d**2*g*s + 2*d*s**2 + 78*g**2*s**2 wrt s?\nAnswer: -9348*d**2*g**2 + 24*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -19. Suppose 3*g - 2*m - 15 = 0, g - q*m - 18 = -0*g. Solve 3*s = 4*s - g*l + 11, 2*s - 5*l = -19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -479.83.\nAnswer: 527.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 195*s**2 + 781*s + 8. Calculate h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/135 and -55\/5886?\nAnswer: 29430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10210012021 (base 3) to base 4\nAnswer: -102030010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3459 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*u = 101 - 90, -2*j - 2*u = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 + 6*l**2 - 4*l - 37. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**5 - 45*b**4 - 246*b**3 - 576*b**2 - 480*b = 0.\nAnswer: -5, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 23966580.\nAnswer: -23966579.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -46. Let y = -1040 - -1068. Let x = y + q. Which is the nearest to x? (a) 5 (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25608\/(-152581)*52\/(-8).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hhhhhkhhhhk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/88*-1)\/((-18)\/492)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 + 5*w**3 + 3*w**2 - 2*w**3.\nAnswer: -4*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 - 112*d**2 + 2*d + 63. Let q be h(-28). Let v(n) = n**3 - 6*n**2 - 4*n - 5. Calculate v(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5284*r = 2*w + 5280*r - 8, -w - 8 = -8*r for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -15. Let v = z + 4. Calculate the remainder when 59 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 15 = -3*x, -881*x = z - 868*x - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 196*w = -193*w - 41, 0 = 5*p + w - 27. Let h(m) = m**2 + 2*m - 5. Let q be h(-4). Solve -5 = -q*z + p*z + 2*k, 3*z = k - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 240*i = 2670. Let p(g) be the second derivative of -1\/42*g**3 + 1\/7*g**2 + 1\/140*g**5 + 0 + i*g - 1\/42*g**4. Find x, given that p(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 47. Let u = -25 + g. Suppose h - 3*s = -4*h + 70, -5*s = u*h - 19. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rohh when four letters picked without replacement from horohho?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -21*n - 12. Suppose h + 2 = -c, 6*h - 3*h = c + 18. List the prime factors of s(c).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4765 + 4312. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from {e: 1, v: 1, o: 3, m: 4, f: 10}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 3. Let h(k) = k**3 - 3*k**2 - 4*k + 6. Let f be h(4). Let o be l(f). Suppose -2*y = 4*u - 62, y - o*u - 23 = 8. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 210556 = -3592832 - 1271227. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -0.32. Let w = 238.5 + -236.5. What is the fourth biggest value in w, -4, p, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429 and 117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12342 (base 8) to base 15.\nAnswer: 18b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:49 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/((y**4\/y)\/y*y)*y**(1\/5))**(2\/3))**(-3) assuming y is positive.\nAnswer: y**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + p, -5*z - 12*p + 12 = -14*p. Determine r, given that 0 + 0*r**2 + 0*r**3 - 2\/3*r**5 + 0*r + 0*r**z = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 6*i**2 - 3*i + 6. Does 12 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202893.34 rounded to the nearest 100?\nAnswer: -202900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 2002*b + 24*b + 703*b + 5 - 5 in the form f*b + v*b**2 + r and give f.\nAnswer: 2729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275*l + 1615*l + 1653*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:02 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + -8 + -4 + (0 - -26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 439 + -251. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.3. Let f = 0.02 + -2.02. Let p = 15.389 - 15.189. Which is the nearest to -0.1? (a) x (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239055829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 + 57 = -3*g. Suppose 0*v - 4*v + g = y, -3*y = -5*v + 173. What is the greatest common divisor of v and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 2, -7.\nAnswer: -13, -7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13239, 26344, 39433, 52500, 65539, 78544?\n\"Answer: -h**3 - 2*h**2 + 13118*h + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.87 + 12.9. Let t = 1.0184 - w. What is t rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:31 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 22*w - 228. Let o be s(-30). Solve 0 = 2*m - 2*v, -4*m - 2*v - o = -0*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 46*l**2 + 54. Let k = 93 + -116. List the prime factors of c(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 551902\/15 or 36794?\nAnswer: 551902\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1989684 and 95\/259524.\nAnswer: 5969052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 1132316959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9107, -9109, -9117, -9131, -9151?\n\"Answer: -3*l**2 + 7*l - 9111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 67 = 2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41\/137395 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 364 - -18. List the prime factors of q.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -960 and 0.114?\nAnswer: -109.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {p: 1, a: 2, m: 1, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 2:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 - 104*x\/7.\nAnswer: -x*(x + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 2*a + 2. Let n(t) = 3*t**2 + t + 1. Give 2*l(j) - 3*n(j).\nAnswer: -3*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Let n be c\/(-6) - (-52)\/(-12). Let o = -1 - -6. Put n, o, -3 in increasing order.\nAnswer: n, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-1 + -1). Suppose 0 = 3*f + l, 3*r - r = 2*f + 194. Calculate the common denominator of r\/33 + -2 + 1 and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 4. Suppose 3*y - 7 = -z*s, -3*y + 2 = y - s. Is (-10)\/6*-3*y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 4*q + 3. Let u(h) = 15*h**2 + 21*h - 16. What is -11*d(l) - 2*u(l)?\nAnswer: 3*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -5472\nAnswer: -2188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1. Let l(p) = p + 4. Let u(z) = -l(z) + 3*y(z). Let r(s) = 2*s**2 + 4*s + 2. What is -r(f) - 2*u(f)?\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9394 is divided by 2634.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 1900 = 4*n + 4*t, 4*n = -t - 1901. Let o = n + 470. Sort o, 4, -3, 5 in decreasing order.\nAnswer: 5, 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116069663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**3 - 10*w**3 + 4*w**3)*(-4*w + 6 - 6) - 2*w**2 - 3*w**4 + 2*w**4 + 0*w**2.\nAnswer: 63*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/13 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*o**4 - 91*o**3 + 1505*o**2.\nAnswer: 288*o - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 5*n**2 - 4*n**2)*(-2985*n + 7791*n - 1349*n)*(0*n - 3*n + 7*n).\nAnswer: 13828*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 112002213231 (base 4) to base 15\nAnswer: 791e86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2*o + 16, 4 + 4 = 4*t - 2*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1251910 and 6213?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 1. Let o(p) = p**2 + 4*p - 148. Let v(n) = -o(n) + 3*r(n). Calculate the remainder when v(0) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017764443 rounded to 6 dps?\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*c + 2 - 4)*(-8*c + 16 - 16) to f*c + w*c**2 + z and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -156 (c) 0.2 (d) 4 (e) 7 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {h: 2, l: 2, m: 3, v: 2, d: 1, x: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -5, 2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 72. Let y be ((-27)\/t)\/((-6)\/(-16)). What are the prime factors of (y\/4)\/((-3)\/(-28))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*f**4 + 4*f + 33*f**4 + 2*f**2 - 1 - 1 - 3*f + 2*f**3 as d*f**2 + l + y*f**4 + g*f + u*f**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 16. Let r be n(7). Let y be r\/(-2)*10\/(-15). Suppose -3*v = -1 - 2, -v + 112 = y*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 20*o. Solve 3*p + 4*k = -25, o = -4*k + 8*k + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:10 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - j - 2 = -2*m, -5*m - 2*j - 4 = 0. Suppose -4*b + 2*v - 62 = 0, 0 = 2*b - m*v + 5*v + 37. Let d = 74 + b. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)\/i)\/((i*i\/i**(6\/11))\/i)*(i**0\/i)**47 assuming i is positive.\nAnswer: i**(-12237\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*k, k + 2*k = 5*x + 40. Let r(f) = 2*f**2 - 4*f - 7. Calculate the remainder when r(k) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3223589, 3223585, 3223579, 3223571?\nAnswer: 3223561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90723 + -90728. Let n = 1065 + -4297\/4. Let q = 31\/4 + n. What is the fourth biggest value in -0.4, -0.1, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*r**3 + (0*r**2 + r**2 - 2*r**2)*(2*r + 5*r - 5*r) + (1 + 2 - 2 + (3 + 2 - 4)*(1 - 1 + 1))*(9*r**3 + 8*r**3 - 10*r**3).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0789 and -2.3301.\nAnswer: 0.18384489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + (-7)\/((-14)\/(-4)). Let v(x) = -x**2 + 12*x - 8. Is v(z) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 157, 164, 173, 184, 197, 212?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48789117*p**3 - 245913859*p - 1.\nAnswer: 292734702*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Which is smaller: -2\/59 or n?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 348. Suppose 0 = -3*z + b - 12. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-4)\/(-8))\/(714\/84).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*t + 27, -26*l + 28*l - 3 = -t. Solve 0 = 3*c + a, 16 = -c - l*c + 4*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1255406300?\nAnswer: 1255406305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/((-4)\/(53 - 5)). Suppose 2*s - b - 90 = -a, -3*s + 5*b = -104. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4454, 4357, 4268, 4193, 4138?\n\"Answer: w**3 - 2*w**2 - 98*w + 4553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 21*s - 31. Let l be a(22). Let k = l + -19. Let j = 30 + k. Solve 0 = j*t + 2 + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/9 - 226*r**4\/9 + 1414*r**3\/9 - 1678*r**2\/9 - 1412*r\/9 + 1904\/9 = 0. Calculate r.\nAnswer: -119, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 9 - 13 + k**2)*((0 - 2 + 0)*(3 - 1 - 1) - 1 + 2 - 2 + 3 + 4 - 2 - 4 + 0 + 3)*(-k**3 + k - k**2 + k**2).\nAnswer: -4*k**5 + 8*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/25012 and -49\/46?\nAnswer: 575276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - -36240?\nAnswer: 36203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -23134073?\nAnswer: 23134070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96230*a**3 + 96223*a**3 - 288679*a**3 + 96230*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3 + 2*u + 21*u**2 - 15*u**2 + 0*u. List the prime factors of d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q - 2*c - 246 = 0, 2*c = -2*q - 162. Let l be 80\/q*2*6\/(-4). Sort -5, 0, l in descending order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 2, j: 1, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 264.7876 milliseconds?\nAnswer: 0.2647876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 6460 + 14344 = 0. What is the least common multiple of y and 3?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-517)\/846*-3*(-4)\/66?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w = -37*w + 780. Let y = w - 115. List the prime factors of y.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3823 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/15 - 2*c\/5 - 12\/5 = 0. What is c?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 391 and 19700144?\nAnswer: 19700144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a7a (base 12) to base 15\nAnswer: -6c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 12*j + 12. Suppose -5 = 27*z + 22. Let y be q(z). Solve -y*v + 0*v + 4*b = 14, -4*b + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 27. What is the biggest value in v, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 108 = 2*j, 0 = 3*j + 2*i - 158. Calculate the remainder when j is divided by 0 - -19 - (2 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-502*o + 22 + 26 - 49)*(3*o**3 - 3*o**3 + o**3).\nAnswer: -502*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 427335531*y**2 + 1386590474 with respect to y.\nAnswer: 854671062*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*b + 5739 = -19*b - 20 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -982, -1969, -2956?\nAnswer: -3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let i(n) = -2*n + 3738946. Calculate i(h(m)).\nAnswer: 2*m + 3738946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 79868085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51\/68 + (-45)\/(-4) and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**3 + 2. Give u(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i**2 - 3*i - 3. Let v be t(3). Let d = v - -4. Solve d - 7 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 9. Let b(w) = w**2 + 3*w - 2. Let f(i) = i**2 + 17*i - 16. Let l(v) = -2*b(v) + f(v). Give l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1598 and -107\/850.\nAnswer: 39950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Let u = 6 + -6.1. Let i = u - 0.9. What is the biggest value in g, i, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-12))\/((-84)\/(-58)). Let b = f + 1\/36. Suppose -6 = s - 0*r + r, 0 = s + 3*r + 12. What is the third biggest value in 0.4, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -404 + -320. Let u = -430 - j. Let x = u + -209. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1747*l + 872*l + 876*l - 356)*(1 - 2*l + 0*l + 4*l) to the form a*l + k + r*l**2 and give k.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 202 - 71 + 761)*(t**4 + 4*t**4 - 3*t**4).\nAnswer: 1802*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324560 and 47061200.\nAnswer: 47061200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 3*b**2 + 3*b + 1. Let k(q) = 3*q**3 + 6*q**2 + 6*q + 2. Let w(a) = 2*k(a) - 5*r(a). Give w(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2669 + -2653. Solve 92 + 20 = -o*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*k + 4*c + 71, 4*k - 25 = -5*c. Suppose 7*g - k*g = -36. Solve 3*o = 3 - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/20)\/(1421\/(-3654))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1. Let x(o) be the first derivative of 3*o**2\/2 - 3*o - 8. Determine 3*u(v) + x(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2. Let b(y) = 14 - 14 - 18*y**2 - 152*y**2. Give b(v(u)).\nAnswer: -680*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 645, 1277, 1909?\n\"Answer: 632*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from ozvobsobvvvbb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -5. Let v = 5 - b. Let l(d) = -d**2 - d**2 + 6 + d**2 - 5*d + d. Determine l(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 13. Determine c(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*k**2 - 5791*k - 40985 with respect to k.\nAnswer: 24*k - 5791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 6. Let i(a) = 2*a**2 + 11. Let c(o) = -6*i(o) - 11*n(o). Suppose k - 4*k = -6. Let q(g) = 3*g**2 - 2*g**k + g**2. What is c(q(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, j: 3}. Give prob of picking 3 b.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*c**2\/11 - 26992*c\/11 + 434646\/11 = 0. Calculate c.\nAnswer: 81\/5, 2683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 649\/88) + ((-10)\/(-15) - (-50)\/15)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 582?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 2, i: 5, a: 7, o: 4}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by ((-309)\/15 - -12)*-10.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72148885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*o**5 + 35505*o**4 - o**2 - 62271*o + 3356 wrt o.\nAnswer: 360*o**3 + 426060*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.3, -8, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*l - 6*l. Suppose 0*n = 5*n - 25, 0 = -l*k + n + 15. Suppose 5*w + 0*p - 62 = 4*p, 2*w + 4*p = 8. Solve -i + 3*o - 2 = 4*o, o - w = -k*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 131, 992, 3321, 7850, 15311, 26436, 41957?\n\"Answer: 122*i**3 + 2*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -17*l + 10. Solve 2*d - 5 = o, -4*o - d + 24 = l*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.048 + -82943191.8\nAnswer: -82943191.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.19 + 9.6. Let n = -271 - -272.49. Let d = u + n. Round d to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 24. Calculate v(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(225\/20))\/(1\/((-27)\/6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -99, -3, 0.2, -22, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (264\/(-5))\/(12\/(-180)). Calculate the greatest common factor of f and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -13.4. Let m = i - -0.3. Which is the smallest value? (a) m (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -6 + 14\/21. Let v be (1 + 0)*6\/15. Let c = 0.02 + 0.98. Put d, v, c in descending order.\nAnswer: c, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/30 and 14\/(7065\/55 + -3).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4185261 divided by 3\nAnswer: 1395087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19211 and -712.7?\nAnswer: 13691679.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 + -66.17. Let j = 3194.64 - 3130. Let h = p + j. What is h rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-44\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18506 - 2977. What are the prime factors of h?\nAnswer: 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98, 103, 108, 113, 118, 123?\n\"Answer: 5*h + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = 4*r. Let i be r\/3*(-2 + -82). Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.237 + 0.037. Sort 0.5, 181, r in decreasing order.\nAnswer: 181, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x**3 + 208*x**2 - 4*x - 8. Let u(a) = 18*a**3 - 207*a**2 + 5*a + 10. Determine -5*n(k) - 4*u(k).\nAnswer: 3*k**3 - 212*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.48359 - 0.01641. Which is the biggest value? (a) 23 (b) r (c) 21 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56640215.\nAnswer: 5, 103, 109, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -785, -1607, -2453, -3323?\n\"Answer: -12*f**2 - 786*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l - 3. Let r = 10 + l. Let q = r + 1. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 47551?\nAnswer: -47493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 14*t - 787 + 644, -o = -4*t - 14 - 33 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401203232201 - 4?\nAnswer: 401203232142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29\/58*(-4)\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 143.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76723\/28 - 2743. Find the common denominator of r and -2 - ((-186)\/8)\/1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6624, -26490, -59606, -105978, -165612, -238514, -324690?\n\"Answer: -m**3 - 6619*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3661*z**2 - 6 + 21783*z**2 + 4 + 316*z**2 + 21599*z**2.\nAnswer: 47359*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 <= 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 20*k**2 - 44*k + 22. Let a(u) = u**2 - 2*u + 1. Let p(f) = -22*a(f) + w(f). Let i(x) = 17*x - 3*x - x. Calculate i(p(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -170139 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:28 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 20, -2*y - 5*t + 28 = -0*t. Let i(o) = 3*o**2 + 4*o + 3. Let w be i(-3). Suppose -7*k + 2*k + 20 = -5*g, 5*k - w = 3*g. Solve r + k = y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*b + 8, 0 = -b + 2 + 2. Let v(j) = j**2 + 7*j - 1. Let d be v(o). Let y = d + 22. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 296*k**2 - 10538*k - 10836 = 0. Calculate k.\nAnswer: -1, 63, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4.068938\nAnswer: 0.4068938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 19865494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4878 - -4924. Suppose 0 = 2*d + 2*b - 28 - 0, d - 4*b + 6 = 0. Calculate the lowest common multiple of d and m.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/13 - -1*2. Let d = 0 + 2. Which is the nearest to -1\/4? (a) o (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let r(g) = g**3 - 10*g**2 + 8*g + 8. Let t be r(9). Let v = l - t. Which is smaller: 3\/4 or v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 10*c - 40. Suppose -c*j = -18 - 26. Calculate the remainder when 29 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 125659208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2139*y + 918 = 2190*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((22848\/392)\/(-68))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 246*p - 403. Let f be 7*-8*3\/(-28) + 1. Is r(f) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8778 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3)*m*m*m*m\/m**(3\/8))\/(m\/m**(-9)*((m\/m**(2\/19))\/m)\/m)*(m**(1\/2))**(-27)\/(m*m**(-1\/4))**(26\/3) assuming m is positive.\nAnswer: m**(-4145\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. What is the second biggest value in 4, -3, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 36. Solve 0 = i*x - 5*p + 4, -11 = x - 3*p - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32077235?\nAnswer: 5, 6415447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*s - 104*s + 2 - 16*s to the form a + z*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -170\/39 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/14*-2*1 + 3. Let i(u) = 21 - 3*u + k*u + 9. Let z be i(10). What is the greatest common divisor of z and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408115 a multiple of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 70 - (1 + 95 - 95)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 2, l: 1, a: 2, n: 1}. Give prob of sequence adl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - x - 29 = 0, -5*x + 0*x = 5. Let u = y + -8. What are the prime factors of (-1)\/(68\/72 + u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = a + 9, 8*a - 16 = 12*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*s**2 - 47*s**2 - 39*s**2 + (-s - 4 + 4)*(0 + 0 + s) - 1203 + 38*s**2 + 1203.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 490915?\nAnswer: 177\/490915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7808 is divided by 1915?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 699610, 699644, 699678?\n\"Answer: 34*c + 699576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = -5*f + 165, -4*f + 127 = 5*q. Calculate the highest common divisor of 76 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 + 21 = 0. What is the smallest common multiple of 6 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v**(4\/7))\/(v\/((v\/(v**(2\/13)\/v)*v)\/v))**44 assuming v is positive.\nAnswer: v**(3245\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 14) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*b = -7*b - 9, 0 = x - 2*b + 3. Let t(n) = -n + 5. Let h be t(x). Let g = 204 - 3466\/17. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1701\/(-1701))\/((-3)\/((-66)\/2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8 + w**2 + 0*w**2 + 0*w**2 in the form h + p*w + b*w**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322.8 - -33.8. Let a = -289.1 - u. Let g = 75 + -223\/3. What is the third smallest value in 1\/3, -0.6, g, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 4.56\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -203*z + 3668. Let v be l(18). Solve -4*i - 2*o - v = 0, 9*i - 4*o + 27 = 6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 16, -2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1831715390 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 33. Let n be 21\/((-5)\/2 + 1). Let t be m(n). Let a(j) = -j + 3. Determine a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*h - 292*h - 144*h - 141*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 565, 1381, 2243, 3151?\n\"Answer: 23*w**2 + 747*w - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3547416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*l - 6 = 1, 2*l - 12 = -5*s. Suppose -s*f = 2*f. Put f, 2, 3 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 - (-321 + 330)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3398143 decades to years.\nAnswer: 3.398143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1767 = -22*j - 2*j - 69*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehxh when four letters picked without replacement from {x: 1, r: 5, h: 3, e: 9}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (20 - -14 - 18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*x + 19 = 2*d, -2*x = -2*d - 16. Sort 0, 5, 1, d in ascending order.\nAnswer: d, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125426, 125027, 124628, 124229, 123830?\n\"Answer: -399*u + 125825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34832.0811 and -0.4.\nAnswer: -34832.4811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + f - 3*f)*(4 + 2 - 4)*(-69 + 40 + 4526*f + 29).\nAnswer: 27156*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**2 + 57*z**2 - 12 - 145*z**2 + 12 + 51*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**8\/x*x*x))**(1\/20)\/(x**(-2\/73)\/(((x\/(x\/(x**(2\/7)*x)))\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-222\/2555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73169859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 55994172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 9141 and 427.\nAnswer: 9568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 33*k**4 - 2*k**3\/3 - 6*k**2 - 12*k. Let i be z(-4). What is i rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14918418*p**2 + 17766524*p?\nAnswer: -29836836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 964 or 965?\nAnswer: 964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*d + 3*d - 31, 39 = d + i. What is the remainder when d is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 341494?\nAnswer: 341499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Suppose -2*i = -h*c + 10, 4*i - c - 21 = -6. Suppose j - i = 9. Calculate the remainder when 41 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:29 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -6 (c) 5\/7 (d) -4 (e) -0.5 (f) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2067111106 to the nearest integer?\nAnswer: 45465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*d - 96 = -218*d. Suppose -d*c + 16*c - 68 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 5*r - 4. Let h be v(-3). Which is smaller: 3\/5 or h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**2 - 13*a**2 - 33*a**5 + 11*a**5 wrt a.\nAnswer: -1320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -42. Let h = 25 - w. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6695434, 6695439, 6695444, 6695449, 6695454, 6695459?\nAnswer: 6695464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2. What is m(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:48 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a factor of 10182432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/3 - 32389370*i + 157360693349535.\nAnswer: 5*(i - 9716811)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-7)\/(-2))*80\/12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245962 and 1150?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/9 - 824*x**2\/9 + 52450*x\/3 - 702500 = 0. What is x?\nAnswer: -562, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + j + 105. Solve 0 = -j*d - c + 4*c + 20, 3*d = -3*c + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:21 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - -3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*a**3 - 265*a**2 + 265*a**2.\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 0.5, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**3 + 8*y - 2. Let z(r) = r**3 - r**2 + r - 1. Let i(x) = -u(x) + 3*z(x). Let p(k) = 9*k**3 + 4*k**2 + 6*k + 1. Give 6*i(q) + 5*p(q).\nAnswer: -3*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 6590. Let b(p) = -6078*p**2. Determine i(b(n)).\nAnswer: 12156*n**2 + 6590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -6, 1945 in descending order.\nAnswer: 1945, 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g**2 - 363*g - 266. Let l(z) = -4*z**2 - 73*z - 53. Let m(u) = -2*d(u) + 11*l(u). What is the derivative of m(i) wrt i?\nAnswer: -4*i - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/2))**(-42)*v*v**(2\/3)*v**0)\/((v*v**(2\/3))\/((v**(-3\/2)*v)\/v)*(v\/v**(2\/7))**(3\/34)) assuming v is positive.\nAnswer: v**(-7683\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + m)*(4*m - 3*m - 2*m)*(-20 - 10 + 7) + m**2 + 5 - 5 to d + j*m + t*m**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14697937627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 399 = -1329. What is the remainder when g is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 + -141. Let v = 24.64 + s. Round v to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4699014.44927 less than 5?\nAnswer: -4699009.44927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 213537 divided by -321\nAnswer: -71179\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmwwwmwmmwm.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1155)\/(-616) + (-988)\/32.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, g: 5}. Give prob of sequence gqgg.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (4 + 1 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24892)\/(-20482) - (-68)\/187*1.\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 - 5*p - 6. Let o(b) = 7*b**2 + 5*b + 7. Let d(w) = -3*o(w) - 4*s(w). Let j be d(-3). What is the tens digit of ((-21)\/(-5))\/(3\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*r**2 + 177*r**2 + 98*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149 * 1058.\nAnswer: 157642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7575, 15149, 22723, 30297?\nAnswer: 37871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 - 2*q**2 - 3*q**2)*(489 + 480 - 948 - q) to n*q + u + v*q**3 + d*q**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 7}. What is prob of picking 1 f and 3 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2901.91t to micrograms.\nAnswer: 2901910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.671.\nAnswer: -2.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242322, 242323, 242324, 242325, 242326?\nAnswer: 242327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 33\/7, -1, -397?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.103 + -0.363. Is k > -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 160*r**3 - 168*r**2 - 160*r + 164 = 0 for r.\nAnswer: -41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1092432, 2184856, 3277280, 4369704?\nAnswer: 5462128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21031 + 26611 - 15750 + 17642)*(-1 + 5 - 2)*(-4*w + 0*w + 5*w) to the form m*w + q and give m.\nAnswer: 99068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/20 + (5 - 856\/160). What is the third smallest value in s, 3065, 0?\nAnswer: 3065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 14. Let x(m) = -3*m - 27. Let a be x(-11). Let u be f(a). Let b(g) = -82497*g - 24. Let v be b(u). What is v rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 19. Which is the third biggest value? (a) 0.6 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4327308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84717)\/197673*11*((-1)\/(-1))\/3?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwpppeelplwlepppp. What is prob of sequence pw?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33.56 (b) -17\/6 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 413.\nAnswer: 0, 5, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 53*q**2 + 353*q + 17. Determine w(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -5*o**3\/6 + 2300*o. Let q(l) = -2*l - 127. Determine b(q(s)).\nAnswer: 10*s + 635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2228, -2194, -2178, -2204, -2296, -2478, -2774?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -402, -399, -394, -387?\n\"Answer: h**2 - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 62*r**2 + 6*r - 3. Determine s(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 at most 2318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340377130?\nAnswer: 2, 5, 53, 557, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6766296 and 32?\nAnswer: 27065184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/33*(-27)\/(-18) - 2550\/360.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.8117626881 + -10?\nAnswer: -589.8117626881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-26)\/4)*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/(-6)*(-91224)\/(-420) is divided by 190.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-546)\/(-672))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 17. Sort k, 3, -3 in ascending order.\nAnswer: k, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 6. Let n be y(-6). Suppose n*m - 4*m = -84. Let w = -15 + m. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - 2*i**2 + 7*i**2)*(-4*i**2 + 4*i**2 - 2*i**3) + (3*i + 4*i - 5*i)*(0*i**3 + 2*i**4 + 0*i**3) + i**5 - 7 + 7.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 63, 76, 99, 150, 247, 408, 651?\n\"Answer: 3*s**3 - 13*s**2 + 31*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121.82 + -117. Let v = r + -4.8200498. What is v rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-5\/3))\/j*j)\/j*j*j**(1\/3)*(j*j**(2\/3)*j)**(-11\/7)*(j**(2\/7))**(-1\/10)\/(j**(1\/4))**(-3\/11) assuming j is positive.\nAnswer: j**(-16097\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.059 and 0.009775.\nAnswer: -0.000576725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/324 and -91\/149892.\nAnswer: 4047084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11934028, -11934023, -11934008, -11933977, -11933924?\nAnswer: -11933843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.4 + 9. Let s = x + 0.4. Let v = 0.317 + -0.117. Which is the second biggest value? (a) -1 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 205 = 29 - 101 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 2. Let s be (z - -6)\/(25\/10). Let c = -36 - -50. Solve l = -a - a + 2, -2*a + c = -s*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.45 + 18.45. What is the second smallest value in i, -1\/25, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c + 6. Let y be m(-4). Suppose 0 = -34*t + 5*t + 58. Solve -2*a = 2*n + 2 + t, 4 = -y*a + 2*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let v(z) = -z**2 - 9*z - 13. Let x be v(-7). Let i(u) = 3*u**2 - 6*u + 2. Give x*i(w) - 5*c(w).\nAnswer: 3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/11)\/p*p)\/p*p\/p**(-25)*p assuming p is positive.\nAnswer: p**(276\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 12, 17, 24?\n\"Answer: z**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7972 and -314?\nAnswer: 2503208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 25868.\nAnswer: -1\/6467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j**2 - 152*j - 5. Let p(x) = -32*x**2 + 153*x + 6. Give 5*a(l) + 4*p(l).\nAnswer: 2*l**2 - 148*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = 26*a + 99*a - 533785. Is a greater than or equal to 3532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.02 + -14. Let d = y + -0.016. Let v = 0.00371 - d. What is v rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 231775747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.22 + 0.22. Sort -0.06, p, -2.\nAnswer: p, -2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 2. Solve t*q + 5*r + 2 = 4*r, 4*r = -5*q - 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -14*s**5\/9 - 205510*s**4\/9 - 366081002*s**3\/3 - 2497671891026*s**2\/9 - 1986770085311932*s\/9 - 189148243278032\/3 = 0?\nAnswer: -4297, -1788, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**(7\/11)*r**5\/r*r**(-4))**(2\/39) assuming r is positive.\nAnswer: r**(14\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-13 - (0 - 1))*(-3)\/6 and 190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -2\/17, 16, -3\/4, -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:36 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 10. Suppose -16 = 21*d - 19*d. Give k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 99, 221, 391?\n\"Answer: 24*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46944217*p - 46944222*p + 93888404*p.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 17*i**4\/12 - 17*i**3\/6 - 22*i. What is the second derivative of j(o) wrt o?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1724*j - 1001*j - 1954*j - 1891*j)*(4 - 2 - 1)*(3 - j - 3).\nAnswer: 3122*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwggl. Give prob of picking 1 w, 1 g, and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3507.133.\nAnswer: -3507.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 3. Let n be s(-3). Let y be 376\/3 + (-12)\/(-18). Suppose -5*i - 16 = -y. Solve -5*j - i = -c, 2*c - 2*j = -6*j - n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) 0.4 (c) 1\/5 (d) 1\/3 (e) -4 (f) -14\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, f: 1, l: 2, s: 3}. Give prob of picking 2 s and 2 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -93*o + 7. Let p be w(-8). Suppose -486 = 2*r + 2*b, -3*b + 270 = 2*r + p. Let f = r + 361. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.7 - 14.7. What is the closest to 2 in -3\/2, y, 7\/5, 1\/4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 0 - (5 - 202) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**6\/3 + 28*l**5\/5 - 5*l**2 - 71. Find the second derivative of v(d) wrt d.\nAnswer: 40*d**3 + 336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239*x + 52508 - 8536 + 67046 = -25272 for x.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7*c + 10*c + 438 = 0, -3*n - 3*c + 426 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 677*d - 4 - 66*d + 3 to q + a*d and give a.\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 35 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/325 + -313\/975. What is the nearest to y in -0.5, -2\/9, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17779.749373 less than -550?\nAnswer: -18329.749373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 51196725?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -6. Let r = -32 - -50. Suppose 25*n = r*n + 42. Calculate the smallest common multiple of x and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79690, 79691, 79702, 79729, 79778, 79855, 79966?\n\"Answer: h**3 - h**2 - 3*h + 79693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 7. Let x be d(-14). Let z(h) = -h**2 - 9*h - 9. Let j be z(x). Solve j*r + i - 3 = 2, -4*i - 2 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492653481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 3*g + 2*g + (-3 - 2*g + 3)*(4 + 0 - 3) + 3*g + 387 + 85 - 128 to z*g + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839902220 rounded to the nearest 1000000?\nAnswer: 6840000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 31 = -3*m + 36, 73 = -m + 9*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.075939 minutes to nanoseconds.\nAnswer: 304556340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 50 = -5*n, -3*n + 4*b + 42 = -n. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 2*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4897201?\nAnswer: 29, 168869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 less than 22?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*f + 27 = 11, 5*f = 0. Let i be (6 + (-1 - 6))*g\/2. Solve -z + 4*y + 8 = -3*z, -y - 20 = -i*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 92\/140 + 2\/14. Is 2 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*m + 22 = -8, 0 = -l + 2*m + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 9*n - 7*w = -3, -1 = -w. Solve -4*y + 24 = -n*y - 4*l, 3*y - 5*l - 32 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11944 + -11941. Put 7.2, -3, 3\/8, u in increasing order.\nAnswer: -3, 3\/8, u, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -107. Let d = -2\/127 - 365\/1016. Let s = 0.11 + 0.89. Which is the nearest to s? (a) x (b) d (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:46 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 1. Suppose 2 = -2*j + 4. Is u(j) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1178\/137 less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l + 0)*(4 + 2 - 5)*(0 + 3 - 2) - 15*l + 13 - 13.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -1\/15*w**6 + 0 + 7\/3*w**3 - 2*w**2 + 1\/2*w**5 - 3\/2*w**4 + 22*w. Suppose d(c) = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -19 in ascending order.\nAnswer: -19, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.1535, 131, 2\/43 in decreasing order.\nAnswer: 131, 0.1535, 2\/43, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - -4866809.\nAnswer: 4866837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 4*u + 18)*(0*u**2 - 2*u**2 + 4*u**2).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 3 - 0\/2. Suppose 0 = -z*h - 3*h + 6. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207116 equal to 207115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*j - 13, 0 = -2*j - 2*p + 8 + 6. Let n(g) = 1. Let z(r) = r + 13. Let o(x) = j*n(x) - z(x). Give o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 12\/((-132)\/(-77))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55769479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z\/z**6)*z)*(z\/(z*z*z**(2\/53)\/z)*z)\/z)**(1\/36) assuming z is positive.\nAnswer: z**(-107\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 11. Solve v = -2*s - 4, -v - 3*s = -z + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -0.12 (c) 12.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5*w - 77*m**4*w - 5*m**2*w - m**2 wrt m.\nAnswer: -60*m**2*w - 1848*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*(-3*2\/24 + 0). Suppose 5*j - 11 + 36 = 0. Sort j, o, -2 in increasing order.\nAnswer: j, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 19*s + 1514. What is n(-50)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1318443 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518503 and 41728.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + p**2 - 1. Determine f(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 - a - 6. Let k(x) = -4*x**2 + x + 7. Let g(o) = 2414*o - 4. Let h be g(0). Calculate h*k(r) - 5*m(r).\nAnswer: -4*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22112002 (base 3) to base 2.\nAnswer: 1100001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -585 + -505453.\nAnswer: -506038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/168 and 1\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17346239143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509923 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*d**3 + 15*d + 10*d + 144*d**3 - 7*d in the form b + p*d**2 + g*d**3 + x*d and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((-5*sqrt(200)*1 - sqrt(200)) + sqrt(200) - sqrt(200)) + 5 + 4*((-3 + sqrt(200) - sqrt(200)) + -1))*-1)**2.\nAnswer: 1440*sqrt(2) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/60 - 5*z**4\/24 + z**3\/2 - 13*z**2. Let x be c(3). Let f = 2 + x. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/9966 and -23\/644619.\nAnswer: 14181618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 48*m**2 + 48*m**2 - 95*m**2 - 12*m + 1 to b*m**2 + d + l*m**4 + o*m**3 + i*m and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 5726*q**2 + 470059*q + 1788556.\nAnswer: -(q - 5807)*(q + 4)*(q + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 441*c - 23179. What is h(-61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3540 = -7844. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6852, -6848, -6842, -6834?\n\"Answer: r**2 + r - 6854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 414, 3819, 12896, 30429, 59202, 101999, 161604, 240801?\n\"Answer: 464*g**3 + 52*g**2 + g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8255*q. Let l(o) = 2*o. What is r(l(y))?\nAnswer: 16510*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1014744425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = m - 4*m. Let n = 21 + 25. Let p = m + n. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48369424 divided by -4.\nAnswer: 12092356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121\/2 + -69. What is the common denominator of 55\/6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126)\/((-7)\/1)*2\/4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -2 - (668 + -758)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009273 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 4*h**2 + 6. Let j be y(3). Let l = 23 + j. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/510 and 187\/1128510.\nAnswer: 19184670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + (-17 - (-1 + (-3 - 0)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*(x**1*x)\/x)\/x)**(-5)\/(x\/x**(-1)*x*x)**(-20) assuming x is positive.\nAnswer: x**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/6*(0 + -2). Let j be -1 + (-1 - (-4)\/2). Let k be j - r\/(21\/18). Solve -2*u = k - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/34)\/(((-27)\/(-12))\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -29. Suppose 0 = -3*f - 4*d + 25, 4 = x*f + d - 6. Let t be (-5)\/(-15) + (0 - (-64499999)\/f). Round t to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/((-1)\/184). Let s = m + 131. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14224302 - -2121?\nAnswer: -14222131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1 + 0*c - 6*c + 2*c + 4. Let z(a) = -a**3 + 3*a**2 + 6*a - 5. Let d be z(4). Suppose 5*t + l + d = 17, t + 5*l - 22 = 0. Give g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -4\/5 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -7) + 0 + 1 - (44 + -57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4262, 8535, 12808, 17081?\nAnswer: 21354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**7\/840 + 7*y**6\/360 - 7*y**5\/120 - 5*y**4\/8 + 7*y**3\/3 + 6*y - 59. Let u(t) be the third derivative of w(t). Factor u(o).\nAnswer: -(o - 5)*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 64700068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232313 + 13?\nAnswer: -232300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23559.\nAnswer: 3, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81961 is divided by 188?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -211122312032?\nAnswer: 211122312100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2518017 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991056413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1678 divided by 398261\nAnswer: 1678\/398261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8182 - 2.126. Let c = -20.3 + 21. Let u = c - j. What is u rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2617.999998342 + 2618. What is x rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36465015?\nAnswer: 3, 5, 1021, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267 + 1085. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*q + 5525 + 7683 = 133*q for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.93 + -2091861?\nAnswer: -2091855.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -1.9. Let h = m + 4. Let l = -269\/42 - -85\/14. Which is the nearest to l? (a) h (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 2488, 5704, 10206, 15994, 23068?\nAnswer: 31428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14595 + -14590. Which is the second smallest value? (a) q (b) 15 (c) -4 (d) -3 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 13 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 + 2. Let l(n) = -441*n**4 + n**3 - n**2 - 711. Let k(s) = c(s) - l(s). What is the derivative of k(g) wrt g?\nAnswer: 1764*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69, -312, -723, -1302, -2049, -2964?\n\"Answer: -84*n**2 + 9*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 50382.\nAnswer: 50382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 3. Let d be w(-5). Suppose -m = -44 - 26. Suppose -x + m = 4*x. What is the highest common factor of d and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497 is divided by 751.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from {s: 1, r: 5, x: 1, l: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 3897474?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 4*m**2 - 2*m - 4. Let f be c(-3). Let k = 13 + f. Suppose 2*x = -2 + k. Calculate the least common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-5)\/3)\/5). Let c = 6 + p. Is (1\/(-3))\/(c\/(-54)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617093431?\nAnswer: 14411, 42821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-13)\/65)\/(24\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6) + -2)*-614. Suppose 0 = -67*u + 72*u - d. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnirnininiiri. What is prob of sequence nn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by (((-700)\/49)\/(-10))\/((-1)\/(-42)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -1. Let m = -2 + q. Let d = -11 - m. What is the second smallest value in -2, 0, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(54) - 1*sqrt(54)) + sqrt(54) + sqrt(54))\/sqrt(2) - ((2*sqrt(3))**2 + 4 - (sqrt(42)\/sqrt(2) - sqrt(21))\/sqrt(7)).\nAnswer: -16 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1253505505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -342895.31 + 18912606.91. Let y = 18569641.5999934 - g. Let i = y - -70. Round i to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -212021?\nAnswer: -212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2. Let q(f) = 2*f + 7*f - 3*f. Give i(q(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36\/15*10*(-1)\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -189.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*y**3 - 80*y**3 - 78*y**3 - 91*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -3. Let m be (-1)\/(2\/r*2). Which is greater: m or 10\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 7}. Give prob of picking 1 w and 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0886 - -625.9114. Let i = u - 626.696. Round i to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10600*r**3 - r + 1. Let p(g) = -g**2 + g + 7. Let s be p(3). Let f be h(s). Round f to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 2*h**2 - 4*h**2)*(4 + 8 + 17)*(2*h**3 + 2*h**3 - 8*h**3).\nAnswer: 116*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 350837863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1944 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129198855 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u. Let q(n) = 2. Let j(v) = v + 3. Let y be (3 - 7)*2\/4. Let i(l) = y*j(l) + 3*q(l). What is r(i(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0.3, -12748, 32.4, 0.2?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3. Let u(b) = b - 6. Suppose k + 7 = -0*k. Let o(j) = k*g(j) + 4*u(j). Determine o(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25281 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: Solve -6*a + 3*a + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -9*i**8\/112 - 17*i**5\/60 - 7*i**3\/3 + 15*i**2 + 11*i. Find the third derivative of f(q) wrt q.\nAnswer: -1620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3568, -0.2, 7, -2, 4?\nAnswer: 1\/3568","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + o + 12 = -2*s, 0 = -2*s - 2*o + 19586 - 19582 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 123782.\nAnswer: 1\/123782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -450 equal to 0.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from owwawwawwoww?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h + 51793*q + 173 = 51792*q, -5*h + 4*q = -30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 30 = 10*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - 8*d + 2. Let a(w) = -20*w**2 + 25*w - 7. Let j(o) = -2*a(o) - 7*g(o). What is j(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1701 or -2?\nAnswer: -1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2041, -2040, -2039, -2038, -2037, -2036?\n\"Answer: d - 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 1070.\nAnswer: 18190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 98*y**2 - 3526*y + 541. Determine f(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 2.\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o - 548. Let y = o + -11. List the prime factors of y\/10 + (-3)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -114*p - 1741. Let h(u) = 21*u + 349. Determine -11*h(q) - 2*o(q).\nAnswer: -3*q - 357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose -q = -p*q - 4*g + 176, 2*q + 5*g = 180. Suppose q = 5*m - 45. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9*g = -40. Let b = 0.2 + 0.3. Let r = 0 - b. Put r, -6, g in decreasing order.\nAnswer: r, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 5*b**2 - 6*b - 7. Calculate j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*a + 35, 24 = -3*a + 4*w + 10. Solve 3*z = a*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5435*-0.03378\nAnswer: 183.5943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j. Let z be w(-2). Let i = 11 + z. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 29 in descending order.\nAnswer: 29, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*r + 3732 = 170*r - 128*r. Let m be 2 + 75\/1 + 2. Suppose m = 3*g - 5*a + 30, -27 = -4*g - a. What is the least common multiple of r and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -378 or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*f + 2*d + 102 = 313*f, 3*f - 2*d = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from zveszvvssfnze?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -469, -1519, -2613, -3217, -2797, -819, 3251?\n\"Answer: 89*m**3 - 556*m**2 - 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 0)*115724268\/1782. Round t to the nearest 1000.\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -82. Let f = 68 - y. Calculate the remainder when 161 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 77*m + 848. Let l be i(-11). Let a(t) = t**2 + 1. Let w(z) = -6*z**2 + 2*z - 1. Determine l*w(p) + 5*a(p).\nAnswer: -p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.62 + -5.18. Let i = j + 0.8. Let n = i + 4. Sort -3, n, -2 in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/33*95\/((-1710)\/108)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6c (base 16) to base 7\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7823 is divided by 435?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-839*y + 288*y - 972*y)*(3 - 2 + 0 - 2 + 4 + 0 + (6 - 5 - 3)*(2 + 1 - 1)).\nAnswer: 1523*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:41 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 22. Let f = q + -5. Suppose 12 = -f*g - 13. Which is the closest to -1? (a) 0.2 (b) g (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, r: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*a - 83*a = -4128. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -8 - -2) + -2. Suppose 2*f - 21283 = 3*k - 2697, -m*k + 27879 = 3*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148614316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 2295.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 divided by -12?\nAnswer: -229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from fflflflffmnlljufjl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 289604*j*m - 6*m - 24921 wrt j?\nAnswer: 289604*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -2*r, -3*l - 1 + 2 = -r. Suppose 447 = 3*a + r*g, -5*g + 83 = a - 56. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3199395 and 8531720.\nAnswer: 25595160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10192 = 8*w + 1576. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 13. Let n = 266 + -314. Let l = -37 - n. What is the least common multiple of z and l?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzggzgzjzzzjggjggs. Give prob of sequence sj.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 12*n + 36. Let h be s(-5). Let m = h - -55. Let y(p) = -p**2 + 5*p + 7. Let v be y(m). Which is the nearest to -2\/5? (a) 0.2 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(13\/2)\/(i**(1\/4)\/i) assuming i is positive.\nAnswer: i**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1201 + 444*x + 1201 + (3 - 2*x - 3)*(3 - 3 - 2) + x + x - x in the form r*x + g and give r.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*f**3*w**3 - 237*f**3*w**2 - 4*f*w**3 + 16*w**3 - 7*w**2 wrt f?\nAnswer: 120*f*w**3 - 1422*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15075449 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308 - 546. Let o = -113 - k. Calculate the highest common factor of 50 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -16*a + 328. Give c(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.36 - -18.4721. What is d rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n*n*n*n\/n**(-1)))*n*n\/(n*(n*n**4)\/n*n))\/(n**(2\/9)*n*n*n**5*n))**(-14\/13) assuming n is positive.\nAnswer: n**(1036\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43696498631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 != -176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + 75\/12. Does 6 divide (-4)\/h + (-40)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/1667 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 42. Let i = 10 - c. Suppose -29*h - 28 + 13 - 43 = 0. Sort h, 3, i in ascending order.\nAnswer: i, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 10, 9, 6, 1, -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 20 = -6*y, -36 = 4*u - 4*y. Let t be (30\/(-28) + 1)*(79 - 83). What is the fourth smallest value in t, 1\/3, u, -0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0961308008271 take away 0.5?\nAnswer: -0.5961308008271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -31*n**6\/15 + n**3\/6 - 53*n**2\/2 - 100*n. Find the first derivative of t(c) wrt c.\nAnswer: -248*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4578726 and 20898?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 - 167*u**2\/7 - 655*u\/7 - 489\/7.\nAnswer: -(u + 1)*(u + 3)*(u + 163)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 3*p**2 - 29*p - 190. Determine m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 50269*k**2. Let b(r) = 12*r. Give b(d(c)).\nAnswer: 603228*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 + 4*p + 4. Let g be (-13 + 10)*(-2)\/2. Let b be i(g). Let j = b + 335\/6. Sort 0, -4, j.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4\/5 - 17542548*j**3\/5 + 157883148*j**2\/5 - 94729932*j + 473649768\/5 = 0.\nAnswer: -4385646, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20*150\/(-4))\/((-135)\/(-270))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 87*b**2 + 101*b**2 - 16*b**2 + 686*b**3 to the form f*b**2 + p*b**3 + r*b + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137.1141 - 2.2441. Let n = u - 2.87. Let o = 132.089 - n. Round o to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 86 + 574. Let i = -74287\/1211 - -10\/173. Let w = y + i. What is the second smallest value in 0.2, -3, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.071 + 1.3.\nAnswer: 1.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l - 1. Let w be g(1). Let m(i) be the second derivative of 175*i**4\/12 + 48*i. What is the units digit of m(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 16 = 0. Let c = -3 + n. Calculate the lowest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4 + -1 + 3)\/(-1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1\/(-6))\/((-33)\/12)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -10) + 7 - (-5 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567917 minus 25831?\nAnswer: 2542086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j + 72*j - 30 - 7 + 87 + 24*j to the form w + q*j and give q.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 1, -10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*m + 4*k, 102 = -4*m - 4*k + k. Calculate the remainder when 35 is divided by (-10)\/4*m\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-2*m + 0*m + 0*m) + (-2*m + 2*m + 2*m)*(3 - 1 + 0) + 1 - 1 - 2*m + 2*m + 4*m - 2*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -350 - 6*s + 350 + 2*s**2. Let p(a) be the third derivative of a**5\/30 - 5*a**4\/24 + 9*a**2. Give 6*p(m) - 5*t(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 2)\/((-6)\/1244). Let r = 965 + k. What is r rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (9 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9667.\nAnswer: 7, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(39)*-2)\/(sqrt(432)\/sqrt(9)) + -4 + -4*(-1 + 0 + (sqrt(52) - sqrt(52)*2)\/sqrt(4) + sqrt(13)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.2, 0.2, 2, -14494, 130 in descending order.\nAnswer: 130, 2, 0.2, -0.2, -6, -14494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 3*u)*(2 + 0 - 1) + 0*u + 2*u - 4*u)*(-3 + 3 - 1) - 7*u + 3*u + 2*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/11 + 8*m**3\/11 + 10*m**2\/11.\nAnswer: -2*m**2*(m - 5)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t = 67 + 108 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 - 3. Let r = -0.2 - -0.1. Let o = 0.077 - -0.023. Which is the third smallest value? (a) o (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1 - 0)*5. Solve 0*h = -5*h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 713 + 102 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 - (-67 - -56) - -144?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*y - 21. Let i = y - -11. Let p = 7 + i. Solve 2*x + n = -0 - p, 0 = 4*x + n + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - b**2 - b. Let y be s(-1). Suppose 0 = -y*q + p + 210, -5*p - 50 = 2*q - 144. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(((-435610)\/20)\/(-127)).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*1 - 0)\/(1\/56*14). Sort b, 17, 5, -12 in descending order.\nAnswer: 17, 5, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115798327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333230 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/155 and -137\/6?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z*z**(-3\/7))\/(z**0)**21 assuming z is positive.\nAnswer: z**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 11 = -5*y + 4*y, 240*l + 7*y = 244*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 86*k - 409. Let m be h(6). Which is greater: m or 1863?\nAnswer: 1863","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -3, 13, 35?\n\"Answer: 3*o**2 + o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 497*-2\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.3, -4\/3, 1871, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -484638.3 to the nearest 100.\nAnswer: -484600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/5 and -99\/812?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9184 - -9209. What is the greatest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p - 10*p - 4*p**4)*(4*p + 0*p - 2*p) + (-6*p**2 + 2*p**2 + p**2)*(-p**3 - 12*p**3 + 18*p**3).\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 660962329 a multiple of 5099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (101 + 4)\/5 + 4. Let v = y - 20. Suppose 5 = d + 3*l, -d + 4 + 1 = -v*l. Solve 0 = -d*x + 6 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = 3*q. Suppose 2*j - 5*t + q = 3*j, -t = 0. Let r(c) = c + 8. Let x be r(0). Solve 0 = -j*z - 15, -v + z + x = -3*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*k**2 - 2033*k**2 + 1014*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 425 (base 8) to base 16\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.4, 0.148?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -53. Let m = -28 - l. Let i be m\/(2 - (-7)\/(-3)). Solve -i*n = -2*f - 3, 3*f + 5 = 5*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*l - 5. Suppose 5*y = 4*y + 8. What is the lowest common multiple of y and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + q + 4, 254 = -3*u + 3*q + 257. Which is the closest to 0? (a) 0.5 (b) u (c) -2.3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239129342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x**3 - x**2 - x + 2. Let g be h(1). Let t = g - -41. Let n(r) = 66*r - 1. Let p be n(1). What is the highest common divisor of t and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let o be (4 - 5) + -4 + 5. Let l = -18 - -32. Solve 2*b + 0*b + x - 5 = o, -n*x + l = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + 9*a + 27. Let f be o(-8). Let r = f - 116. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31572, 125977, 283202, 503247, 786112, 1131797, 1540302?\nAnswer: 2011627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = 6*r - 777. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 918 = -13*c. Suppose 2*v - m = 110, -5*v - m - 45 = -c. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 33, -206, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478981 + 57485 = 159*q. Which is smaller: q or 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 512*j - 1545. What is s(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Find the second derivative of -30*r**4 - 6*r + 10*r**f + 6*r**3 - 16*r**3 wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/21)\/(12\/90*-5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - t + (-1 + 2*t + 1)*(-3 + 3 - 1) + 3*t - 3*t - t + 7*t - 10*t - 4*t)*(-89*t + 10 + 49*t + 42*t).\nAnswer: -18*t**2 - 90*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*n - 854 = 157*n + 175*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x, -2*s + 3*x + 30 = x. Calculate the least common multiple of 11 and s.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 6 - 13*p**3 + 0 - p + 4*p**3 - p**3 - 2*p**3 + (-p**3 + p**3 - p**3)*(2 - 4 + 3) - 2*p**3 + p**3 + 0*p**3.\nAnswer: -14*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/(-20)*2\/6 and (0 - 319\/36) + (-301)\/(-731)*17.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 172*q**2\/7 - 48*q.\nAnswer: -2*q*(q + 2)*(q + 84)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00625662618 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 1053181908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2369708?\nAnswer: -947883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*g**3 - 158*g**3 + 100*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 + 259495?\nAnswer: 260396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/30 + 2*h**5\/3 + 9*h**4\/2 - 24*h**3 + 3*h**2 - 158. Factor u(p).\nAnswer: -4*(p - 12)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 23, 30, 29, 14, -21, -82, -175?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1+11696197\nAnswer: 11696196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:26 PM?\nAnswer: 626","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 times -138?\nAnswer: 4.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 29. Calculate the remainder when 29 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 + 137. What is the hundreds digit of (-2391)\/(-6) + -1 + (-6)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9034 rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/10*-2 - -6. Determine m, given that m - 19*m**3 - 3*m**5 + 15*m**4 - 8*m**c + 21*m**2 - 7*m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8)\/(1\/(-12)). Let k = t - 1. Let l = k - -12. What is the lowest common multiple of l and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -154. Let d = 15 - s. Solve 5*t - d*i = 8, t + t = 4*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k + 35*k - 1764 = 176*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w + 105*w - 55*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(195))\/sqrt(5)*3*-4)\/((sqrt(96)*-1)\/(sqrt(2)*-1*3)).\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*q - 74, -217879*m + 450 = 5*q - 217884*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3900 and 533000.\nAnswer: 1599000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 + 172 - 8*w - 643 + 241.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**2 - 5376. Let x(h) = -4313*h + 1. Determine q(x(a)).\nAnswer: 8626*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 102 = -58. Calculate the greatest common divisor of m and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/12 + n**5\/5 - n**4\/12 - 4*n**2. Factor a(q).\nAnswer: -2*q*(q - 1)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13294\/101 or 20?\nAnswer: -13294\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 5*k - 2*k + 2*k**3 - 6*k**2 - 9*k**2 - 37. Let i be t(7). What is the smallest value in -5\/2, 5, i?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -23*m**2 + 11*m - 3. Let z(f) = -12*f**2 + 5*f - 2. Let y(t) = 2*k(t) - 5*z(t). Let s be y(4). What is the greatest common divisor of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/6 - -3)*58 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (5 + 4 + sqrt(405)) - (sqrt(405) + sqrt(405)*3 + 3)) + 1*(sqrt(405) + sqrt(405)*-3*-4)*-6)**2.\nAnswer: 17712*sqrt(5) + 2723364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 964562101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*d = d + 29, -l + 5*d + 19 = 0. Solve -13 = -4*i - 4*w + 7, l*i = -w + 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**9*o*o\/(((o\/(o*o**3*o*o*o))\/o*o)\/o) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 11. Suppose -37 = -5*r + 2*d + d, l = 3*r - d - 19. Solve -2*q + r*a = -27, 0 = q + 6*a - 2*a + 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6386739003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4598692, 4598915, 4599138?\nAnswer: 4599361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165 and 247939494?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11 + 228\/(-77) - -3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 6, e: 10, k: 2}. What is prob of sequence ek?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x, -3*x - 3852195 = 2*c + 28687811. What is c rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (sqrt(8)*-2)\/sqrt(2))\/sqrt(2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -817 divided by -43?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10953 - -11679. Is n less than or equal to 726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, r: 7}. What is prob of picking 4 r?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a2 - 6370?\nAnswer: -5a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 288*i**2 + i - 2*i**3 + 4*i**3 - 3*i**3.\nAnswer: 2*i**3 - 288*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481494 divided by -2.\nAnswer: -240747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1827 and 15552642?\nAnswer: 46657926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 1042*k + 9285. What is g(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7479*f + 7480*f - 5*j = 35, 0 = f - j - 35 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + (-2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 2\/7 (c) -0.1 (d) -29\/2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 3765. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-242)\/11)\/(-1*1). Let v be 24 + 0 - -1 - (-1 - 2). Let k = a - v. Let q(m) = -m - 5. What is q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1436, 1\/5, -0.06, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 2. List the prime factors of q(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8355 is divided by 1192?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580 and 5141990.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*k + 18276 = -94*k. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 396029\/5 or 79205?\nAnswer: 396029\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4912806, -4912802, -4912798?\n\"Answer: 4*q - 4912810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 4*x**5\/5 + x**4\/6 - x**2\/2 + 16*x. What are the prime factors of p(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + (-9 - -1) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.2, 1\/17, -2\/3 in increasing order.\nAnswer: -5.2, -2\/3, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let h be i(2). Solve 5*r = h - 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2512*w**5\/5 - 1558*w - 3954. Differentiate a(k) with respect to k.\nAnswer: 10048*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - -3.04. Let g = 211\/1132 + 18\/283. Which is the second biggest value? (a) i (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 853 = 3*y + 188, 0 = -y - 2*l + 219. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 - (-19)\/(-4). Let q(y) = y**2 + 4*y - 1. Let j be q(u). Solve -j*d - 18 - 2 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-2798595.\nAnswer: 1959016.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6274.167l in millilitres?\nAnswer: 6274167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18424, -36842, -55258, -73672, -92084?\nAnswer: -110494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 10\/204293?\nAnswer: 10\/204293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b\/(b**(-4)\/b))**17 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -u - 10, -7 = -u + 3*r - 43 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2859090*f**2 + 3712249*f?\nAnswer: -5718180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8*w**3 + 22 - 10*w**3 - w**3.\nAnswer: -3*w**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/19)*((p\/p**19)\/p)\/p)**(4\/37) assuming p is positive.\nAnswer: p**(-1436\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2252 (base 9) to base 6.\nAnswer: -11415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11920400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17376)\/(-11946)*1*110*((-16)\/10)\/4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232421 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8312\/18 - 4\/(-18). Suppose 4*l + 51 = -3*p + 517, 3*l - f = -3*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/(1\/(-1)). Suppose -2*x - 5*i + 46 = 0, 3*x + z*x + i - 56 = 0. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 287362 + 286298 + 0*g)*(g - 4*g + 5*g) as c*g**2 + h*g + j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poqnaanqaqhqq. Give prob of picking 1 n, 1 q, 1 a, and 1 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 10 - -5 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*o + o. Let l = o - 1. Suppose -l*k + 56367 = 211367. Round k to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 10.2, -1, -0.4 in decreasing order.\nAnswer: 10.2, 8, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -97, -117, -145?\n\"Answer: -4*n**2 - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26305900 rounded to the nearest ten thousand?\nAnswer: 26310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 2*p - 7*p**2 - 6*p - 4 - p**2. Let a be y(-5). Let d = -33 + a. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -1\/48*w**8 + 0*w**3 + 0*w**4 - 8*w**2 + 0*w**7 + 0 + 0*w + 19\/60*w**5 + 0*w**6. What is the third derivative of k(i) wrt i?\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - 19) + 3*1. Suppose -8 = -w - 5*t, -11 = w - s*w + 4*t. Solve -f + 5*p + 10 = 0, -w*p = -6*p - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 23 (b) -4125 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1284\/(-535)*18\/(-27).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8*u)\/u)**(-37) assuming u is positive.\nAnswer: u**(-296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/633 less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 0.71. Let l = z + 1. Which is the nearest to 1\/4? (a) -1\/2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 290*l**2 - 4362*l + 440. Give n(15).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48983107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4256978999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8011, 7992, 7973?\n\"Answer: -19*o + 8030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(3*v - 4*v + 0*v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2. Let z(b) be the first derivative of 12*b**3 + 14. Give q(z(u)).\nAnswer: 3888*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -897 + 899. Suppose -5*v - 6 = -5*k + 4*k, 24 = 4*k - v. Suppose k*f + 2*u = s*f + 312, 0 = 2*f - 3*u - 148. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2250*0.2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85473515, -85473502, -85473475, -85473428, -85473355?\n\"Answer: h**3 + h**2 + 3*h - 85473520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/2 + k**3\/3 - 11*k**2\/2 - 2*k + 1222. Let d(h) = -h**3 - h**2 + h. Determine d(w) + v(w).\nAnswer: w**3 - 10*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 10. Let r be y(-6). Let t = -44 - r. Find the third derivative of 5*u**3 - 3*u**t - 2*u**3 + 2*u**2 wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 43*d - 96. Let k be o(-2). Let a(p) = -p**2 + 14*p + 23. What is a(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 6*j - 1. Give w(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 122*h**3 + h**2 - 26*h + 9. Let r(o) = 3*o - 1. Calculate -2*b(l) - 18*r(l).\nAnswer: -244*l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:12 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 28. Let g be b(0). Suppose n + 3*t + 11 = 0, -4*t - g = 4*n - 6*n. What is the third smallest value in n, 3\/4, 2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24036 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/75? (a) -2\/17 (b) -0.1 (c) 0.5 (d) 0 (e) -6 (f) -4\/69\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**6\/180 + n**4\/3 - 4*n. Let v(q) be the third derivative of j(q). Suppose 5*p - 4 = 1. What is v(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b + 25. What is u(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376536, 753060, 1129584, 1506108, 1882632, 2259156?\nAnswer: 2635680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-6))\/2)\/(5\/10)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -402 and -7954.\nAnswer: 3197508","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put 40, 2, 1, -1, 3 in decreasing order.\nAnswer: 40, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24403505359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/42305955 and 48\/11.\nAnswer: 465365505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10709.01 rounded to the nearest 10?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. Suppose -k = 4*l - 0 - 66, l = -1. Let s be 18\/63 + (-6)\/k. Sort y, 0, s.\nAnswer: 0, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - ((-124)\/36*-1)\/(3288\/1908) and 13\/10.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -636a0 + -2043?\nAnswer: -65713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 - 40958*z\/11 - 68714484\/11.\nAnswer: 2*(z - 22038)*(z + 1559)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29394, -235351, -794444, -1883259, -3678382?\nAnswer: -6356399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5350 (base 7) to base 10.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:59 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u*u**1*u)\/u)**(-37))**(-1)\/(u**(2\/11)*u*u*u*(u**(4\/3)\/u)\/u)**(-13\/2) assuming u is positive.\nAnswer: u**(13289\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5381682.\nAnswer: 2, 3, 896947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5)\/n*n)**40*n\/(n\/(n**(2\/19)\/n))*n**(-19))**9 assuming n is positive.\nAnswer: n**(6174\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, -4, -1, -32 in descending order.\nAnswer: 261, -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/3 + -8 + 3. List the prime factors of (-23)\/o - 2\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25833 is divided by 174?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, i: 2, v: 2, d: 1, p: 5, l: 6}. What is prob of sequence dinp?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/45 - 8\/9. Which is smaller: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u - 30887 = 699*u + 6199 + 2320 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Let i be 6*(-6)\/(-36) + (10 - 1). What is the greatest common divisor of i and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -40*f**5 - 388*f**4 + 5076*f**2 - 1512*f = 0.\nAnswer: -7, -6, 0, 3\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -45, -7, 31?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - j**2 - 3*j**2 - 4 + 2*j**2 + 4 + (5*j - 3*j - 4*j)*(2*j + 0*j + 0*j) + 8*j**2 - 40*j**2 - 24*j**2.\nAnswer: -57*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t + 257. What is the tens digit of a(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44143\/3 + -14694. Let v be (1 - -1) + 2 + 15. Is v less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 763387 - 792374 = -2902267. What is t rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 55.2316.\nAnswer: 47.2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 8*o**3 - 478*o + 478*o + (-o**2 + 0*o**2 + 3*o**2)*(-2 + 2 + 2*o) - 3*o**3 + 0*o**3 + 4*o**3.\nAnswer: -3*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2001.7 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 323214231?\nAnswer: 323214227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 15*b**2 - 7*b + 16. What is the hundreds digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 18*f**2 + 2. Suppose -10*y = -14*y + 72. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6626 - 62?\nAnswer: 6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f + 37. Let s be i(-5). Let l be (-2)\/18*6\/s. Which is the closest to -0.1? (a) 1 (b) -0.13 (c) 3\/4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 33 = -4*z + 2*u, -2*z = -3*u - 9. Suppose 20 = z*f - 5*f. Let d(l) = 0*l - 7*l + f*l + l. Let g(n) = 12*n**2. Determine g(d(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 = -3*i - i, h = 2*i - 3. Let c be (-1)\/(i\/((-20)\/2)). Solve 4 - c = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -0.1, 5\/3, -4\/813, -4\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:23 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -60*b - 2175. Give t(-22).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6301526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1\/p*p*p)**(-7\/9)\/((p\/(p\/((p*p\/p**(5\/2)*p)\/p*p))*p)\/(p\/p**(-2\/7))) assuming p is positive.\nAnswer: p**(-107\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 11. Let y(p) = -71*p**3 + 28*p + 21*p**2 + 70*p**3 - 19 + 5*p**2. Let w be y(27). Calculate o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*l = 16, 60 = -4*l + 68. Let n(x) = -x**3 + 8*x**2 - 6*x - 39. Let d(r) = -r**3 + 7*r**2 - 5*r - 39. Determine j*d(t) + 5*n(t).\nAnswer: t**3 - 2*t**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-22 + 19 - (0 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221010021 - -21101?\nAnswer: 20221101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -136, -0.38, 0.7, -0.4?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 9*x + 4. Let w be b(9). Suppose -t - s = -2*s - 6, 2*s + 20 = w*t. Suppose 4*y = -5*k - 3, t*y + 0 + 5 = -3*k. Which is bigger: k or 2\/67?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -889861 (base 11) to base 4.\nAnswer: -11122110312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*n**3 + 72*n**3 - 60*n**3 - 187*n**3 - 149*n**3 - 573*n wrt n?\nAnswer: -2424*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n + 0 - 25*n + 0 in the form g*n + a and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Suppose -13 = -3*a - 2*q + 13, 0 = -x*a - 4*q + 40. Calculate the lowest common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a - 0. Let c(w) = -9 - a*w**2 - 12*w + 14 + 10 + 3*w**2. Let l be c(11). Solve -15 = l*u - u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13696 rounded to the nearest one hundred?\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 3*y = -15, 5*y = -w - 19. Let x be (3327*(-2 + w))\/(-2). Let g = x - 1631. Find the common denominator of -91\/32 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = -4*s + 7, 24 = 5*s - 3*h. Solve 4*b = -5*u - 14, 5*u + 8 - 1 = s*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5287*i**2 + 32491*i**2 + 3786*i**2 + 16 + 2*i + 8*i. Suppose -3 - 5 = 2*q. Let k be w(q). Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Which is the third biggest value? (a) m (b) -2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -11, -26, 0 in decreasing order.\nAnswer: 8, 0, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 1, p: 2}. What is prob of sequence qp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44181 - -18368. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184317 or -184318?\nAnswer: -184318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2013 - 1136. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1218 and 79\/1914.\nAnswer: 13398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-2)\/(-20)). Suppose 0 = 4*c - 15 - 21. Let l = n + c. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4cab27 (base 13) to base 11\nAnswer: -1055294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 18*f**2 + 7*f + 75. Calculate v(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 25. Suppose n = 6*n + 20, -5*s = -2*n - d. Differentiate -s + 0 - 2*r + 4 wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118\/693107 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 18. Let a be c(11). Let v(x) = -x**3 + x**2 + 1. Let p(s) = 3*s**3 - 4*s**2 - 2*s - 5. What is a*v(k) + p(k)?\nAnswer: -k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 92 = 52. What is the lowest common multiple of 3 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -4*r + 4*x, r + 4*x = 6*r - 300. Let t be (-1)\/(-2)*r\/(-18). Which is the closest to 0.2? (a) -1\/6 (b) t (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*-2*9\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/21 + 3*96\/(-210). Let x = -5920 - -893923\/151. Let l = x + 589\/755. Which is the smallest value? (a) 2 (b) l (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 4*q + 2 - q**2 + 0. Let n be -3*3\/(-9)*-2. Let s be r(n). Solve -h - 2*h = s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 218*f**2 + 488*f - 2680. What is l(-75)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + -2*sqrt(56))\/sqrt(7).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mslslv. Give prob of picking 1 v, 2 l, and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 90?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -2.6?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 245595.9 - 64325?\nAnswer: 181270.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*n + 27*n - 50*n.\nAnswer: 142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:57 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3*g**4 - 2*a**3*g + 13*g**4 + 9*g wrt g?\nAnswer: 48*a**3*g**2 + 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604094961?\nAnswer: 3, 201364987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56204, -56221, -56238, -56255?\n\"Answer: -17*i - 56187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110000110 + -110?\nAnswer: -1111110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 85965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfcdhfc. What is prob of sequence cdcc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = 56. Calculate the greatest common divisor of u and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 68*i + 31. Let x(a) = -103*a - 49. Let m(y) = 8*j(y) + 5*x(y). Let r(k) = 2002*k + 208. Give 208*m(z) - 3*r(z).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1202112 (base 3) to base 16\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**5\/20 + o**4\/8 + 2*o**2. What is the second derivative of l(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40.4169 and 16085.9556.\nAnswer: 16045.5387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/25)\/n**(1\/16)*n\/n**(5\/2)*n\/n**18 assuming n is positive.\nAnswer: n**(-7409\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0*u - 1\/4*u**5 + 0 + 0*u**2 + 1\/2*u**4 + 3\/4*u**3 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1078119390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26534.\nAnswer: 2, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -51214476 at least as big as -51214476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 - 10*p + 9. Let v be s(1). Suppose -675 = -v*j - j. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1218)\/(-1827)*9\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313, 24, -3, 3, 0 in descending order.\nAnswer: 313, 24, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 516344.1 meters?\nAnswer: 516.3441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/24 - d**3 + 2*d**2 - 1. Let i(y) be the second derivative of x(y). Determine i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 19966*y\/5 + 6233316\/5.\nAnswer: -2*(y - 303)*(y + 10286)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217 - -218. Let y(d) = 13*d**3 - 3*d**2 - 2*d + 2. Let k be y(m). Sort -2, k, -5 in descending order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w - 2 = 0. Let f = -1216 - -1219. Solve -f*j - 3*x - 6 = 0, 3*j = w*j + 5*x + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (1*sqrt(130) - sqrt(130))*-4)\/sqrt(10).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*z**2 - 8*z**2 - 5*z**2)*(28*z + 16*z - 9*z) to the form w*z**2 + d + u*z**3 + q*z and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155.58 + 1.42. Let g = n - 156. Which is bigger: -107 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -28. Let q(p) = -4*p. Let f be q(1). Put w, 0, f in decreasing order.\nAnswer: 0, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15463, -15451, -15439, -15427?\n\"Answer: 12*f - 15475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 12, -3, -48 in decreasing order.\nAnswer: 12, 2, -3, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(-7*(-3)\/42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) -5 (c) -4\/3 (d) 2 (e) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.69 to zero dps.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1813*l**3 + 5*l - 4. Suppose r - 252 = -251. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 20. Let h = -2472 - -2481. Calculate the least common multiple of q and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in -11, -4, 0.4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 + 1 + -1. Is y less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (672\/(-18))\/8*((-79)\/2 + -1). Solve z*d = 182*d + 42 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 26 = 31*a. Let f be 2\/(-3)*18\/4. Sort f, 0, -4, a in decreasing order.\nAnswer: a, 0, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*i - 594*i - 6543 = 18288 + 8475 for i.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydnddsyyssdnn. Give prob of sequence snn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33250.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 31 + 10 + s - 3*s**3 - 4*s**2 + 19 - 2*s**4 to o*s**4 + y + u*s**3 + x*s**2 + c*s and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -7. Suppose -t*z + 2*w = -2*z - 215, -4*z = -4*w - 160. What is the highest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:10 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13. Let l(v) = 2*v**2 - 7*v. Let g be l(5). Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -3, -8, -35, -96, -203?\n\"Answer: -2*q**3 + 7*q**2 - 2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/66 + 7*q**3\/33 - 8*q**2\/11 - 59*q. Find g such that y(g) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5)**28*(p*p*p**(-6)*p*p)**(5\/4) assuming p is positive.\nAnswer: p**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 6*x + k + 17, 4*x = 3*k + 69. Suppose 5*m - g = 36, m - 3*g + 2*g = 8. Calculate the remainder when x is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -36. Suppose -2*s - 3*s + 135 = 0. What is the remainder when s is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let i(r) = -11*r - 86. Let s(g) = 4*b(g) + i(g). Let f be s(-12). Sort -6, 2\/7, f, -3 in descending order.\nAnswer: 2\/7, f, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*l**3\/15 - 58*l**2\/5 + 472*l\/15 - 24 = 0. What is l?\nAnswer: 10\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Suppose a*q + 33 = q. Suppose q + 15 = 4*n. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8954435 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173 and 235453.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 316074720 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*(0 + -21). Let a = c + -7. Suppose 6*m - a*m + 34 = 0. Calculate the remainder when m is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1490*f**2*n**4 - f**2*n + 79*f**2 + n wrt n.\nAnswer: -17880*f**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 755 and 2396219.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27947 - 600187 = -39*l. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3801.432 millennia to decades.\nAnswer: 380143.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*g + 556, g + 541 = 4*w - 0*g. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.651645 millennia?\nAnswer: 7819.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -247.8933, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05928 minus -183?\nAnswer: 182.94072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8380*y. Let d(m) = 25332*m + 2*m**2 - 12663*m - 12669*m - m**2. Calculate d(k(n)).\nAnswer: 70224400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - (sqrt(130) + 2*sqrt(130)*-5)))\/(sqrt(40)\/sqrt(4)*-2).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -5*o - 29*o + 247 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g - 7*g - 2*g**2 + 0*g**2 - g**3 + g + 9*g**2. Let o be u(3). Let h = 0 - 0.5. What is the third smallest value in -1, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037786 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: Calculate the least common multiple of (264\/(-154))\/((-8)\/1484) and 66.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + c - 0*c + 79, 0 = -3*c + 3. Let h = -28 - m. Let l = h - -21. Solve 3*z + 3*t - l = 0, 3*z - 3*t - 11 = -4*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(175) + -5 + 4)**2 + -4)*6.\nAnswer: -120*sqrt(7) + 4182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33142 divided by 1?\nAnswer: 33142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57967967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -184*a - 127. Calculate x(4).\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1799272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 91 = u, -3*h + 117 = 4*u + 44. Solve -5*f - 4*d = -26, d = -15*f + h*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034927 greater than or equal to 7034921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*n**2 + 417*g**2*n - g**2 + g*n**2 - g*n - 271*g + 247962*n**2 - 4*n - 2 wrt n.\nAnswer: -4*g**2 + 2*g + 495924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1111 + 2*t**2 + 629 - 6*t**2 - 1033 as c*t + m + z*t**2 and give m.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 126558495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 347\/131 or 14.8?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216938*a*l*x**3 + 4093*a*l - a*x - 92*l*x**3 + 10*l*x**2 + 169*x**2 wrt x.\nAnswer: 1301628*a*l - 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.912 * 2.\nAnswer: -1.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670632 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/8 + (-22493)\/542?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - 4)*(-18)\/21. Suppose 72*z - 78*z + j = 0. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-21 + -11 + (2 - -6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4845 and 1275.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975215 to the power of 1\/2, to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-52)*20\/15. Let x = -3.17 + 0.17. What is the nearest to 1\/3 in w, x, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20824, 2, 5, -5, -95 in descending order.\nAnswer: 20824, 5, 2, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-320)\/48*(0 + 15). Let r be (-20)\/u + (-18)\/(-10). Let m = 8 - 2. Solve -4 = -p - r*z, -p = 2*p - 3*z + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462 (base 15) to base 16.\nAnswer: -3e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 9*p + 4. Let a be h(-6). Suppose a = 2*u + 3*w, -5*u + 2*w + 13 = -w. Suppose -2*r - r = -2*l + 26, l - u*r = 6. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (28 + -26 + -2 + 10) - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*40\/640*45\/(-9)*-18?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + g = -50, -g - 136 = -3*h + 24. Let q be 2\/(-5) - 583\/h. Let o(u) = u**2 + 2*u + 2. Let v(f) = 5*f**2 + 11*f + 11. Give q*o(b) + 2*v(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from arrra?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 7:40 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23386.81 years to centuries.\nAnswer: 233.8681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1836 - -829. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 26*l - 887. Let w be i(20). Solve 30*t + 6 = w*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34560 + 34560.53295. Round v to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 36.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335045314*j**4 - 51*j - 152500 wrt j.\nAnswer: -4020543768*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 127.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -24*r**3 + r + 1. Let u(y) = y**2 + 9*y - 11. Let z be u(-10). Let v be p(z). Suppose v = 7*m - 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 + 1867 = 8*b. Suppose -109 = -2*i - 3*s, 13 = -3*i + 2*s + b. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 2*s**2 + 5 + 2*s + s**2. Let f(r) be the second derivative of -r**4\/3 + 5*r**3\/6 - 3*r**2 + 23*r. Determine -4*f(y) - 5*g(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((56 + -3)*1)\/(-131 - (-112 - 18)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*f - 392 = 0, -3*o - f = 8*f - 1212. Calculate the smallest common multiple of o and 597.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:12 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -667*o**6\/60 - 19*o**4\/8 + o**3\/2 + 1103*o**2. What is the second derivative of x(w) wrt w?\nAnswer: -8004*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -3*j + 5*j. Let r = j + -90. Find the common denominator of 7\/18 and (-74)\/r*((-595)\/(-77) - 8).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83a (base 13) to base 5.\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(2))*3)**2 + -2.\nAnswer: 36*sqrt(2) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 12*f = -3311 + 114. Solve 8*r + 147 = f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmk when three letters picked without replacement from {x: 2, k: 1, h: 7, t: 6, m: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + z + 14 = 0, 16 = 3*s + 2*s - 2*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9646 + 9742 - 21*c + 25*c)*(0 + 0 - c).\nAnswer: -4*c**2 - 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -1\/7, 5, 2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -449\/4. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/44527518 and -125\/144102.\nAnswer: 44527518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u + 6. Let t = -7 - -4. What is the units digit of x(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 4*v - 12 = 0, -8 = -4*v. Let a = 2639 + -2626. Find the second derivative of -s - a*s**5 - y*s + s - 22*s**5 wrt s.\nAnswer: -700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.7684l to millilitres.\nAnswer: 518768.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152095 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1675907744, -1675907743, -1675907742, -1675907741?\n\"Answer: s - 1675907745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76*f**3 - 6*f - 24468.\nAnswer: -228*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 551, 4170, 14197, 33902, 66555?\n\"Answer: 545*c**3 - 66*c**2 + 2*c + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 359895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 + -637\/5. Let m = -24.8 + 24.5. What is the third smallest value in i, m, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:14 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/20 + j**3\/6 - 58*j**2 + j. Let b be i(-1). Solve -5 = -b*v + 5*o - 4, -4*o - 5 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:49 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.6 - -35.428. Let o = 0.172 + q. Let l = 0.6 - 2.6. What is the nearest to 2 in l, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16403 - -1?\nAnswer: 16404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 30*d**2 + 2*d + 106. What is the remainder when o(17) is divided by 103?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/502376 and 46\/6993.\nAnswer: 501873624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 11 - 7) + -13 + 58.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 10*o - 8. Suppose 150*g = 154*g - 8. Suppose -4*t - g*s + 20 = 0, -2*s + 15 = -0*t + 3*t. Is z(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*1*17\/(-85).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 - 1 = -3*f, 5*f - 5 = a. Let x be a + -2*1 + 8. What is the remainder when (-207)\/x*(-2)\/3 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25674552 divided by 8558184.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -969, -2223, -3979, -6237?\nAnswer: -8997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - -17) + (3 - 1). What is the highest common divisor of v and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23190902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 7*d**2 - 43*d - 122. What is z(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6791*s - 6766. Suppose -f - 5*u = -75, -2*f = u - 6*u - 195. What is the remainder when f is divided by p(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52960000 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 2*k**2 - 4*k - 2. Let b be n(-2). Solve b*t - 12 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-8))\/(-2 - 4). Let d be ((-8)\/18)\/(30\/9). What is the biggest value in d, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36914785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -901, 926 in decreasing order.\nAnswer: 926, 2, -901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9836, 79, 3 in decreasing order.\nAnswer: 79, 3, -9836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 7*x - 6*x**2 + 15*x**3 - 5*x - 50*x**3 + 4*x**2 + 9*x.\nAnswer: -35*x**3 - 2*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 20*b - 7*b)*(4*b**3 - 6*b**3 + 4*b**3) - 3*b**4 + 2*b**4 + 0*b**4.\nAnswer: 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024 = 44*g - 672 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4 + 2. Suppose -p*a - 172 = -7*a. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -3185.\nAnswer: -15925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5022, -2.\nAnswer: -2, 3, 5022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2151, -2149, -2153, -2169, -2203, -2261, -2349, -2473?\n\"Answer: -i**3 + 3*i**2 - 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + 5*c, 4*c - 5 = -z + 21. Let g = 73 + -39. Let i = -5 + g. Calculate the remainder when i is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*i, 4*x + i = -i. Differentiate -12*p - 24 - 4*p + 3*p + x*p wrt p.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5525921432.\nAnswer: 2, 22003, 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -189 (b) 2\/5 (c) -4\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-2618) + (-8)\/(-22).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -1.33496?\nAnswer: 1.33496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 156. Let i be (s\/21)\/(27\/(-126))*33. What is the greatest common divisor of i and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3367139785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:44 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 454738, 909538, 1364336, 1819132, 2273926?\n\"Answer: -q**2 + 454803*q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/542 and -119\/6?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 7*x - 12 = 0. What is the remainder when -1*(-4)\/x*-21 is divided by (-1)\/((-10)\/4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let c be y + (2 + -3 - -16). Suppose -4*i + c = -25. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871004740.\nAnswer: 2, 5, 43550237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -6. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196 + -179. Suppose -m*b = -9*b - 16. Solve -4*y + i = 20, -3*y + 4*y = b*i - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. What is the common denominator of r\/6*(-1284)\/20 and 3 - (-3 + 153\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:20 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -ca97?\nAnswer: -ca96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27973161 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18*j. Let a(r) = -6404 + 5*r - 5*r + 6*r + 3202 + 3195. Give o(a(i)).\nAnswer: 108*i - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205*l - 273 wrt l?\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 23*o + 7)*(5 - 5 + 3*o + (-3 + 0 + 1)*(-2*o + 1 - 1)).\nAnswer: -161*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*q - 8*q**2 - 1088*q - 1080*q - 1084*q + 3580*q.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*((-5*p + 5*p + 2*p)*(-2 + 0 + 1) + 0*p + 0*p + p + 2*p - 4*p + 6*p)*(0*p - 5*p + 3*p).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 4:47 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 84. Let s = n - 178\/9. Factor -2\/9 + 0*y + s*y**2.\nAnswer: 2*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1134 = 2*p - 260. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5065.5646 to zero dps.\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5321 - 6.43197. Let f = -2.9 - r. What is f rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -3.8, -0.4 in decreasing order.\nAnswer: -0.19, -0.4, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 818302483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - c - 11. Let u be l(-4). Find the third derivative of g**2 - 7*g + u*g - 5*g**4 - 2*g wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 41*h**3 - 11*h**2 - 6*h. Let m(a) = -8*a**3 + 2*a**2 + a. Determine -2*b(x) - 11*m(x).\nAnswer: 6*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7866819 - -0.7871. Round a to five decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -48651.\nAnswer: 38920.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 71.61003nm?\nAnswer: 0.07161003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44782 + 1309511\nAnswer: 1264729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 99, -62, -0.5, -0.3 in descending order.\nAnswer: 99, -0.3, -0.5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*u + 2*u**3 - 3*u**3 + 114*u - 2*u**2)*(1 - u - 1)*(-4 + 2 + 0).\nAnswer: -2*u**4 - 4*u**3 + 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 + 4*x**2 + 1821. Let k(u) = -3*u**3 - 5*u**2 - 1827. What is 7*d(f) + 6*k(f)?\nAnswer: 3*f**3 - 2*f**2 + 1785","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-1) + 3)\/(-1). Factor 0*d + 8*d - 11*d + 6*d - c*d**2.\nAnswer: -3*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -39937638\nAnswer: -199688190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -11*c - 2 + 9. Put c, -5, -278 in decreasing order.\nAnswer: c, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*u = -646*u + 1162*u - 148 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -1395 + 375. What is the least common multiple of 84 and f?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 5*q**2 + 5*q + 5. Let w be f(-4). Solve 0 = 4*k - 11 - w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397045.\nAnswer: 5, 11, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 39 = -27. Is -40 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Suppose 0*k = -c*k. Suppose -3*q = 12, -3*l + k - 2 = 5*q. Let z(y) = y**2 - 7*y + 2. Determine z(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)\/q*q\/(q\/q**(1\/3))*(q**(-3)*q*q)**(-26) assuming q is positive.\nAnswer: q**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 41084*b**2\/7 + 210657826*b\/7 - 3381050912\/7.\nAnswer: 2*(b - 16)*(b + 10279)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 649*t - 1300. Determine o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 66 = -5*w. Calculate the least common multiple of ((-1)\/(-2))\/(2\/20) and (0 + 2)*18\/w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 166*b - 1. Let t be w(-2). Let r = 562 + t. Let s = r + 1020. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 = -17*l - 525 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21181931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1893 + 1892.9. What is the closest to k in -2\/13, 2\/7, -2, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 817140.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 457 + -386. Let j = h - 69. Let o(i) = -2*i - 4. Calculate o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m - 123 + 208. Let y(k) = -56*k - 6. Let t(w) = 19*w + 2. What is m*y(p) + 16*t(p)?\nAnswer: 24*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1743 + 1745. Solve -3*s = z - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*x + 912, -20*x + 680 = 3*h - 18*x. Let m be ((-2)\/2)\/(-1) + 98. Suppose 5*g - 61 = m. What is the highest common divisor of g and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -234 - 5?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*n**2 + 466*n**2 + 468*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -41. Suppose -w*y + 64 = 24. Solve -y*r = -7*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 - -4.4. Put 5, 0.2, h in ascending order.\nAnswer: 0.2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3*x**2 - 30887*t**3 - 8*t**2*x - 28065*t*x**2 + 4*t*x - 137*x**2 wrt x?\nAnswer: -6*t**3 - 56130*t - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-51)\/15 + 3)*-10)\/(-6). Which is the closest to h? (a) -0.03 (b) 1\/6 (c) -4 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**(2\/49)\/(((o*o**(7\/6)*o)\/o*o)\/o**(-2\/17)) assuming o is positive.\nAnswer: o**(-16279\/4998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/((-61)\/61).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12080 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540949.\nAnswer: 19, 71, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.5 and 4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 + 0.295401.\nAnswer: 381.295401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -12001010110210?\nAnswer: -12001010110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 10 - 8. Suppose -m*w - 10 = 4*a, a + 3 - 2 = -w. Let z(f) = -2*f**2 + 1. Let x(k) = -1. What is w*x(c) - z(c)?\nAnswer: 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-61 - -41) + 21 + 0 + 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-888)\/224 - (195\/(-15))\/(-364).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 4*a + 9. Let z = -1016 + 1020. Let q(j) = 7*j**2 + 9*j + 19. Calculate z*q(f) - 9*l(f).\nAnswer: f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -0.051827954.\nAnswer: 0.748172046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133\/3)\/((-629299)\/(-1391082)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11\/2)*x\/(x\/x**(-21)))**2 assuming x is positive.\nAnswer: x**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from wwzeziizz?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9858 and 2790?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60, 3, 67, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 423.5288584 to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(7\/6))\/k)\/k**(-11\/3))\/((k*k**(-10))\/(k*(k**(-5\/4)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**7\/315 - 19*f**5\/30 - 36*f**2. Let z(c) be the third derivative of o(c). Let x(r) = 3*r. Determine x(z(j)).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.26 and 8.\nAnswer: -18.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8 + (6 - (-75)\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**5 - 34*k**4 + 58*k**3 - 40*k**2 + 7*k + 2 = 0. Calculate k.\nAnswer: -1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*k**2 + 9 + 0 - 3 + 463*k**2.\nAnswer: 2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -t + 1, -4*t + 3*p + 7 - 3 = 0. Let g be (t - 0)*-1 + 3. Let c be 10\/6 + g\/6. Solve f = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779364921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/((-9)\/(-18) + 3\/6). Does 3 divide d\/(1 + (-4)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 935, 0, 7, 30 in decreasing order.\nAnswer: 935, 30, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k**3 - k. Determine d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -27) + -12 + (2 - 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-14)\/(-4))\/(69\/(-184)). Let f be (2 - (-341)\/g) + 1\/4. Let m = f - -89. Solve -a + m*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0196? (a) -0.5 (b) 1.4 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 12. Solve -8 = 4*j - 5*j + 3*a, 32 = -k*j - 4*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from qqrrqr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (927\/(-618))\/(27*6\/(-6)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - i = 12, 0 = -3*i - i. Let t(q) = -q**3 - q**2 - 2*q + 9. Let z be t(g). Let h be 9\/(-27) + z\/(-21) - -3. Does 0 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 860183.2977 + -860146. Let m = -0.2277 + f. Let s = m - 37. Which is the second smallest value? (a) 1\/10 (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 20*y**2 + 64*y - 15. Let f be b(-16). Let r(h) = h**2 + 15*h - 4. Give r(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 9:27 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 7*z**2 - 5*z - 7. Let p be w(6). What is the units digit of 3*7\/3 - p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 5216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 18 + p**2 - 20 + p**2)*(1 + 1 + 0).\nAnswer: 4*p**2 + 6*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.25*43.\nAnswer: 96.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21638 and 1200413?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5 and -7696?\nAnswer: 19240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -15, -113, -301, -609, -1067, -1705, -2553?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3692?\nAnswer: 7384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177\/4 + 44. What is the nearest to -1\/2 in -9, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y + 6. Let p be s(-3). Put -1, p, -4, 3 in ascending order.\nAnswer: -4, -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 12*g + 10. Let t be y(12). Let f = 9 - t. Which is the third biggest value? (a) 1 (b) f (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-96)*24*4\/(16\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**3*v**4 - t**3*v**2 + 2*t**2*v + 9*t*v**2 + 1264*t*v - 26946*v**5 - v wrt v.\nAnswer: -144*t**3*v - 1616760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -8ce?\nAnswer: 8dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -91.1. Which is the second biggest value? (a) -2\/23 (b) 4 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4645*r + 4622*r - 253 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61360)\/(-767)*(-2)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6483*n**3 - 3*n**2 + 7*n + 10. Let a be w(-3). Let d be 1 + a + (1 - 3) + -2. What is d rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + s. Let y = 23 + -21. Suppose 2*i - 3 - 3 = 2*f, 4*f + 6 = -y*i. Let h(z) = -2*z**3 + z**2 + z. Calculate i*c(p) - h(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01585602167 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 25*j - 73. Let w be q(21). Suppose 8*l + w = -13. Sort 5, 4, -5, l in increasing order.\nAnswer: -5, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1829, -4858, -7933, -11048, -14197, -17374, -20573?\nAnswer: -23788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -266*a**2. Let c(w) = 15*w**2. What is b(c(d))?\nAnswer: -59850*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -721, -4\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = j + 9 - 20, -5*j + 21 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(1 + -3). Suppose 64 = i*c + 4. Calculate the highest common factor of 220 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**3 + 196*p**2 - 209*p - 53. Give y(-29).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 611 and 8.\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**3 - 3*p**3 + 0*p**3)*(1118*p + 9 + 1121*p - 2228*p).\nAnswer: -110*p**4 - 90*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2296 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*h + 7457 = 2671, -2*h - 4792 = -4*l. Let w = l + -4825\/4. What is the common denominator of w and 59\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 - g - 1. Let m be b(-1). What are the prime factors of (6\/m)\/(6\/75)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056870?\nAnswer: 2, 5, 71, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 0*o)*(-6 + 1 + 3) + 5*o - 5*o + 4*o + (0*o + 0*o + o)*(1 - 4 + 0).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-4)*1\/(-2) - 3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in 0, -0.1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13502.1 + -13494. Let s = 65\/2 + -33. Which is the closest to 0.1? (a) -1\/6 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 3\/(-3) - -4*7\/(-56). Sort -1, -2.3, 0.3, w in increasing order.\nAnswer: -2.3, -1, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 + (100 - -29) - -175.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 198*r**2 + 197*r - 2. Give o(-197).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.55 + 0.35. Let w = n - -3.6. Let y(l) = 2*l + 2. Let o be y(1). Which is the second smallest value? (a) 0.6 (b) 2 (c) w (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -235*o. Let j(s) = s**2. Give y(j(w)).\nAnswer: -235*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = h + 2, 2 = 4*j + h + 4*h. Let g be -2*((-1)\/j + -1). Solve 3*y - g = 2*a - 5, 2*y = 2*a - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3752401 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose 0 = d*z, 0 = -2*n - 0*z - 2*z + 2. Let i be (30\/9 - -2)\/6. Is n bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3841*h*t**3*v**3 - h*t*v**3 + 28*h*t*v + 2*t**3*v**3 + 28*t**2 - 3*t wrt t.\nAnswer: 23046*h*v**3 + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8840 (base 9) in base 8?\nAnswer: -14564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22079 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 0.3, 3, 4.3 in increasing order.\nAnswer: 0.3, 5\/6, 3, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*w + 22 - 522, -5*z + 2*w = 1258. What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 886488 * 0.04\nAnswer: 35459.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31430 (base 6) in base 11?\nAnswer: -3229","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 31, 28, 25, 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q - 2. Let a be s(-5). Let o = -17 - a. What is the units digit of (-2 - -4)\/((-5)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 1, l: 1, c: 2, d: 4}. What is prob of picking 1 d and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-143)\/(-33))\/13)\/(3\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2\/7, 238.\nAnswer: 2\/7, 3\/8, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (13 - 12 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 596 and 57364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 406*p**3 - p**2 + 7. Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112684.\nAnswer: 2, 11, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.3+375048433\nAnswer: 375048435.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -476, -1908, -4288, -7610, -11868, -17056?\n\"Answer: j**3 - 480*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = s + 5, -5*v - 4*s = 13 + 7. Suppose -3*g - 2*b = 172, v*b + 5*b + 10 = 0. Let x = 101 + g. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + 2.3. Let f = d - 4.3. Let m = -2091 + 18818\/9. What is the third smallest value in -4, 4, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -150, -3 in decreasing order.\nAnswer: 9, 5, -3, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a - 118*a - 2380 = -46*a - 128*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and 0.5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6034722 - 0.009?\nAnswer: -6034722.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5490720.\nAnswer: 2, 3, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 98339 + 18?\nAnswer: 98356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21022 (base 3) in base 7?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000028328 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*x + 16, -x = 4*x + 10. Let p(b) = 4*b**2 - 2*b. Let w be p(v). What is the second derivative of -47*f - 25*f**5 + w*f - 5*f**3 + 5*f**3 wrt f?\nAnswer: -500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 2*m + 7. Let f be (-2 + -1 - (-72)\/40)*5. Determine s(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51044 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 13*y. Let k(g) = -g. Suppose -68*c + 72*c + 2*u = 20, 2*u = -3*c + 14. Determine c*s(d) - 78*k(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000269857277 to seven dps.\nAnswer: -0.0002699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 1. Let i = -19 - -33. Let x(p) = -p + 13. Let t be x(i). Let l(v) = v - 1. Give t*l(r) + z(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 2. Suppose 5*i - c*l + 2*l = -4, 4*i + 12 = l. Let b(q) = q**3 + 4*q**2 - q + 3. Give b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40633 (base 9) to base 6\nAnswer: -323520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708 and 6852732?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1, 9, -12, -1\/5.\nAnswer: -12, -0.6, -1\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(4 + (sqrt(405) - (sqrt(405)*-2)**2*4))*1.\nAnswer: -27*sqrt(5) + 19433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:02 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 105c0?\nAnswer: 105c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.06063.\nAnswer: -0.24252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-4*r + 3*r + 0*r) + 0*r - r - 10*r to z*r + m and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7670376 hours?\nAnswer: 2761335360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*n + l, -6*n = 4716*l - 4731*l + 102 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 308 = -19*t. What is the remainder when t is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991 (base 13) in base 11?\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, w: 8, p: 3}. What is prob of sequence pl?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -52, -65, -78?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 81 = 14*d. Sort 5, d, 51, -2.\nAnswer: -2, d, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 4. Let q(d) = -4*d + 5. Let h(u) = 3*o(u) - 2*q(u). Suppose 103 = 99*l - 492 + 1. Determine h(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 13. What is the units digit of j(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x. Let c be d(-3). Find the third derivative of 3*l**2 - 62*l**5 - c*l**2 - 16*l**2 + 73*l**5 wrt l.\nAnswer: 660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -4.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/195176 and -85\/14?\nAnswer: 1366232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 4859*a**3\/3 + 590. Let s(b) = 2*b. Calculate s(x(d)).\nAnswer: 9718*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 3*s - 6, -5*s + 37 = 4*o. Suppose -u + 0*d = -d + 3, 3*d = -o*u + 9. Solve -i = -u*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-15)*-103 - (-32)\/(-80). List the prime factors of -2 - -1240 - (16 + p).\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*b**5 - 2121*b**3 - 3470580*b**2 wrt b?\nAnswer: 6360*b**2 - 12726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23862.6 months?\nAnswer: 198.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*f + 37*f - 8*f)*(3*f - 6*f + f + (-1 + 0 + 3)*(2*f - 2*f + f) + 2*f + 5*f - 5*f + f + 2*f - 4*f) as g + o*f**2 + d*f and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 919 - 5513\/6. Which is the nearest to -0.1? (a) g (b) 3 (c) -1 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -32*q**7\/105 + q**6\/30 + q**5\/20 - 49*q**3\/3 - 10*q**2 - 13*q. Find the third derivative of r(g) wrt g.\nAnswer: -1536*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 2*u + 34*u**4 - 23*u**4 + u**3 - 42*u**4 to c*u**4 + r + a*u**2 + o*u + l*u**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2672 - 2673. Let i = 92 - 551\/6. Is w equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 4. Differentiate 0*t**4 + 4 + 4*t**b - t**4 wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 12. Let q = k - -17. Let s = -19.8 + q. Round s to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2805094720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7636 - -4458. Let u be v\/12664 + 3\/12. Let z = u - -81541\/17413. Calculate the common denominator of 47\/2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6133 - -6123. Which is the fourth smallest value? (a) z (b) -0.4 (c) 2 (d) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l + 14. Let b be c(2). Let k = -3 - b. What is the second derivative of -11*r**2 - 15*r**k - 7*r**2 + 18*r**2 - 7*r wrt r?\nAnswer: -90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1099 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/13, 2\/5, -12 in ascending order.\nAnswer: -12, -2\/13, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 163.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/20*5*4. Let v = 46 - m. Which is greater: v or -8\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 46*j + 14, -v = 2*j - 15 - 8 + 6 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*t**2 + s*t - 11578445*s + 15454*t with respect to t.\nAnswer: -2*s*t + s + 15454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -142.467 less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 626 - -2912. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27 - 0) + 1 + -3. Let u = -16 - j. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 87731360538.72.\nAnswer: 87731360538.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34594602 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m**2. Let l(f) = -18*f**2 - 3*f + 6. Let h(n) = -19*n**2 - 2*n + 4. Let y(u) = -3*h(u) + 2*l(u). Determine y(p(t)).\nAnswer: 4116*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**3 + 19*t - 47*t + 28*t.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b**2 - 4*b + 1. Let p(g) = -g + 9. Let k be p(7). Let u be j(k). What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/18 - 4\/(-18). Let b(k) = -k. Let q be b(i). Let o be (2 - 2) + 2 + q. Solve -4*l - l = -o*y + 13, 5*l + 3 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 3 - 2 - (-5 + 2 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 1:44 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/3 in 0, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 6*q**2 - q**2 + (2*q**2 + 6*q**2 - 3*q**2)*(5 - 4 + 1) - q**2 - 1 + 1.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215.775 + -216. Let u = g - 0.175. What is the second smallest value in -0.11, 1, -4\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 793\/7 + (-2)\/7. Let q = -32 + y. What is the remainder when q is divided by 60\/(-270)*1 + ((-191)\/(-9))\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 6*g + 4. Let b(n) = -n + 3. Let r be b(-3). Suppose 2*f = r, 3*o + 4*f = f - 9. Let l be c(o). What is the greatest common factor of 16 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 16*x**2 - 18*x.\nAnswer: 2*x*(x - 1)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 divided by -20?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (155\/17 - (-268)\/(-2278)) + -24109009. Round n to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*j - 532, 3*i - 3*j - 522 - 9 = 0. What are the prime factors of i?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*y + 36*y + 50*y)*(-2 - 1 + 1 + 2 - 1 + 3 + (-1 + 3 - 1)*(5 - 1 - 3)).\nAnswer: 156*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 180, 1.93029?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91 + -6?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -26. Let g be (-1)\/4 - r\/(-4). Which is the smallest value? (a) 3\/2 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 466\/3 + -159. Let r = -23\/6 - v. What is the biggest value in 3, 1\/4, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 5065 + 11 = 159*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.07.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27) - 1400\/(-9000)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 25*z + 0 + 12*z + 239*z + 3 - 46*z.\nAnswer: 2*z**2 + 230*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 39, -24, -195, -510?\n\"Answer: -6*v**3 + 51*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-3))\/((-2)\/9). Let p(n) = -n - 12*n**2 - 41 + 32 - 2*n**3 + n**3. What is the units digit of p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - 5*k - 3. Determine m(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppg. What is prob of sequence pg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348546189.\nAnswer: 3, 17, 1783, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 627473123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.4 (b) -0.1 (c) -84 (d) 5 (e) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunnmunnununnnnywn. Give prob of sequence wm.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 10, f: 7}. Give prob of picking 1 u and 1 s.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 104*u**3\/7 + 57644*u**2\/7 + 130328*u\/7 + 4416 = 0.\nAnswer: -552, -2, -7\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-15)*(9 - 4). Let a be (-6 + 5)*(-1 + s). Solve 9 = -4*d - 8*m + 3*m, 0 = -3*m - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 0. Let x be 2\/3*420\/(-8). Let m(c) = -c**3 - 34*c**2 + 37*c + 80. Let o be m(x). Solve o*n = r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 15777217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15*w + 33*w + 15*w - 39*w as g + m*w and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576 - 23*r**2 + 2*r**2 + 571.\nAnswer: -21*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, g: 5, j: 1, w: 2, x: 1}. Give prob of sequence xwjw.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4622 - 2806. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2426 - 1450. What are the prime factors of w?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 76 + 42 + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/((((((f*(f*f*f*f*(f**(1\/10)*f)\/f)\/f)\/f)\/f)\/f)\/f)\/f))\/f)\/f)\/(f*(f**(1\/15)*f*f*f)\/f)*(f\/f**(-14))\/f**(2\/15) assuming f is positive.\nAnswer: f**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -2*d**3\/3 + 4*d**2 + 5*d - 4. Let b(q) = -q + 3. Give -10*b(c) + 3*o(c).\nAnswer: -2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/25)\/(-1*(-6 + (-3604)\/(-600))). Suppose 5*u - 5*l - 4 = 1, 17 = 2*u + 3*l. Suppose x = 5*p - n - 13, 2*n + 56 = u*p. Is p 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 469232?\nAnswer: 2, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 9*c - 5*c - 4*l = 4 + 5, -138*l = 3*c + 153 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -398253161 less than -27759.1?\nAnswer: 398225401.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + m = 35856, 49*m - 107573 = -3*w + 47*m. List the prime factors of w.\nAnswer: 7, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21921642991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 - 14*y - 53. What is z(11)?\nAnswer: -1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sks when three letters picked without replacement from wswswesksswksswweeww.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*m. Suppose 0*o + o + 1 = m, -21 = 3*n - 3*o. Sort -2, n, 3.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 4*n + 8. Let a be h(7). Let m = a + -21. Calculate the least common multiple of 6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 1, s: 1, w: 2, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9284.876m to nanometers.\nAnswer: 9284876000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108\/5? (a) -1 (b) 3\/2 (c) 2 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3612527 divided by 190133\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143524004.\nAnswer: 2, 2851, 275651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2040)\/(-184) + (-9 - (11 - (20 + -11)))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 9, p: 2, z: 6}. What is prob of picking 2 p and 1 a?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -8 - -33*(-21)\/231?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33021100111 (base 4) to base 16.\nAnswer: 3c9415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.2 + -0.8. Let k = i + 7. Which is smaller: k or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 5*o**3\/3 - 862*o. Determine k(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -1\/3*y**3 + 2*y - 3\/2*y**2 + 0. Calculate the remainder when 24 is divided by w(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, -37, 55 in decreasing order.\nAnswer: 55, -2, -19, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r + 18. Let h be z(0). Let v = h + -6. Suppose -c + v = -0*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1.3, -5\/11, -51, -5 in ascending order.\nAnswer: -51, -5, -1.3, -5\/11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85455 divided by 3.\nAnswer: -28485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.923059 litres in millilitres?\nAnswer: 5923.059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/11)\/s*(s\/(((s*s**(-8))\/s*s)\/s))\/s)**(-14)\/(s**(-8)\/s**(-9\/2)*(s\/s**(-10\/7))\/s**(-6)) assuming s is positive.\nAnswer: s**(-18595\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, h: 5, e: 2, f: 3}. Give prob of sequence hee.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 200. What is the highest common divisor of 56 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 2*i + 4*i - 3*i - 4 + 4 + (-2*i + 1 - 1)*(1 + 1 - 3))*(-14 - 15 - 7*i**2 + 30) to the form n*i**2 + k + m*i + b*i**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 5*y**2 + 6*y - 5. Let b(v) = -v + 14. Let i be b(8). Let o be j(i). Let h(t) = -t**3 + 2*t**2 + 6*t + 4. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 241. Let s = 455 - r. List the prime factors of s.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -3*o**7\/980 + o**6\/140 - o**5\/210 + o**3\/6 - 2*o**2. Let b(i) be the first derivative of n(i). Determine r so that b(r) = 0.\nAnswer: 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 1, 3, -5, -2 in increasing order.\nAnswer: -5, -2, 1, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 8. Let l(b) = b - 6. Let z(g) = -3*d(g) - 4*l(g). Let n(f) = -f**2 + 7*f. Calculate -2*n(c) + 7*z(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.01 - 0.01. Let o = 0 + -0.04. Let r = o + 0.34. Sort r, l, -4.\nAnswer: -4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 122323?\nAnswer: 122332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10 and 29\/318560.\nAnswer: 318560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, g: 2, e: 1, m: 4}. Give prob of sequence zg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**4 + 58*n**3 - 59*n**2 - 1031*n**2 + n**4 - 4889*n**2 wrt n?\nAnswer: 192*n + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004434138371 to 7 decimal places.\nAnswer: -0.0004434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a1 - 579?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.21 - 0.79. What is the closest to 0 in f, -2\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/34 + -253\/255. Find the common denominator of (-222)\/(-40) + (-2)\/2 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280\/64 + (6\/(-10) - 48\/(-30))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11698, 14520, 17344, 20170, 22998, 25828, 28660?\n\"Answer: u**2 + 2819*u + 8878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = u - 5. Suppose 8*l - 13*l + u = 0. Suppose n - 65 = -l*n. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - 14. Let j = r + 96. Let d = j - 46.983. Round d to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -3 + (sqrt(5) - sqrt(15)\/sqrt(3))**2 + sqrt(405) + 1*sqrt(405) + -1 + 6*sqrt(45) + -4.\nAnswer: -8 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*c**2 + 0*c + 6\/5*c**3 + 0 = 0. What is c?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*626656\nAnswer: 15039744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = -i - 3*i, 17 = -5*z + 3*i. Let s be 3\/(-1) - 1177\/(-321). Which is the nearest to s? (a) -0.3 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159694 is divided by 77556?\nAnswer: 4582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + -3*sqrt(190))*5 - -3*2*sqrt(190))*5)\/(((sqrt(80)*-2 - sqrt(80))*6)\/((sqrt(72) + sqrt(72)*-3 - sqrt(72)) + sqrt(8))).\nAnswer: -80*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 16, 4, 0.\nAnswer: -9, -2, 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-2834148)\/(-2060) + (-2)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05274076 rounded to 3 dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - f - 3. What is w(4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 3*p - 2*p + 3*p - 2*p + 0*p + 5*p - 3*p + 0*p + (0 + 3 - 1)*(-1 + 2*p + 1) - 2 - p + 2 - 76 - 3*p - 7*p + 9*p.\nAnswer: 4*p - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f - 55*f = -414. Calculate the remainder when 329 is divided by -1 + f + 1 - (-18 - -21).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 112*f**2 - 377*f + 84. What are the prime factors of p(22)?\nAnswer: 2, 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*t + 26, 3*t + 0*t = 5*d - 35. Suppose -884*v + 587*v + 891 = 0. Solve -2*x - 5*s + v*s - 8 = 0, 3*x + d = 5*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or -6\/37?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:31 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7430, 20916, 34402, 47888?\n\"Answer: 13486*d - 6056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k**2 - 394366424*k - 87636984 = 0.\nAnswer: -2\/9, 21909246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 - 6*z + 2. Let k(l) = -5*l**2 - 7*l + 3. Let m(c) = 6*d(c) - 5*k(c). Suppose -a = a + 8. Does 13 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2746 - 2746 = -25*l. Let z(q) be the third derivative of l + 0*q**3 + 6*q**2 - 1\/12*q**5 + 0*q**4 + 0*q. Let g(h) = 5*h**2. Determine g(z(x)).\nAnswer: 125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/8)\/((-245)\/(-392)). Let s = 0.9 - 1. Which is the closest to r? (a) -2 (b) s (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -6. Let s = 0.35 + 0.05. What is the third biggest value in 0, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16010, 16008, 16006, 16004, 16002, 16000?\n\"Answer: -2*p + 16012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6227 is divided by 1522.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.20634 kilometers in centimeters?\nAnswer: 5520634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (7 - (22 + -14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -264 - 211. Suppose -o + 6*o - 285 = 0. What is the highest common factor of f and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -254 + 2d0c2?\nAnswer: 2cc6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:18 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o + 176. Let g(d) = -3*d. What is r(g(b))?\nAnswer: 24*b + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/30 - w**5\/60 + w**4\/12 - w**3\/3 - 2*w**2. Let f(l) = 21*l**3 - 5*l**2 + 11*l - 11. What is -2*f(o) + 11*v(o)?\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 16 + 1. Let l = 168\/1957 + 2\/103. Let g be (-3)\/(31\/(-52) + (-108)\/702). Sort l, y, 0.4, g in ascending order.\nAnswer: l, 0.4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*x - 21, 4*n - x + 56 = 49. Let l = -8 + 9.5. Let b = l + -1. Sort b, -12, n in descending order.\nAnswer: b, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 - 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -1718*v + 1710*v. Suppose 3*j + 20 = 5. Suppose -l - 2*l - 3*k = 6, l + 2 = k. Sort j, v, l.\nAnswer: j, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13252740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -56 - (2 + 5) - 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -4, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 6*v - 14*v - 48 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061173 rounded to 6 decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {a: 3, t: 1, y: 10, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 2190, 4936, 8790, 13758?\nAnswer: 19846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**3)\/((w\/w**(-8))\/w))**(-2\/183) assuming w is positive.\nAnswer: w**(6\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350233.\nAnswer: 13, 29, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1273, -2546, -3819?\nAnswer: -5092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -406990 - -714959. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(100\/(-30)))\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**2 - 510*c - 13000 = 0.\nAnswer: -52, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.03 - -8. Let l = 1527 - 1527.02964. Let d = l - z. What is d rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)*y**(-8\/7))**(-37)*(y**(-1\/4))**(1\/5)*y**(2\/11)*y**(1\/4) assuming y is positive.\nAnswer: y**(145661\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21. Suppose -4*t - 3*z - 198 - 94 = f, 5*z = -20. What is the remainder when 7 is divided by (t\/(-56))\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*x - 229 = -227, -36*g + 5*x + 82 = 0. Suppose 3*k - 15 = -5*h + 2, 2*k = 8. Let r be 2 - h*(3 + -1). Solve g*d - 5 + 13 = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -986, -2, 1, 5.\nAnswer: -986, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*l + 268*l + 4*y - 12141 = 0, -2*y = 2. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 119 + 81*u + 69*u - 206*u + 3*u**2 - u**2. Let o(y) = 2*y**2 - 56*y + 118. Let v(i) = -4*h(i) + 5*o(i). Find the first derivative of v(r) wrt r.\nAnswer: 4*r - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 15*i**2 + 6*i - 12. Give g(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861, 854, 847, 840?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6524)\/8*-10 + (-12 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7151\/4 - -1790. Let c(z) be the first derivative of -v*z**4 + 0*z + 1\/2*z**2 + 8 + 0*z**3. What is the second derivative of c(x) wrt x?\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3877*f**3 - 47*f**2 - 2*f - 81887.\nAnswer: 11631*f**2 - 94*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let q = -144 + 169. Let c(u) = q - 139*u + 42*u - 25. Determine d(c(m)).\nAnswer: 194*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 7. Let k = -3 - y. Solve 0*w - w = -k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**25*(j\/(j\/((j*j**6)\/j)*j))\/(j\/(j\/j**4))*j**(2\/21)*j*j*j**(-2\/9)\/j*j\/j**0*j*j*j\/(j**(3\/10)\/j)*j*j*j*j assuming j is positive.\nAnswer: j**(17161\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 2*r)*((-2*r**2 + 2*r**2 + r**2)*(3 - 2 + 0) - 2*r**2 + 2*r - r - 4*r**2).\nAnswer: -10*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360 - 0?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 134556648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/672 - h**7\/210 + h**6\/80 - 72*h**2. Factor g(u).\nAnswer: -u**3*(u - 1)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5799 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2 + 2)*((-5 - 1 + 4)*(1 + 1 - 4) + 2 + 3 - 3 + 6 + 3 + 0) in the form s + w*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-1020) - 495\/2805)\/((-2)\/1450). Factor -3\/4*z**5 + 624*z - 384 - 114*z**2 - v*z**3 - 33\/2*z**4.\nAnswer: -3*(z - 1)**2*(z + 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-24)*(-3)\/(10\/260*-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7825 + 9993. Is 29 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + -50. Let x = -94 - -97. Suppose -x*q - 2*y + 4 = 0, 0 = -2*q + 2*y - 0 + 16. What is the greatest common divisor of a and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -4.35. Let l = 0.15 - h. Which is the nearest to -2\/3? (a) l (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*((-28)\/(-280))\/((-6)\/90)*2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -1.4866079.\nAnswer: -2.1866079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**2 - 265*o + 1899?\nAnswer: 4*o - 265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {j: 4, w: 6, o: 2, x: 2, n: 3, h: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 2. What is the greatest common divisor of z and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14679166 is divided by 5635?\nAnswer: 5626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4456, -15943, -34464, -60019, -92608, -132231, -178888?\nAnswer: -232579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -p + 13, 3*k - 47 = 2*p - 88. Calculate the remainder when 158 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81132*x**2 - 3244*x - 9 wrt x.\nAnswer: 162264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2 - 16*m - 6*m + 11*m. Let z(a) = 6*a - 1. Let l be -7 + (0 - -4) - 1. Calculate l*r(b) - 7*z(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 32472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/(-3)*(-58)\/116?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llpp when four letters picked without replacement from pplppppplppl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**6\/1260 + r**5\/70 - 3*r**4\/28 + r**3 + 2. Let a(n) be the third derivative of x(n). Factor a(z).\nAnswer: -2*(z - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/12 + 3*f**3\/2 - 32*f**2. What is z(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, 1 c, and 1 o when four letters picked without replacement from {o: 1, v: 1, q: 1, u: 1, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2592) - -1*sqrt(2592)) - (sqrt(2592) + -5 + sqrt(2592)*-1))**2 + (6*(sqrt(128) - sqrt(128)*2) + -3)**2 + 3.\nAnswer: 1584*sqrt(2) + 15069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r + 0*r + 2*r - 3*r in the form m*r + f and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 - 4*z + 3. Let f be s(3). What is the units digit of f\/(-6)*(9 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501115667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose 5*g - 493 = -2*t, -g + 2*t - 14 + 103 = 0. Suppose 7 = -z*f + g. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 11. Solve 5*t = 3*l - 22, h = 4*t - 3*l - 9 + 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 = 5*g + 2*j, -34132*g - 5928 = -34210*g + 5*j for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-4 - 1 + 4)*(4 - 4 + 2*y)*((4 - 1 - 2)*(-2*y - y + 4*y) + 0*y + 2*y - 4*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/131187 and 9\/11107166.\nAnswer: 33321498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12 - 60 = -2*z, -5*h = -2*z - 192. Let n be (-5 - (0 + -1)) + 14. Calculate the highest common divisor of n and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 115*f**5 - 24400*f**4 - 199195*f**3 + 263080*f**2 - 39600*f = 0.\nAnswer: -9, 0, 4\/23, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3693210 divided by 1231070\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24615 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3342276 divided by -1114092\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613292, 613177, 612984, 612713, 612364, 611937?\nAnswer: 611432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = 0. Suppose 2*c - 6*f + 21 = -f, c - 2*f + 8 = t. Is 633\/12*2*c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g + 7. Let j be o(3). Suppose 2*m = -5*d + 62, 4*d - j = -4*m - 18. Let x = -515 + 539. What is the highest common factor of d and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894 = 127*y - 296 + 47 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Suppose 0*l + 4 = 2*l, 3*o - 4*l - 1 = 0. Suppose 0 = -f + 1 + 1. Let p(x) = -2*x**2 + 3*x**f - o*x**2. Give p(q(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313\/6 - (3 + 34\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -162*c**3 - 7*c**2 - 6*c. Let v be l(-1). Calculate the greatest common divisor of 115 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01769 to 4 dps.\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - 2*l - 3. Let f be p(-3). Suppose -2*m + 5 + f = 5*o, 2*m + 4*o = 68. Solve 0 = 4*h - 4*g - 35 + 11, 0 = 5*h - 3*g - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15362153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Suppose n + 10 + 5 = 0. Let x be (-39)\/n - (-6)\/(-10). Let f(b) = x*b**2 + 0*b**2 - 3*b**2. What is f(s(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-18)\/(-5))*39\/(-26)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 507 or 82.94?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -49, -31, -25, -37?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -17*u**2 - 5*u - 17. Suppose 24 - 60 = -18*a. Let m(q) = 4*q**2 + q + 4. Suppose -45 = -0*b - 5*b. Give a*y(s) + b*m(s).\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -43*y**4\/4 - 9*y**3\/2 + 6*y**2 - 19*y + 7. Find the second derivative of a(w) wrt w.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 - -1.\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.2, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*h = -312*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/73 + -3677\/730. Let i(m) = -m**2 + 1. Let r(c) = -2*c**2 - 7*c + 18. Let t(n) = 3*i(n) - r(n). Calculate the common denominator of o and t(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.4 (c) -3 (d) -1\/11 (e) 3407 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*j + 531*j - 267*j = 2*c + 22, 38 = -2*j - 4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 90. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from cclclllgl.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-14.2.\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435411 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143 + 449*p**2 - 899*p**2 + 447*p**2 to f + c*p + z*p**2 and give f.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-156)\/(-12))*1. Let b(t) = t**3 + 12*t**2 - 9*t + 6. Give b(r).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25 from -673.\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201 - 110?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)*w**2*w\/(w\/w**(6\/7))*w\/(w**(1\/15)\/w) assuming w is positive.\nAnswer: w**(-232\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n + 113. Let a be c(-10). Solve 0 = -3*g - 0 - a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.1401 < -1011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/88 and 53\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12)**(-1\/89)*(v*v*v**(-4\/33))\/(v**(12\/13)\/v) assuming v is positive.\nAnswer: v**(69523\/38181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let f(i) = -13317*i**2 - 13325*i**2 + 26643*i**2 - i. Determine f(g) + 3*u(g).\nAnswer: g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/390*-3)\/(2\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + 3.57. Let j = o + -3.51. What is the closest to j in -2\/13, 3, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 215868, 215605, 214896, 213519, 211252?\n\"Answer: -37*w**3 - w**2 - w + 215907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhjhjpjhjjhjh. Give prob of picking 1 j and 1 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23*f**3 + 3*f**2 - 43. Let z(q) = 22*q**3 - 2*q**2 + 44. Let m(n) = 2*r(n) + 3*z(n). What is the derivative of m(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y**5 - 2552924*y**4 + 67728563840*y**3 + 8575562538424*y**2 + 271521575893512*y + 45015699471876 = 0.\nAnswer: -63, -1\/6, 53249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -788 divided by 5?\nAnswer: -788\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75884969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11468 divided by 122\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.05 + 287.05. What is the second biggest value in -3\/8, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:57 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.48054 years?\nAnswer: 0.0948054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = 12*a - 135 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5, 3, -215445, -0.3?\nAnswer: -215445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/9*(-36)\/(-16). What is the third derivative of -766 + 29*y**2 + 30*y**q + 766 wrt y?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2. Let a(j) be the first derivative of 4*j**3\/3 + 5. What is a(s(q))?\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xur when three letters picked without replacement from {u: 1, x: 1, b: 2, g: 1, r: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(28) - sqrt(7)))\/(sqrt(21)\/sqrt(112)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4974 - -60?\nAnswer: -4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 432430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4075923*c**3 + 780690*c**2.\nAnswer: -24455538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)*m**(-1)*m*m*m*(m**6\/m)\/m**(2\/11) assuming m is positive.\nAnswer: m**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - -14. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 228138 - 17?\nAnswer: 228121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -4 (b) 7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3936, 3922, 3894, 3846, 3772?\nAnswer: 3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, -97, 0, -2\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3712 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/26*(-12)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.1, 3, 2, -7, 41, 7 in increasing order.\nAnswer: -7, -0.3, -0.1, 2, 3, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-10)*(-22 + 0). Let z be (k\/(-4))\/(21\/28). Solve -3*y + 4 = -3*d - z, -d + 5 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5985 and 1447040.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2174*k**3 + 4 - 122*k - 2173*k**3 - k)*(4 - 5 + 3).\nAnswer: 2*k**3 - 246*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 112*v**2 - 973*v - 131199. Give z(-110).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*(l*(l**(-3\/7)\/l)\/l)\/l)))\/(l*(l*l\/(((l\/l**(-2\/3))\/l)\/l*l))\/l*l)*(l*l*l**3)**38 assuming l is positive.\nAnswer: l**(3911\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10126 is divided by 1231?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7493*g + 551850 + 174971 = 0 for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-994)\/42 + 12 + 2. Let f be -7 + 2\/2 + -3. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2616 + 0.2206. Let s = -3.041 - h. Let w = -7 + 7.8. What is the nearest to -2\/3 in w, -1\/10, s?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/13521 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*u - 7, -3*f = -3*u - 41 + 38 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1070, -3250, -6472, -10736?\nAnswer: -16042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6) - 808\/(-462) - 10034\/70238.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81263029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/4 + 7*r**3 - 17*r**2\/2 - 37*r - 87\/4 = 0.\nAnswer: -29, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*b = 126*b - 42. Calculate the smallest common multiple of 156 and ((-6)\/5)\/(b*10\/1050).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 0.0771.\nAnswer: -0.1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -189412, -378813, -568214?\n\"Answer: -189401*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 6. Let w(q) be the first derivative of -5*q**2\/2 - 13*q + 2. Suppose -i = -5*x + 14, 0 = 3*i + 3*x - 5*x + 16. Determine i*w(k) - 9*h(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-42) + 526\/5523.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-2)\/4*2 + -107). Suppose -f*c + 7777 = -95*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*g + 1045*g = 1949*g - 2278 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9193 + 13198. List the prime factors of f.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (139 - 81) + -109 + 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:23 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 83479\/6183?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p. Let t(u) be the first derivative of -u**5\/120 + 2*u**3 + 6. Let m(j) be the third derivative of t(j). Determine g(m(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 76. Suppose -n + 556 = -3*t, -k*t + 6 = -11*t. What are the prime factors of n?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -302.8 - -302.2909. Let z = y - 4.2169. Round z to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443758?\nAnswer: 2, 7, 29, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16044238 and 103682.\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(252) + -1 + sqrt(252) + 1 + (sqrt(252) - sqrt(252)*1)*-2 + 0)*6)**2 + -1.\nAnswer: -144*sqrt(7) + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-9) + 68\/(-12). Let w(p) = -p**3 - 5*p**2 + 14*p - 4. Let o be w(u). What is the closest to -1 in 5, 4, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24669705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 + 91*r - 21186 = 0.\nAnswer: -198, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esahes. What is prob of picking 1 a and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose -k*c + 585 = c. Let q = 244 - c. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30134, 30335, 30662, 31115, 31694, 32399?\nAnswer: 33230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 - 13) + 10\/(-3). Which is the smallest value? (a) -0.1 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3330 by -6.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74095225 to the nearest integer?\nAnswer: 8608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h*o**2 + 2*h*o - 5*h + 72*o**4 - 4*o + 2 wrt o?\nAnswer: 28*h + 864*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:34 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = 6. What is the third derivative of k**x + 7*k**4 + 3*k**4 - 25*k**4 wrt k?\nAnswer: -360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.679323 rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64514392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086 a factor of 25749584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 147*v. Let u(m) be the first derivative of 5*m**2 + 270. Calculate u(h(w)).\nAnswer: 1470*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 11\nAnswer: 49\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12120101212?\nAnswer: 12120101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483197, 3865685, 13046727, 30925601, 60401585, 104373957, 165741995?\nAnswer: 247404977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpgmpmggggg. What is prob of sequence mg?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9427429 is divided by 2356791.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 36969 and 2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2606, -5193, -7780, -10367, -12954, -15541?\n\"Answer: -2587*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2) - (-24)\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*k - 13, -5*j - 3*k = 4 - 3. Let a(g) = -23*g - 1. Calculate the remainder when a(j) is divided by -54*(-5)\/45*4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 3743916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000175970503 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:08 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3745 (base 8) in base 16?\nAnswer: -7e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -32\/11, -4\/3, 149, 0.1, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + -1 + sqrt(720) + -4))**2.\nAnswer: -432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 0.23 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 27*w**2 - 27*w - 27. Let s be u(28). Let g(p) = p**3 - p + 1. Let a(x) = 12*x**3 - 8*x + 8. Calculate s*a(y) - 8*g(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 - 15 = 0. Suppose -k = -x + 4. Let y(a) = -a + 2. What is y(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8170988\/9 + -906667. Let p = w - 1219. What is the common denominator of p and 122\/(-14) + (-1)\/(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3719373, 7438745, 11158117?\nAnswer: 14877489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i + 42 = 22*i. Find the common denominator of 94\/(-9) - 18\/i and ((-2)\/(-12))\/((-2)\/262).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 1, f: 4, c: 6}. What is prob of picking 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbyiiybbyiiyb. Give prob of sequence by.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33952, -67967, -101982, -135997, -170012, -204027?\n\"Answer: -34015*a + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153815293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 - 185*c - 180 = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 515 + -478. Calculate the lowest common multiple of m and 7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 13524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 12*y - 10. Determine g(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9 + 3. Let d = z - 0.5. Let c be (-9)\/2 + (-3)\/(-2). What is the closest to c in d, 3, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153*b**4 - 2304*b**3 + 3*b**2 + 585223*b?\nAnswer: -3672*b - 13824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-362 + 9*m + 362)*(m**2 - 2*m + 2*m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 12. Let t be 37\/5 + 2\/m. Let x = 4937 + -4937. Sort x, t, -3, -5 in descending order.\nAnswer: t, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.1. Let q be 3\/15*(-5)\/(-2). Let y(z) = z**2 - 12*z - 4. Let w be y(12). Which is the nearest to x? (a) 0.4 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 2.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594606.\nAnswer: 2, 3, 113, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*g - 6*g. Factor g*o**2 - 3*o**3 - 5*o**2 + 6*o**2.\nAnswer: -3*o**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 8) to base 13\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/859 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 110718995\/(-12)*34\/75. Let f = y + 4182933. Let o = f + -2035\/9. What is the common denominator of 65\/16 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 5*t + 2. Let q(z) = -7*z**2 - 7*z - 4. Let o(c) = -c**2 + c - 2. Let m(i) = 4*o(i) - q(i). What is -5*d(b) - 2*m(b)?\nAnswer: -b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 12185128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21004 divided by -157?\nAnswer: -21004\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 2*h + h. Let l(d) = -d - 7. Calculate l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1128 = -0*f. Let x = -190 + f. Suppose -v - x = -5*g - 0*v, g = v + 34. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*t = -11 - 7, -3*t = 6. Let k(i) = 2*i**3 - 3*i**2 + i - 1. Is k(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -74. Let h(u) = 9*u**3 - 2*u**2 + 1. Let x be h(1). Suppose 3*n - x*n + 59 = 2*q, 4*q - o = -5*n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4223888 and 1484.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - 498\/(-24). Let q be (-5)\/(-20) + (-374)\/(-8). Let p = q - h. What is the highest common factor of p and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 2565419.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1883*p - 825. Is m(-2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 22. What is o(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12377 + 12363.993. Let z = w + 13. What is z rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4*o**2 - 2 + (37 - 48*o - 37)*(o + o - o) - 2*o**2 - 3*o + 3*o + (-3 + 3 - 2)*(o**2 + 1 - 1) + o**2 - 4*o**2 + o**2 + 2*o - 2*o + o**2.\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = -3. Suppose 14 = -2*d - 6. Let v = s - d. What is the nearest to 0 in 3, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 28 - 10 = 3*d, 1 = g - 2*d. Let y be g\/(-2)*6\/(-3). Let f = 3.3 + -3.3. What is the third smallest value in f, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 3. Suppose -u + s*j = -4*u + 6, u + 3*j = -6. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000597311 to 7 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*o**2 - 1050*o**2 + 445*o**2 to the form v + c*o + y*o**2 and give y.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 355?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myycwtlt. Give prob of sequence tymy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5711160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75341*k - 161268*k - 457918*k + 107869*k.\nAnswer: -586658*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 16. Let m = 45 - -20. Let u = m - b. Calculate the greatest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 8*j + 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 1299547848*x + 211103076155178888.\nAnswer: 2*(x + 324886962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t = -4*d + 28*t - 18, 2*d + 4*t - 2 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 293715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19422\/63 + (-4)\/14.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-636)\/(-477)*(-30)\/64. Let v = 0.3 + -0.1. Let h = -1.4 - -1.2. What is the biggest value in 2\/13, v, h, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1736*k**4 + 2753*k**4 - 3*k - 8*k**2 + 4437*k**4 + 8*k**2 + 387 wrt k.\nAnswer: 65448*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-4))\/(3\/2). Let s = 43 - u. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132836 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnn. What is prob of picking 1 n and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.9, -4, -8\/3, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -28*p + 320. Calculate the remainder when 317 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 322 (b) 2 (c) 4 (d) 3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325365.9176 + 18.0824. Let v = n + -325275.4626. Let g = v + 0.1626. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 39*z**5 - 7*z**4 - 13*z**2 + 7. Let h(m) = 26*m**5 - 5*m**4 - 9*m**2 + 5. Let n(x) = -7*h(x) + 5*w(x). Find the third derivative of n(a) wrt a.\nAnswer: 780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from mhbvf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -34. Suppose 0 = 3*g - 21 - 54. Suppose 35 = 5*x + g. Which is the closest to -1? (a) x (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010202010200 (base 3) in base 4?\nAnswer: -2103233301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*j, 20*i + 12 = -5*j + 21*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 1756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {g: 8, o: 7, i: 1, q: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4)*(2*a**2 - 3*a**2 - a**2) - a**2 + 0*a**2 - 2*a**2 + (-a + a + 2*a)*(5*a - a + 2*a) as y*a**2 + f + h*a and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-3) + 1\/(-4)*0. Suppose 4*t + 76 = 9*w - 4*w, -5*w + 52 = z*t. Calculate the remainder when 42 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 9*j + 9. Let q be x(-7). Let f(p) = -p**2 - 10*p + 5*p - q - 2*p + 29. Calculate f(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17602031 is divided by 8801006.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4 - 18 + w**3 + 49*w + 5 - 19*w**2. Is f(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -226 + 225 - (-10 + -1 + 0) - 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 194536379898 and -8?\nAnswer: 194536379906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 513 = 33. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 34.\nAnswer: 32\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -263\/12 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228077 take away -191.1?\nAnswer: -2227885.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-6)\/s)*s**3)\/(s**(-2\/3)*s*s**(-3\/7)\/s) assuming s is positive.\nAnswer: s**(254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(432) + (sqrt(432) - (sqrt(432) + 2*sqrt(432)))) + 5.\nAnswer: -sqrt(5)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -13. Suppose 4*l = 2*g - 120, -t*g + l + l = -222. Calculate the common denominator of -5\/12 and 3\/g*83\/(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65068899, -65068901, -65068903, -65068905, -65068907, -65068909?\n\"Answer: -2*c - 65068897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a**3 + 12*a**2 - 93*a + 12. Let t(x) = x**3 + x**2 - 2*x + 1. Let o(k) = d(k) - 12*t(k). Find the second derivative of o(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:28 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37 times -3\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3395)\/(-8730)*(-4)\/(-42)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -21. Let k = 12 - s. What is the second biggest value in -4\/7, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/10 - 8\/5. Is w at most 0.037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74, 136, 192, 242, 286?\n\"Answer: -3*q**2 + 71*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - s + 2, 3*s - 12 = 4*a. Let q be 1\/a - (-543)\/18. What is the highest common divisor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4746725 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21936764?\nAnswer: 2, 5484191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqww when four letters picked without replacement from hsaqwswa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165318, 166934, 168548, 170160, 171770, 173378?\nAnswer: 174984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 7}. What is prob of picking 1 r and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3939, 6, -2, 2 in descending order.\nAnswer: 6, 3, 2, -2, -3939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 6, q: 3, d: 1}. Give prob of picking 1 d and 3 q.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 4*m + 2*a, 2*a + 14 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 473665910*w**5 + 772454308*w wrt w?\nAnswer: 9473318200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b. Let w(l) = l + b - 3 + 1 - 2. Let i(x) = 3*x - 9. What is 3*i(t) - 7*w(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1399*w - 1061*w + 5*w**3 - 4*w**3.\nAnswer: w**3 - 2460*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 461*s**2 - 116*s - 167. Determine n(-115).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2\/8 + 27500583*a\/4 + 55001169\/8 = 0.\nAnswer: -1, 18333723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.120551 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/4 - (1 + 249\/(-6)) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -79. Suppose -4*o + 29 = -3*q, r*q - 5*q = 15. Suppose -t + 5*j = -5*t + 37, 5*t + o = 4*j. Solve t*n = -n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 28*o + 27. Let l(n) = -19*n - 18. Let p(x) = 5*i(x) + 7*l(x). Let v(k) = -4*k - 5. Determine -6*p(m) - 11*v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 536 - 322 = 24*f - 652 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/2 + 813*v**2\/2 + 23808*v + 46002 = 0. What is v?\nAnswer: -187, -82, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40791 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: Let d = 4 + -3. Let g(j) be the third derivative of -1\/12*j**4 + 0 + 1\/3*j**3 - 132*j**2 + 0*j. Let f(i) = i**2 - 1. Determine d*g(l) + 2*f(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/9 + -58\/45. Suppose 3 = 4*k - k + 2*f, 2*k - f = 2. Put -3\/7, k, p in increasing order.\nAnswer: -3\/7, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 6, e: 1, j: 4, l: 3, z: 3}. What is prob of picking 2 j and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 45 = -9*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 2*s - 1. Let x = 305 + -181. Suppose r + 0*r + 2*z - 52 = 0, 2*z + x = 3*r. What is the remainder when r is divided by t(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from ibiiiibiibiiiiiiibii.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 + -241. Put -0.5, o, -0.05 in increasing order.\nAnswer: -0.5, -0.05, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 2881.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*r + 9, 0 = -3*s - 0*s - 5*r + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 6*c - 107. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*c = -104, 3*q + 173 = 8*q - 3*c. Suppose -q*s = -41*s - 70. Let d(u) = -2*u**3 + 8*u**2 + 4*u + 10. Let v(a) = a**2 + 1. What is s*v(n) + d(n)?\nAnswer: -2*n**3 - 2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 897331 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = -3*y + 12, -15 = 3*y. Let m = w - 8. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -35.8. What is the nearest to q in 2\/11, 1, 32\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305234?\nAnswer: 2, 152617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/4 (c) -17\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*a**5*y**3 - 297463*a**3*y**3 + 10*a**2*y**2 - 34644*a + 2*y**3 wrt a.\nAnswer: 1380*a**2*y**3 - 1784778*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:22 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(52) + sqrt(52)))\/((sqrt(8)\/sqrt(2) + sqrt(4))*3) + 5 + sqrt(52)\/sqrt(4) + -5*sqrt(52) + (sqrt(117) + -3 + sqrt(143)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: -34*sqrt(13) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose 0 = -4*d - 3*s + 20, d = -z*d + 3*s - 10. Factor x**3 - 2*x**3 + 4*x**d - 4*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, -2, 7, 0 in descending order.\nAnswer: 18, 7, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*g + 6*c = 2*c - 30, -14*g = 25*g - 55*g + 5*c + 62 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 11*i**2 - 10*i - 24. Let f be h(12). Suppose 43*v - 36*v + 35 = f. Sort -49, 5, v in ascending order.\nAnswer: -49, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -307777 and 0.15308?\nAnswer: 307777.15308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2332)\/20988)\/((-2)\/1062).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2028, -3796, -5564, -7332, -9100, -10868?\nAnswer: -12636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**2. Let q(n) be the third derivative of 11*n**5\/60 + 92*n**2. Calculate v(q(j)).\nAnswer: 1331*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144643067\/2368380330 - -2\/1589517. Calculate the common denominator of u and -35\/2682.\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 72\/(-45))*(-1)\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 23, 14\/9, -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -5, 7.\nAnswer: -5, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/165)\/(-4))\/((-1)\/5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51678876?\nAnswer: 2, 3, 757, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6250009*o**3 + 5482615?\nAnswer: -18750027*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27749568*c**3 + 32480*c - 28 wrt c.\nAnswer: -166497408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b + 47. What is p(9)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515 divided by 1?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**4 + 5*d**3 + d**2 - 3459*d?\nAnswer: -168*d**2 + 30*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 9*t**2 + 9*t + 10. Let h be r(-8). Let w be 1\/(-2)*0\/(-1). Solve 2*o + h = -w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.2 + 20.2. Let v = 2.16 - 2. Let j = -13 - -16. Which is the third smallest value? (a) j (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 4 + 1 - j**2 - 7*j + j**3. Suppose 2*i - 4*i + 2 = 3*z, i - 19 = 3*z. Suppose -5*f - i = -32. What is p(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(108)*-2*-5 - sqrt(108)) + (4 + sqrt(108)*3)*-3)*3)**2*5.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/34 + -261 + 259.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95952 + -47399. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 119 = -5*f - 5*b, f - b = 41. Let i be (-24)\/36 + (-76)\/3. Let z be (-3)\/((-3)\/(-2)) - i. What is the greatest common factor of f and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)\/c**(-2))\/(c**(-2\/3)*c**2\/c))\/((c**1)**26)**(-1) assuming c is positive.\nAnswer: c**(587\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from {t: 1, h: 4, g: 1, r: 2, a: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4401*l*p**2 - 89*p**2 - 36*p wrt l?\nAnswer: 4401*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1132 + -1132. Solve l - 4*v + 5 = 0, m*l + 3*v = -5*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*k**5 - 2*k**4 - 274*k wrt k.\nAnswer: 2700*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 4*g**3 - 4*g**2 + 1 + 5*g - 3 + 3*g**2 to the form p + c*g + z*g**2 + d*g**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 129151216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/1828899, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.097935.\nAnswer: -0.0097935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -33*t**2. Let w(z) = -19*z - 8*z + 28*z + 5*z. Determine o(w(y)).\nAnswer: -1188*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1461196331 + 722?\nAnswer: -1461195609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2 - 10*f - 14 - 7 + 6*f**2. Let g(n) = 5*n**2 - 10*n - 22. Let t(m) = -4*c(m) + 5*g(m). What is the units digit of t(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-286)\/33*(-57)\/38.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 3*r. Let m be z(2). Let i = 13 + -22. Let u = i + 17. Solve -3*g - 4*k + 16 = 0, 0*k = -m*k + u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 51, -3, -2\/151757 in increasing order.\nAnswer: -3, -2\/151757, 3\/5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.38 + -132279.7.\nAnswer: -132283.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*b - 5*f, -21*f + 12 = -b - 17*f. Suppose 3*l - 15 = 0, -2*r - b*l + 45 - 11 = 0. What is the lowest common multiple of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3095 - 232079\/75. Let d be 36*(-5)\/150*(-3)\/5. Let k = t + d. Which is the closest to -2\/7? (a) 0 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17026, -34017, -50966, -67873, -84738, -101561, -118342?\nAnswer: -135081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021 and -0.06.\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"arithmetic__mul_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 t be 1\/3 + 985\/15. Let m = -33 + t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-3 + 1 + 3)*(7*l + 2*l - 5*l)*(-17*l + 17*l + l**2 + (17*l - 17*l + 8*l**2)*(-1 - 1 + 1)).\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let d be m(0). Suppose -2*o + 28 = -d*o. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0 + 4*n - 4\/3*n**3 + n**2. Is l(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -4. Suppose -5*r + l = -13. Suppose 3*v - 8*b = -3*b + 73, 0 = 3*v + r*b - 55. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + (5 - 636) + 5\/1. Is -636 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*x = 10, -j - 6*x + 2*x = 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -11. Suppose 2*d = g - 6, 4*g - b*d + 9 - 37 = 0. Let u = g + -29. What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/20? (a) 5 (b) 3 (c) -3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:59 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*w - 14, 2*w - w - 14 = -4*v. Suppose 0 = v*l - 10*l + 546. Calculate the highest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 25 = 7*r, 2*r + 5 = 3*g. Suppose m + 4*n + 16 = 2*m, -n - 99 = -g*m. Suppose -4 = -j, -t = 2*j + 2*j - m. Solve t*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*u + 5936 = 282*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 51*v + 347. Let m be i(8). Find r, given that 4\/5*r**4 + 2*r + 18\/5*r**2 + 2\/5 + 14\/5*r**m = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11085789 and -0.4.\nAnswer: 4434315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2456*v + 7*v**2 - 2424*v + 4*v**3 - 4*v**3 - v**5 wrt v.\nAnswer: -20*v**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, s: 7}. Give prob of picking 2 j and 2 s.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-7) + 3 + 12\/21\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00593063 to 5 decimal places.\nAnswer: 0.00593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 17*t**5\/15 + 12*t**3 + 28*t**2 + 1. What is the first derivative of l(q) wrt q?\nAnswer: 136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from hhiiisib.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 9*m - 9. Let d be q(7). Let l(g) be the first derivative of 1\/5*g**d + g**2 + 0*g + g**4 + 5\/3*g**3 + 2. Factor l(f).\nAnswer: f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 6*i**2 - i**2)*((-2 - 4 + 2)*(1 - 1 + 2) + 0 + 5 + 1 + 3 - 2 + 0).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -6\/5, -5, 2, 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -91*x. Let k(w) = -5*w. What is y(k(u))?\nAnswer: 455*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -749367*m**5 + 2861521*m.\nAnswer: -14987340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -17, -30, -47, -68, -93?\n\"Answer: -2*g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffjf when four letters picked without replacement from efjfjfefjeffje?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11255 by -25.\nAnswer: -2251\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/12 + 1\/(-4). Suppose 0*g = 2*g. Let t(d) = -d**2 + 4*d + g*d + d - 2 + 0. Calculate t(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-22) + (-41)\/44. Put p, 4, 0.3 in descending order.\nAnswer: 4, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 517\/43529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 2, e: 1, t: 3, z: 1, i: 3}. What is prob of picking 1 t and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(z + z + 0*z)*(2 + 0 - 4).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 - 523*k**3 + 68673*k**2 - 135773*k + 67624 = 0.\nAnswer: -632, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/3 - 47*u**4\/3 - 596*u**3\/3 - 1012*u**2\/3 = 0.\nAnswer: -23, -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47483 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 475366.7 tonnes?\nAnswer: 475366700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/96 + (-53499)\/28968.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - t + 2*t)*(-2*t - t + 5*t) + t**2 - 2 + 2)*(1 - 4 + 1)*(-45*t - 2*t - 12*t).\nAnswer: 354*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -530, -629, -526, -155, 550?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 3, l: 7, h: 1}. Give prob of sequence szl.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.715 (b) 0.4 (c) 1 (d) -2\/5 (e) 19 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*c*j*l**3 - 5*c*j*l**2 + 307*c*j - 2*c - 1 wrt l.\nAnswer: 54*c*j*l**2 - 10*c*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egg when three letters picked without replacement from {g: 3, k: 1, q: 5, e: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 13 = 77. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p - k + 72 = 0, -5*p = -4*k - 137. What is the remainder when (-1 - -2) + p + -2 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.013 and -37.72494.\nAnswer: 0.49042422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*b - 338*b + 5024 = 239*b + 298*b for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14327, 28713, 43173, 57743, 72459, 87357?\nAnswer: 102473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 4*k**2 - 5*k**4 - 2*k**2 - 2*k**3 as x + t*k**4 + s*k + n*k**2 + y*k**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(3\/(-1)))\/(85\/510)*(-1104)\/460.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10001011 (base 2) to base 15\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*(30\/(-12))\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (376\/6)\/((-8)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(1 - -2) + -3. Let q(c) = -c**3 - 3*c**2 + 2. Let m be q(h). Put -3, 0, m in increasing order.\nAnswer: -3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from poopppo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273077 is divided by 165.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566733561.\nAnswer: 3, 6551, 28837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220 divided by 4.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*(0 - 1))\/(7\/21). Let b be -3 + -7 - -2 - -3. Let x = -4 - -4. Put b, f, x in ascending order.\nAnswer: b, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4\/3 + 16180*y**3\/3 + 81055*y**2\/3 - 32410*y = 0.\nAnswer: -6, 0, 1, 3241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 5 + 4 - 6 - 6. Let h(o) = 2*o**3 - 13*o**2 - 3*o + 47. Let y be h(6). Let t be n(y). Which is the third biggest value? (a) 0 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3 (c) 35 (d) 0.3 (e) 9.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) -1021 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -22*-1*(-3)\/(-1) and (352\/(-1056))\/((-1)\/198).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 + -333. Solve v = -i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/667 + -27323\/2668. Let d(u) = -4*u + 6. Let b be d(-9). Calculate the common denominator of (24\/b)\/((-3)\/(-7)) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-39)\/18 - -2). Let g(a) = -a**2 - 11*a - 7. Let j(o) = -o**2 - 10*o - 6. Let v(f) = u*g(f) + 7*j(f). What is the second derivative of v(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 9 - 3. Suppose 18 = -4*c + c - 4*r, 30 = -5*c - q*r. Let y(n) = -8 + 17*n**2 - 18*n**2 + 46*n - 55*n. Give y(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 289, -1 in decreasing order.\nAnswer: 289, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(6) + (sqrt(7) - (sqrt(7) - (0 + sqrt(175) + sqrt(7)) - sqrt(7))) + sqrt(7) + -2)*-6.\nAnswer: -60*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -200784 divided by 2\nAnswer: -100392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 1145022?\nAnswer: -1145155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:04 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 679680550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*a**2 - 580396*a - 1860902 wrt a?\nAnswer: 10*a - 580396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4 + -3)\/((-2)\/(-3166))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5466 + -2.5266. Put -2, -0.3, 0.51, r in increasing order.\nAnswer: -2, -0.3, r, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14576*u - 6 + 4863*u**2 - 14576*u.\nAnswer: 4863*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-8 - ((-2 - 19) + (-10 - -17))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2116 and 5.\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 49. Suppose 0 = -a - 114 + 116. Sort -1, -5, i, a in increasing order.\nAnswer: -5, -1, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3821 = -4*i - 5*a, i - 1909 = -i - 3*a. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.301 * 3130.\nAnswer: 942.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -518 by 3.\nAnswer: -518\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 - 7*u**2. Suppose 0 = -16*l + 35 + 301. Let r(k) = k**3 + 2*k**2. Calculate l*r(q) + 6*a(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 636 = f - 3*a, -2589 = -4*f - 3*a. What are the prime factors of f?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.6 or -1.32018?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9192445*u**2 - 4*u - 48386758 wrt u?\nAnswer: -18384890*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106.51264 - 0.46584. Let h = l - 106. What is h rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s + 8*s + 5*s)*(0*s + 0*s - s**2)*(-4*s - 3 + 3 + (-3*s + s + 3*s)*(-4 + 2 + 3)) + (-s**2 + 2*s**2 + s**2)*(-4 + 4 - s**2).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from {f: 1, d: 2, c: 1, v: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 32. Let x(m) = -3*m**3 - 29*m**2 + 18*m - 13. Let u(w) = w**3 + w**2 + 1. Let a(d) = q*u(d) + 2*x(d). What is t in a(t) = 0?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 13*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5098977 divided by -69849.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + -67. Let z = 40 + u. What is the remainder when 76 is divided by z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -134110?\nAnswer: 134114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/15)\/g**(3\/29)*g**3*g**(2\/19)*((g**(1\/10)*g)\/g*g)\/(g**(-4)*g) assuming g is positive.\nAnswer: g**(119597\/16530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1556160 and 37\/778080.\nAnswer: 1556160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*g**2)*(2 + 0 - 3) - 3*g**2 + 2*g**2 + 0*g**2 - g + 51961*g**2 + 0*g + 8 - 51939*g**2 to m*g**2 + z + h*g and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -44*o + 42*o. Which is the nearest to 13? (a) -0.1 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4531*b - 5*x = -4526*b + 85, x - 31 = 2*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 83 = -4*b, -15*b - 23*b + 37*b = -v - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/522874814 and 7\/5423.\nAnswer: 522874814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2 + 56\/16. Let u be (-3)\/2*(-1)\/(-2). Which is the nearest to 0? (a) u (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19803 divided by 2829.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 + 4. Let m(v) = -100. Let p(i) = 43. Let t(b) = 3*m(b) + 7*p(b). Determine n(r) - 2*t(r).\nAnswer: r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w\/(w**20\/w))*w\/(w**(-2\/13)\/w) assuming w is positive.\nAnswer: w**(275\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:33 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = 10. Let s(p) = 4*p**2 + p + 4. Let h be s(d). Let a(f) = 2*f**2 + 162. Let q be a(0). Calculate the greatest common divisor of q and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3416 - 3411. Solve 20 = -5*l + 4*l + o*m, -5*l - m - 22 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -13 (b) -0.3 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000090744 rounded to 6 dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 + -4 + -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da - 288e4e?\nAnswer: -288d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*o - 578 + 1635, 4*c + 5*o = -1033. Let b = -148 - c. Is 1 - (-2)\/(4\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and 411919824203.\nAnswer: 411919824202.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 3. Is (142\/v)\/((-4)\/3)*22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190032971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -18 - -13 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 2*a + 2583. Let q(c) = -46*c. Give r(q(k)).\nAnswer: 2116*k**2 + 92*k + 2583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 2. Let j be k(3). Suppose -2*g - 2 = -j*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42298000 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2228836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -18*d + 13. Let i(q) = -q**2. Give a(i(k)).\nAnswer: 18*k**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rririccrrrrccryrrryc. Give prob of picking 1 r and 1 c.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*s = -31, -m + 5 = -2*s - 7. List the prime factors of 186\/m + 8\/(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-70)\/6)\/(40\/(-3000)). Let f(i) = 1741*i - 868*i - c*i. Let y(w) = 115*w + 1. What is y(f(g))?\nAnswer: -230*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 498 and 12.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 79 = -4*o - 2*m, 0 = -5*o + 4*m + 122. Let i = 6 - -1. Solve -o = -5*d - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682904080 divided by 63080.\nAnswer: 10826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-674)\/340 - (920\/782)\/10 and -23\/4710?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -301737996 from -72.\nAnswer: 301737924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 + 5.856. What is o rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*n = -2410, 3179 - 159 = 5*p + n. Let x be ((-220)\/p)\/(2\/(-22)). Solve -x*d = -35 + 51 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2 - 45*u**2 - 44*u + 1 - 9 - 10*u**3 - 6*u**3.\nAnswer: -4*(u + 1)*(u + 2)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 128, 137, 146, 155, 164?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7262 + -7262. What is the closest to -0.1 in 1\/12, i, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/21)\/(((-22)\/42)\/(44\/(-330)))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-45)\/(-6)))\/(79\/(-28045)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 - 3994 = -2*o. Let i = o + -103129\/63. Which is the smallest value? (a) -2 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/2 + ((-63)\/(-6))\/(-7). Let n be (-14)\/(-6) - 0 - (o - -1). Put n, 2, 7 in increasing order.\nAnswer: n, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171154214 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.643164 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 365328132*h**2 - 469888366 wrt h?\nAnswer: 730656264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282407*c**3*q - 76*c**3 + c**2*q - 7*c**2 + 11*c*q - 2*c - 4*q + 65 wrt c?\nAnswer: 1694442*q - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -4.5, -0.7, 2.9, -111?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 8*u - 1. Let l be n(-4). Suppose -5*m = -2*m - l. Calculate the lowest common multiple of m and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 9*y**2 + 6*y - 7. Determine j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -5626?\nAnswer: -5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8566 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: Rearrange 477*w**2 + 3358*w - 1534*w + 3795*w - 238*w**2 - 238*w**2 to z*w**2 + s + h*w and give h.\nAnswer: 5619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -119*l + 526. Let c(f) = -24*f + 105. Let d(z) = 11*c(z) - 2*q(z). What is the derivative of d(v) wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 579*h*k**2*x + 324*h*k - 5*h*x - k**2*x - 4*k**2 wrt k?\nAnswer: 1158*h*x - 2*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -386183 by 462.\nAnswer: -55169\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2404*k**3 + k**2 + 651*k - 650. Give i(1).\nAnswer: 2406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:42 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:07 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.2923 - 14.579. Let p = -0.72 + o. What is p rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 26 + 7)*(-k - 2*k + 4*k + 11) in the form z + r*k and give z.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p**2 + 1. Let z(w) = 5*w**3 + 5*w**2. Suppose 840 = 5*t + 5*f, 4*t + 2*f = 5*f + 700. Let x = t - 176. Determine x*q(k) + z(k).\nAnswer: k**3 + k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 12 = -9*m. Which is the closest to 1\/2? (a) 2\/13 (b) -3\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nee when three letters picked without replacement from xnennee.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/7 + 2\/7. Suppose -4*t + 20 = o, -4*t + n*o + 4 = -o. Let p(l) = -160*l**3 + 152*l**2 - 149*l**2 + 27 + 4*l + 0*l + 159*l**3 - 26. Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 588?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(4\/3)\/u)\/u)*u**(-9))**(-2\/45) assuming u is positive.\nAnswer: u**(44\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -53. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -839, -2271, -4745, -8537, -13923, -21179, -30581?\nAnswer: -42405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 838229597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:53 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*a = -13, -2*v + 16*a - 19*a + 1 = 0. Let j be ((-6)\/2)\/(6\/(-4)). Let u = j + -9. Is u less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 + 3190*w - 99402. Determine o(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3183 and 38.\nAnswer: -120954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/25, 1\/2, 23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14665766 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-474)\/94)\/(9 - -10 - 17)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 30 = -2*b, -4*b - 57 = -4*j + 51. Let n(w) = -2*w**2 - 68*w - 32. Is n(b) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, -3, 2, 1\/7, -0.132, 3.\nAnswer: -198, -3, -0.132, 1\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*s - 165 = 93, c = 4*s + 147. What is the remainder when c is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.89 and 32.19201.\nAnswer: 35.08201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -77240?\nAnswer: -1\/38620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((0 + sqrt(162))*-1 + 2 + -1*sqrt(162)))**2 - ((sqrt(162) + -2 + sqrt(162))**2 + 2 + (4 + sqrt(162) + 0 + sqrt(162))**2).\nAnswer: -360*sqrt(2) + 1290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 903013584 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 131014.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9 - (-354)\/(-9). Let l = t + 21. Let y be (l\/(-21))\/(2\/(-2 - 26)). Which is smaller: y or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 4794*a - 9 - 2 + 4794*a + 11.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107739, -107591, -107189, -106407, -105119?\nAnswer: -103199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*y = -4*m + 1, 2*y = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75144 - -1025144. Suppose 2*v = -2*v. Suppose v*p + w = p. Round p to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 - -92. Let j = n + -68. Let m = j - -166. Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*g**4 + 2\/11*g - 2\/11*g**3 + 2\/11*g**2.\nAnswer: -2*g*(g - 1)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 44*m**2 - 66*m + 223. Calculate u(45).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/(-36))\/((-2)\/(-4)). Let x(t) = t + 7. What is x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, -1, 7 in increasing order.\nAnswer: -1, 7, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 49 + 54 = -62 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (184\/3)\/(2\/(-102)). Let o be 1488469\/(-102)*6\/28. Let c = o - w. What is the common denominator of c and 113\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -3\/470, -3, 0.5, -2 in increasing order.\nAnswer: -3, -2, -3\/470, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1335.7974 months?\nAnswer: 11.131645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.4, 0, -24.3, 671, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1374 and -79\/11946.\nAnswer: 2735634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/3 + 53838328*c**2\/3 - 724641390458896*c\/3 = 0. Calculate c.\nAnswer: 0, 26919164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6244 + 8318. What is the highest common divisor of 170 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5 + 4*g + 5*g**2 + g + 2 - 3*g. Let y(p) = -4 - 7*p**2 + 13*p**2 + p + p. Calculate 4*s(o) - 3*y(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 1. Let j = 37458 - 37454. Solve c + y = 3*k - 0, -3*k + j*c - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = a - 5*m, -9*m + 11 = -5*a - 12*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -8. Suppose -v - 48 = k*t, 2*v - 4*t + 96 = -0*v. What are the prime factors of (-8)\/v - 17\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 92 = 4*s. Let k be 3 + (1 - s) + -1. Let t = k - 23. Solve 15 = 3*a + h + 2*h, -t*h = 5*a - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4330.85356 and 2.\nAnswer: -4328.85356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 2*i**2 + i + 6. Let f(b) = b**3 - b**2 + 1. Let s(u) = 4*u**3 - 6*u**2 + 2*u + 13. Let c(t) = -f(t) + s(t). Determine -2*c(k) + 5*q(k).\nAnswer: -k**3 + k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((4 + sqrt(208) + 0)*2 - (4 + -5 + sqrt(208)*2))*-3)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 40 (b) -2\/3 (c) 0.03 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 12*i**2 + 15*i - 7. Let o be u(10). Let g = o - -55. Let d = -30 + 61\/2. What is the nearest to g in -1, -5, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364152 (base 8) in base 13?\nAnswer: 44bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1390*5*10\/(-125)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 6*s**5\/5 + 15*s**4\/8 + s**3\/2 + 226. Factor a(d).\nAnswer: 3*d**2*(d + 1)*(4*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242*q**3 + q**2 + 57*q - 97684 with respect to q.\nAnswer: -726*q**2 + 2*q + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4433322 (base 5) to base 13.\nAnswer: -29280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(12\/5)\/k)\/k**5)**(1\/46)*(k\/(k**0\/k*k*k))\/k**(-1)*k**(-9)\/(k**(2\/19)\/k) assuming k is positive.\nAnswer: k**(-31297\/4370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) -0.6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -39, 3, -19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 2\/5, -1, -78 in decreasing order.\nAnswer: 2\/5, -1, -78, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let b(j) = -2*j**2 - 15757. Calculate i(b(s)).\nAnswer: 2*s**2 + 15757","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.95 - 0.05. Let o = 377.3 - -69.7. Let f = 447.2 - o. Which is the closest to p? (a) 0.1 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p**2 + p**2 - 14*p**2. Let b(m) = -14*m**2. Give -2*b(s) - 11*r(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 - 27 = -7*t, 0 = 3*i + t - 10. Let x(f) = 7. Let u(s) = -s + 6. Calculate i*x(w) - 3*u(w).\nAnswer: 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 - ((-8 - -19) + -21 + 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/5808135 and 92\/6491445.\nAnswer: 110354565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**7\/98 + 7*l**6\/30 + 43*l**5\/70 - 35*l**4\/3 + 100*l**3\/7 + 465*l. Solve o(d) = 0 for d.\nAnswer: -10, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -144*i**3 + 2*i**2 - 2*i + 1. Let p be w(-2). Suppose 0*s - 2*s - 3*b + p = 0, s - 2*b - 579 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -11100?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-120)\/63 - -2). Let l(g) = g**2 + 38 - 18 - z - 3*g. Determine l(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-16632)*-11)\/(-1 - (-13)\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1596 divided by -4?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/67)*v**(4\/15)*v assuming v is positive.\nAnswer: v**(1243\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51323 (base 9) to base 10.\nAnswer: 33798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10 = 2*g. Suppose -4*v - g = 7. Let b be 1 - (3 + 4*v). Which is bigger: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000475151654 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -25, 4*k + k - 15*g - 155 = -2*k - 18*g for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3 = -7*u + 4*u, 3*h - 3*u + 21 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51805767 is divided by 26773?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1372*w + 257. Let y(j) = -51. Give -f(k) - 5*y(k).\nAnswer: -1372*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 14. Let r(j) = -b + 5*j**2 + 4 - 2*j**2. Let l(w) = -3*w - 2. Let a(o) = 10*o + 7. Let c(x) = 4*a(x) + 14*l(x). Determine r(c(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/14)\/(0 - (-3)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3993)\/484*144\/(-3762)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**2 - 8*f**2 - 2*f**2 - 3*f**3 + 1. Let u be p(-1). Solve -8 = -u*b - 3*i, 0 + 1 = -5*b + 3*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q. Let o(h) = -60*h - 35. Let f(p) = 5*p + 3. Let m(u) = -35*f(u) - 3*o(u). Determine m(c(v)).\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, -39, -41 in decreasing order.\nAnswer: 3, -2, -4, -39, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/2)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 - 4*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/39 - ((-55)\/(-33) - 3)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 20*g - 4780. Let n = g - 474. What is the smallest common multiple of 63 and n?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210 - -213. Is 1*q*60038\/66 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -3*(sqrt(78) + sqrt(78)*4) + sqrt(78) + sqrt(78))\/sqrt(6).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 5 + 2 - -5) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36930000 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/70)\/((-14)\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 16. What is c(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 10. Suppose -k*u + 200 = u. Suppose 4*r + 35 = 5*w, -4*w + 19 = 3*r - u. Calculate the remainder when 42 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -8 + 1 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14718272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/4 of a year?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0732 - -30.8698. Let o = d - 31. Let p = o + 4.957. Round p to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/35 + 8468\/10. Let t be (g\/14)\/(2\/4). Let i = 11 + 0. What is the greatest common factor of t and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 bigger than 17993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 6\/(-10))\/(86\/(-215)). Solve -3*g - g = -b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/(i*i*i**(-2\/13)*i))\/i)\/i))**(2\/37) assuming i is positive.\nAnswer: i**(126\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.9 + -11.88. Let p = -0.8654465 + 0.84545. Let k = p + u. What is k rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let i(u) = 2*u**3 - 3*u**2 - u + 3. Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c**3 - 22*c**3 + 17*c**3 + c + 1 to the form o + k*c**3 + h*c**2 + m*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*(-1 + 2*sqrt(2448))*6 + 2)*2)**2.\nAnswer: -14976*sqrt(17) + 1410724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -25\/12*n**4 + 0*n**3 + 76*n**2 + 0*n - 31\/120*n**6 + 0 - 1\/60*n**5. Find the third derivative of s(p) wrt p.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000287 rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:40 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 5*l - 3. What is the tens digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2922.\nAnswer: 1\/974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 6. Let c be s(-3). Suppose -h - c*h = -812. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/(o\/(o\/(o\/(o*o**33*o*o)))))\/(((o*o*(o*o*o**35)\/o)\/o)\/(((o\/(((o**(10\/3)*o*o)\/o)\/o)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2099, 8467, 19079, 33935?\nAnswer: 53035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhtttbhthhbbhbhb. What is prob of sequence hh?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*j**5 - 105*j**2 wrt j?\nAnswer: -2400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:25 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/217 + -10\/31. Let y = -0.466 + -0.144. Let f = y - -0.21. Sort f, k, 3\/7, -5.\nAnswer: -5, f, k, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -20662?\nAnswer: 20661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22.56804 months?\nAnswer: 0.0188067","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Solve 2*j = -m*c + 17, 2*j - 5*c + 19 = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -11. Suppose 5*q = -4*p + 13, 4*p + 7 = -5. Suppose c = q*j - 5. Solve -j*w + 4 = -4*f - 1, -5*f - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 93 - 9 = 0. Suppose i + 2*i = s. What is the remainder when 53 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -69. Suppose -j*x = -14*x. Solve 8 = -2*o - x*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6. Let l be z + 20\/(-8)*-2. Solve -w = -4*r - 19, 4*w = -r - l*r - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/56*(-832)\/(-78)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*(b*b\/(b\/(b\/b**(-1\/2))))\/b))**(-24)\/((b*b*b**4\/b)\/b*b*b**(-7))*(((((b\/(b*b*b**2*b))\/b)\/b)\/b)\/(b**(2\/3)*b))**(-30) assuming b is positive.\nAnswer: b**346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let l(k) be the second derivative of 5*k**3\/6 + 3*k**2\/2 + 2*k - 7. Calculate s(l(j)).\nAnswer: -50*j**2 - 60*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 5*i + 3. Let q(h) = h**2 - 32*h + 89. Let r be q(3). Suppose 2*k - 36 = -2*k. Suppose d - k = -r*d. Determine g(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*z = 68, z + 4*z = -2*t + 154. Calculate the greatest common divisor of t and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 180, 412, 750, 1200, 1768?\nAnswer: 2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1054378 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u**2 + 1. Let d be g(1). Suppose -3*c + 8 = j, 2*j - c - 2*c + 2 = 0. Let q = j + d. Let k(r) = -r**2 + r + 1. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -189, -291, -397, -507?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15 = p. Let v be (50\/15)\/(2\/p). Solve x = v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -34*v**2 + 25*v - 28. Let t(m) = 6*m**2 - m + 1. Calculate 6*t(i) + y(i).\nAnswer: 2*i**2 + 19*i - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, 54, 98, 156, 234?\n\"Answer: h**3 - 2*h**2 + 35*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3568 divided by 1521\nAnswer: 3568\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -18, -4, 46, 144?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*a = -40, -4*q - a - a + 34 = 0. What is the lowest common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - -23. Suppose 4*h + 10 = c. Suppose -h = z - 26. Solve 5*y + 5*s + z = 0, -5*y + 0*y - 23 = -3*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150132?\nAnswer: 2, 3, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -31. Solve 0 = -l*i + o - 7, -8 = 4*i + 2*o - 4*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 2 + -7 - -13) + -3 + 9 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1428)\/(-30))\/7*(-90)\/135*450\/24.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 61 = -3*m, m + 30 = 2*s - 3*m. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 13. What are the prime factors of n(14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149749*9.\nAnswer: -1347741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {b: 5, n: 4, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(1 + (5 - 1)). Suppose 101 = s*w - 44. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-18)*-1*6\/(-44)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812061 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 174*i**2 + 3060*i - 6832.\nAnswer: 2*(i - 2)*(i + 28)*(i + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f + 3*l - 11 = 0, -4*f = 4*l - 12. Let p = 27 - 9. Suppose 3*v = -5*m + p, -f*v - 7 = -2*m - m. Solve -g - 1 = m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m + 62 wrt m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 - 44*s + 20. Let i(x) = -2*x**2 + 9*x - 4. Let r(c) = 11*i(c) + 2*u(c). Let d be r(5). Is -45 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/5))**(-50)\/(r\/r**(-4\/3)*r*r**(-3\/4)))\/(r**6\/(r*r\/(r*r**(-1)))*r**2\/(r*(r*r**6)\/r)) assuming r is positive.\nAnswer: r**(-979\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m - 87. Let v be h(0). Let u = v - -117. Let t = u - -99. Is t a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6883, 54398, 183377, 434554, 848663, 1466438, 2328613?\n\"Answer: 6789*l**3 - 2*l**2 - 2*l + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2647.189kg?\nAnswer: 2647189000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 - 5*d**2 - 4*d - 6. Let o(x) = 2*x**3 + 2*x**2 + 2*x + 3. Let j(p) = -7*o(p) - 3*q(p). Let z be j(-2). Is -3 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11 + 39*n - 20*n + 10 - 18*n. Let f(w) = -1. Determine -7*f(s) + 3*r(s).\nAnswer: 3*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*l - 192, -17*y + 15*y = -2*l - 384. Sort 5, 4, y.\nAnswer: 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7417 = -12*i - 6589. Calculate the highest common factor of i and 9269.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3214585 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 193 - -2 - (-4)\/4. Suppose -192*x = -s*x + 4728. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11811 is divided by 1471.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 4*r**2 - 2*r**2)*(-2*r + 2*r - r**2) + (-3 + 3 - r**3)*(-12*r - 6 + 6).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 5. Let k(z) be the first derivative of 3\/2*z**2 - 2*z + 14. Calculate -9*k(g) + 4*v(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -1691*m**3\/5 + 1689*m**2\/5 + 3384*m\/5 + 4\/5 = 0.\nAnswer: -1, -2\/1691, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1867*m + 1881*m - 42 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 83923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40260814 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 972?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 215. Let n = s + -103. Suppose 0*p + n*p + c - 5 = 0, 0 = 3*c - 3. Let l(k) = 4*k - 3. Determine l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46497250 divided by 381125?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q**4 - 1029910*q**3 + 24135027271*q**2 - 1304668033916*q + 236414523852 = 0 for q.\nAnswer: 2\/11, 54, 46787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100011100001 + -110?\nAnswer: -10011100011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-4)\/(-1))\/2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -23. Suppose -3*z - 3*z + 402 = 0. Suppose 63*y - z*y + 56 = 0. Solve 2*a - k = 4*i, -2*a - y = -i + 3*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 6*f = 3*f - 4, -5*o + 4*f - 36 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*81\/162?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 577*b**2 + 63*b - 3.\nAnswer: 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4044 = -211*v - 51*v + 16654 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 1) + -609 + 636 + -27 - (0 - 4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 2 - 1 - 2 + 3. Let x be d(-3). Sort 2, -5, x in ascending order.\nAnswer: -5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433576090 to the power of 1\/3, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -90*p**2 + 810*p + 897. Give x(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**2 - 40*t**2 - 3*t + 20*t**2 + t.\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5 = -d. Suppose h = s, -h - d = -3*s - 1. Suppose 0 = -0*f - s*f + 36. Calculate the least common multiple of 2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1507935 + 3?\nAnswer: 1507938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-7))\/((-33)\/231). Solve -15 = v*m - 8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/15)\/(186\/(-170) - -1) and 42\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/142712 and 81\/570848.\nAnswer: 570848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54650563?\nAnswer: 11, 17, 292249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30.6? (a) 1\/4 (b) 2\/5 (c) 4\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38.5, 2\/161, -0.04, 0.4 in decreasing order.\nAnswer: 38.5, 0.4, 2\/161, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3478*j**2 - 3 + 2 - 5 + 13 - 5.\nAnswer: 3478*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.6*78315.\nAnswer: -986769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 59*i + 37*i + 67 = 0, 2 + 5 = v + 2*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huhh when four letters picked without replacement from {u: 4, h: 10}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 48 - -95 - 49\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-4) + -4 + (-7 + 7)\/(-9). Solve -5*h = 15*w - 18*w - 32, c*w = h - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552945600247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u + 10. Let i(w) = -8*w - 32. Let r be i(-11). Suppose 6*y - r = u*y. 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 -10 less than 7.8?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144538896 to the power of 1\/2, to the nearest integer?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.37 (b) 398 (c) -1 (d) -2\/67 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*o = o - 36, -s + 5*o = 4. Suppose s = d + 1. Suppose 4*u + 2 = d. Solve -2*b = -3*b - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26707 > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 327121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.1 (c) -3 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqii when four letters picked without replacement from njniinjynqni?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77331424*w**3 + 1197831*w**2 + 2*w wrt w.\nAnswer: 463988544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/10)\/((-9)\/(-45)). Suppose 3*o = u - 16, u + 6 = -b*u - 2*o. Let n be (-1 + (-20)\/(-3))*6. Solve 0 = -3*c - 5*d - n, -2*c - u = -d - 0*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 150.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 2*o - 264. What is the remainder when o is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(600))\/sqrt(432) - (-2 + ((-6*sqrt(242) - sqrt(2)) + sqrt(2))*-1))**2 + 3.\nAnswer: -782*sqrt(2)\/3 + 153007\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5, 4*f + 0*j = -j + 33. Calculate the remainder when (22\/f)\/(-1*2\/(-8)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**3 - 4*v**2 - 4*v - 40. Let o(p) = -27*p**3 - 15*p**2 - 15*p - 159. Give 15*f(h) - 4*o(h).\nAnswer: 3*h**3 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 507575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4354 = -0*g. Is 34 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 134808334 and -0.03.\nAnswer: 134808333.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + ((-42 - -43) + 6 + -1 - -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z = -t - 84, -21 = -z + 2*t. Suppose 0 = -2*l - 3*d + z + 16, -l = -d - 26. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8\/14 - (-66)\/56)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 150 or -0.3?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -64*g**2. Let l(r) be the second derivative of -5*r**4\/12 - 152*r. What is t(l(k))?\nAnswer: -1600*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5 + 28*g**4 - 118*g**3 - 2048*g**2 + 440*g + 7744 = 0.\nAnswer: -11, -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 + -7 - (-5 + -4)) + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.8948 to one decimal place.\nAnswer: -33.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659 = -25*l - 484. Solve -4*z - l*n - 36 = -11*n, -n - 15 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0*z - z + 8 + 2. Let o be -11 - -8*2\/4 - 5. Is d(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70147 and 16398?\nAnswer: 1262646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -44. Let g be ((-6)\/9)\/((-6)\/q). Suppose -y - y - 4 = -g*l, l = 5*y - 13. Solve l*f = 5*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t + 4680. Is (-2)\/(-10) - t\/50 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000319 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -972 + 373. Round q to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 2}. Give prob of picking 2 w and 1 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 15*g**2 + 51*g - 3. Suppose -z - 208 = -17*z. What are the prime factors of j(z)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*u - 46 = -6*z, 3*z - u = 22. Let n(m) = 2*m**3 - 7*m**2 + 2*m + 3. Let o be n(-5). Let r = z - o. Round r to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2631128 divided by 657782?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*q - 5*p, 5*q - 3*p = 0. Solve -8 + q = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 < 172476\/2591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 8*l + 190. Suppose 14*n - 51 = l. Solve 5*y = -3*s - 17, 9 = y - 2*y + n*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9437 + 9438 = -9*w + 18875 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 74*o\/3 + 1369\/3 = 0. Calculate o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 90 = -u, 2*u - 18 = -g - 0*u. What is the smallest common multiple of 20 and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Let q = 407\/7 - 58. Let o = 0.3213 + -3.3213. Which is the nearest to -0.1? (a) o (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-4*g + g + g) + 35*g - 8*g - 16*g + (3*g + 2*g - 4*g)*(0 + 3 - 1) + 4*g - 3*g + g + 3*g - 4*g + 3*g in the form l + f*g and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*g**3 + 212*g**3 - 100*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**6 - 1218681*z**5 + 29227*z**2 + 133 wrt z?\nAnswer: 120*z**3 - 73120860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -20. Let h be (-19)\/(-5) + 3\/15. Suppose m + 31 = h*a, 5*a - 4*m - 47 = -0*a. What is the remainder when y is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 33 + 27)*(-z - 3*z + 2*z - 2*z - z + 2*z + (0*z - 4*z + 6*z)*(3 - 6 + 2)).\nAnswer: -250*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 18, 28, 42?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 26, 5, 1\/3, -3\/8, 10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (518\/(-555))\/(3 - 76\/20)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = -3*t - 5*r, 3*t - 16 = r. Let p = 4 + 18. Suppose -k + 18 = -2*b + 3*k, -5*k + p = -3*b. Solve 3*f + 4*c + 13 = -b, f + t*c + 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 225 = 5*f - 0*o, 0 = -2*f - o + 90. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2*1 + sqrt(228))\/(sqrt(12) + (-2*sqrt(36))\/sqrt(3)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.692519 to 2 decimal places.\nAnswer: -16.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1031925)\/17580*(-1)\/10. Let v = a - 3\/586. Calculate the common denominator of v and -67\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -790 - -1277. What are the prime factors of g?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -1022, -1013, -988, -941, -866, -757?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7199 is divided by ((-2)\/2 - -101) + 4\/(-6)*6?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/44 and 41\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1578 by 3435.\nAnswer: 526\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -258 at least -258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - -18) + 35 + 1 + (-4 - 26)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 6, 0 = -4*k + 2*k - s - 350. Let z = -182 - k. Is -11 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1059)\/(-6)*-2. Let x = 3712 - 1859. Suppose -o = -3*d - x. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**2 + 15*u - 140*u + 61*u + 132*u**2 + 64*u.\nAnswer: 178*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25634671177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 689736 - 689982.0127. Let a = -246 - m. Round a to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 2*y + 4. Let a(x) = 339*x**3 - 2*x**2 - 21*x + 8. Determine -a(v) + 2*n(v).\nAnswer: -339*v**3 + 17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a factor of 1052516340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 6 + 2841*i - 293*i to the form n*i + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1eee (base 15) to base 2.\nAnswer: -1101001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60761 * -1.65\nAnswer: -100255.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7731 = 11*d + 7610 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = -5*o - 12, -38 = 3*o - 5*u. Let w(x) = x**3 + 7*x**2 + 3*x + 1. Let c be w(o). Let s = c - 16. Solve -2*h = s*h + j - 26, h - 2 = 3*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 132. What is the nearest to -2\/7 in 7, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 384 - 113 - 28 = 0 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 - 140*f - 92. Let t be k(24). Let q = 37\/4 + -9. What is the smallest value in q, 3, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163544 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-212)\/(-5) - 2\/5.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110001111011 (base 2) to base 10.\nAnswer: -40059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 5.5. Let r = o + -4.5. Let u be ((-4)\/(-6))\/(1\/(-3)). Which is the closest to -1? (a) -1 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477321*s**2 - 3 - 19*s**3 + 3 - 477322*s**2.\nAnswer: -19*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1527 - 1528. Sort 8, -8, x in descending order.\nAnswer: 8, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.536 - -11.4. Let q = 0.7 - 0.736. Let i = q - t. Which is the closest to -0.2? (a) i (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 6. Let w = -75 - -112. Let s = -33 + w. What is the nearest to s in z, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32480 + 95879. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 u when three letters picked without replacement from otuttttdoododtot?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42291 divided by 111.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -3\/5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2\/5*u**3 + 3286064\/5 + 708\/5*u**2 - 83544\/5*u = 0?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = -10. Let i(d) = -d + 1. Let w(z) = -11*z + 4. Let y(s) = -5*s + 2. Let b(r) = -4*w(r) + 10*y(r). Give u*i(q) + b(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420 is divided by 715.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/87047 or -1?\nAnswer: -1\/87047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/215544 and 125\/672.\nAnswer: 862176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1.6, -0.2, 3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5303*w**2 - 41774*w - 339405718?\nAnswer: 10606*w - 41774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, -6, -4, -5 in decreasing order.\nAnswer: -4, -5, -6, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -86, -120, -58, 148, 546, 1184?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 5, -1\/903?\nAnswer: -1\/903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1584) + 0)*-4 + 1*sqrt(1584)*1)**2 - (sqrt(11) + (sqrt(77)*-1)\/sqrt(7) - (-1 + -3*sqrt(11)))).\nAnswer: -15*sqrt(11) + 71275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 10. Let c = v + -6. Suppose -4*p + 5*x + 1 = 0, c*x - 5 = 1. Solve 22 = 5*g - 4*h, -2*h - 6 = -p*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(20)\/(-5*sqrt(4)*-1).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264.062484 nanoseconds to days.\nAnswer: 0.00000000000305627875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**7 - v + 0*v**3 + 0 + 0*v**2 + 0*v**5 + 0*v**6 - 1\/4*v**4 + 1\/14*v**8. What is the third derivative of c(r) wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.56, -5, -0.5 in increasing order.\nAnswer: -5, -0.56, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -48. Suppose 5*m + 6 = z. Suppose m*x + 14391 = 3*n, -3*n + 8120 + 6292 = 4*x. Round n to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -95*s**3 + 39*s**2 + 48*s + 5. Suppose -5*o - 6 - 9 = 0. Let u(t) = 191*t**3 - 79*t**2 - 96*t - 11. Let n(p) = o*u(p) - 5*g(p). Factor n(a).\nAnswer: -2*(a - 1)*(7*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -105. Suppose -10 - h = 5*v. Let t = 2.11 + -2.06. Which is the second biggest value? (a) v (b) t (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615233.\nAnswer: 615233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 - 21?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 2*c + 7*i, -2 = 2*c - 4*i. Let o = 2 - c. Let w(n) = n - 3*n**o - 3*n**2 + 2 - 3*n + 4*n**3. What is w(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3776131.\nAnswer: 43, 137, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -387, -1556, -3503, -6228, -9731, -14012?\n\"Answer: -389*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxl when three letters picked without replacement from gayxygtxl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 6*q - 13. Calculate r(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*b = 129*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/7))**(-35)*l**(-3\/11)\/((l**(4\/9)*l)\/l) assuming l is positive.\nAnswer: l**(-4031\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8542, -12155, -15768, -19381?\nAnswer: -22994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 734142948 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: Suppose 0 = -2*j - 4*w, 2*j + 5*w + 15 = 7*j. What is the second biggest value in 1\/7, -5, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 17 + 18. Let g(d) = d**2 + 7*d + 6. Let r be g(a). Solve 0 = r*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/12)\/(2\/(-666)). Let q = -13 + j. Let u = 38 + -24. What is the highest common factor of u and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from szflpls.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -6 - (0 - 17). Suppose -4*t = -t - q. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/(-2178)*6\/11.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-2) - (-1)\/(-2). Let f be (10*(-1)\/(-35))\/((-2)\/(-826)). Let w = f + -41. What is the highest common divisor of a and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:12 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4527361 years to decades.\nAnswer: 0.04527361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/33)\/((-68)\/102*2\/(-4))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 851\/2 - 394. Calculate the common denominator of -75\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17458 and 370531?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-2470)\/(-50) - 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 483327679*g**2 + g - 571144692.\nAnswer: 966655358*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*c + c + 157, -162 = -2*c + 2*z. Suppose -5*t + c = 5*i, -2*t + i + 18 = 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143\/165 - 109\/1635.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -132786*r + 929354. Determine n(7).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/2)*x)\/x)**(-43)\/(x**0)**20)**(13\/3) assuming x is positive.\nAnswer: x**(-559\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + m - 4*m**2. Let r(n) = -526*n + 526*n + n**2. Calculate d(r(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 8117*o + 8111*o + 8109*o - 24401*o as g*o + k and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**3\/6 - 19*o**2\/2 + o. Let x(p) = 48*p + 49*p + 42*p - 185*p + 48*p. Give x(i(r)).\nAnswer: 2*r - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177195877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127755*n + 127989*n = 13338 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 1.3. Let q = -958.43 + 952.43. What is the nearest to -1\/4 in q, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143\/12 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136 - -5?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5809 - 1368 = 253*m - 2137 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 120 = 3*r. Let t(q) = 229*q**3 - q. Let k be t(1). Let m = k - 108. Calculate the greatest common divisor of m and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = c + 4. Solve 7 = -5*v - 3*r + 2*r, 2*v - 11 = -c*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = -204. Suppose -2*a - 9 = 33. Let u = a - o. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23437 - -562385\/24. Let v be 3\/(-27)*1*-4. Let g = -281\/36 - v. Calculate the common denominator of g and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35910435?\nAnswer: 3, 5, 11, 103, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) 2484 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7116693 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -275439, -275442, -275445, -275448?\n\"Answer: -3*i - 275436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2197 (c) -0.1 (d) 16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 242 = -1738. Let n = h - 185. Solve -2*r - 46 = 4*d - 16, -3*r = -n*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**4 + 12*y**3 - 10*y**2 - 9*y + 11. Let c(v) = 9*v**4 + 48*v**3 - 40*v**2 - 35*v + 44. Let i(r) = 6*c(r) - 26*s(r). Factor i(f).\nAnswer: 2*(f - 11)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:14 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 10) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24276, 24043, 23810, 23577, 23344, 23111?\nAnswer: 22878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 476944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 66\/64)*6274. Let d = o - 196. What is the common denominator of d and 59\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78176486417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 4 + (-20)\/(-4). Suppose -2*q - 6 = l, -3*l - 15 = 5*q + 2*l. Is q bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 13*b**4 - 12 + 10 + 28*b**4 + (b**2 + b**2 - b**2)*(4*b**2 - 2*b**2 - 4*b**2) + b**2 - b**4 - b**2.\nAnswer: 12*b**4 + 3*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0119501 to 4 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.0817 (b) -0.08 (c) 2 (d) -1 (e) 0 (f) 5 (g) -182\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -206, -463, -824, -1289, -1858, -2531?\n\"Answer: -52*d**2 + 3*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h - 9. Let m(d) = -8*d - 8. Let f(y) = -y**3 - 4*y**2 + 10*y - 11. Let l be f(6). Let x = l + 304. Give x*m(w) + 6*b(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (-2*(-6*(sqrt(77) + sqrt(77)*1))\/sqrt(11))**2).\nAnswer: -16120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 28*d**3 + 2 - 10*d**3 + 1480*d**2.\nAnswer: 11*d**3 + 1480*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 279*x + 9582. Give l(-35).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9 and (25\/125)\/((-2)\/(-118)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242985717 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*k - 0*s - 2*s + 4*s + 300, -4*k - 25*s = -255 for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874\/(-34)*(-204 + 205) - (728\/(-119) + 6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2290, -2210, -2130?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:27 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 319959, 639646, 959333, 1279020?\n\"Answer: 319687*d + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 44. Let q be 2\/16 - (-123)\/(-24). Let u = q + h. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6 - 6. Suppose b = -k + 4*k. What is the second derivative of -4*l + k*l**5 - l + 3*l wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 80 = -19. Let i = 56 - 39. What is the remainder when a is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s = -46. Let f = s - 21. Suppose 3*g + 4 = -p - f*g, -4*p + 5 = -g. Solve -v + p = -3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -42. Let d(o) = o**2 + 4*o + 7. Let n be d(s). Let i = n + -1. Calculate the remainder when 51 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272716 + 4118*k - 272716)*(2 + 1 - 1)*(3 + k - 3).\nAnswer: 8236*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m + 1. Let i(u) = -18*u - 19. Let y be i(3). Is 3 + (m + -1)*y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*m - 3 = -1, -5*p - 5 = 5*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -2 - (((-144)\/312 - 28\/52) + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvf when four letters picked without replacement from vvfvf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/(-30) - (-4)\/10. What is the units digit of (-283)\/(-1) - (-8)\/(1 + n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y - 197120 = -51*y. What is y rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*t, -15 = 18*t - 15*t. Let x(g) = -10*g**3 - 3*g**2 + g + 1. Calculate x(i).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 63, 265, 685, 1401, 2491, 4033?\nAnswer: 6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -282. Let h = r + 198.000206. What is h rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 + -238. What is the common denominator of 77\/4 and h\/266 + (-3)\/((-504)\/367)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -40. Solve 3*f = -2*u - 7, -7*f + 5*u = -d*f - 28 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 90 = 6*b. Let v = b + -43. Solve -x - 16 = 5*z, 2*z + x = 3*z + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 400.6471.\nAnswer: 400.6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 38.34. Let d = i + -2.4. Let v = -32 - -161\/5. Is v bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/5 - 78*l**2\/5 - 153*l\/5 + 224. Suppose h(t) = 0. What is t?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 3*y + 2. Suppose 2*q - 5*q = 6. Let b be z(q). Suppose f - 2*f = -2*t, -b*t + 10 = 3*f. Solve 6 + 2 = -f*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.00042 + 7. What is w rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65, 71, 87, 119, 173, 255, 371?\n\"Answer: a**3 - a**2 + 2*a + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 16171472. Suppose -2*z - 2*z - f = 0. Let k = -7042868 - z. Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 1. Let i(r) be the second derivative of -5*r**4\/4 - 220*r + 1. Calculate i(y(q)).\nAnswer: -240*q**2 + 120*q - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5966, -5974, -5984, -5996?\n\"Answer: -w**2 - 5*w - 5960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + k. Let r be h(3). What is the greatest common factor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 + x**2\/2 + 29*x\/4 - 15\/2.\nAnswer: -(x - 6)*(x - 1)*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154.7 + -155. Which is the fourth smallest value? (a) -2 (b) 4 (c) 1\/4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (678\/791)\/((-6)\/(-14))*1071\/1190\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r**2 - r + 8. Let d(v) = -3338*v**3 + 9*v**2 - 6370*v + 72. Let n(z) = -d(z) + 9*y(z). Find the second derivative of n(h) wrt h.\nAnswer: 19974*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 1.1\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**3 - 3*x**2 - x + 2. Let f be v(2). Suppose 5*t - f + 11 = 0. Solve -5*p + 2*c - 12 = 0, -p - c = 2*p + t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6112951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + x = 2*x + 8, l - 4*x - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x - 18*x + 3 - 4. What is the remainder when v(-1) is divided by 4\/46 - (-4100)\/460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1494081 * -3\nAnswer: -4482243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1386 and 414.\nAnswer: 31878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:13 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2036 + -2?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 2*i - 7*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002069 to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 0*w - 266*w**3 - 7*w + 268*w**3.\nAnswer: 2*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p - 2*j - 27 = 40*p, 5*p = -4*j - 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4845, 2899, 953, -993?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2029, -4039, -6027, -7993, -9937, -11859?\n\"Answer: 11*y**2 - 2043*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*d + 9 + 7 = 0, -x = 5*d + 20. Suppose x = 13*u + 7*u - 1060. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9353 - -16292. What are the prime factors of b?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 636047, 0.5, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ooktk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-476*i - 3192 + 3192) + (-1 + 2 - 3)*(-1 + 3*i + 0*i + 3).\nAnswer: -958*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z - 18. Let x be d(-7). Suppose 2*m - x = y, -4*m - 17 = -2*m + 3*y. Let a be m*((-20)\/5 + 6). Let c(n) = -9*n. What is c(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:49 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -15092?\nAnswer: -45276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 294278, 1, 2 in increasing order.\nAnswer: 1, 2, 4, 294278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2632 = -c - 5*s, -2*c = -3*s - 5285. Let o = 7313 - c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)\/(22\/4). Let f be 7\/(-2)*245\/(-1715). Which is the third biggest value? (a) 29 (b) -3\/4 (c) f (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:37 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1040 + -32. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 2*d**2 + d - 2. Let i(g) = 308*g**3 + 11*g**2 - 5*g + 10. Give -i(j) - 5*t(j).\nAnswer: -303*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-15))\/((-2)\/(-84)). Let b = 94\/15 + m. What is the biggest value in -0.5, b, -13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u + 8*u - 17*u)*(-u - u + 4*u)*(u**3 - 5*u**3 - 4*u**3).\nAnswer: -480*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -4, -1, 3, 2 in increasing order.\nAnswer: -4, -1, 2, 3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4403.6514ns to days.\nAnswer: 0.0000000000509681875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40308069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let n(h) = -h + 0*h + 0*h + 1 - g*h. Let z be n(2). Put z, 3, -3 in descending order.\nAnswer: 3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8485030?\nAnswer: 2, 5, 509, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12656 + 12788. Let g be -2 - 0 - 4\/(-2). Suppose q + 5*q - p = g. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8.3. Let k be (-6 + -2)\/((-15)\/30). Let o be k\/28 - (-185)\/(-140). Which is the closest to 2? (a) o (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (35 + (-4 - 49))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4652609.\nAnswer: 13, 317, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 90\/8*100268\/53715\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 70*c**2 + 3*c + 4. Let z = -69 - -67. Is g(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -3, 9, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -26*d + 28*d + 29, -3*b - 33 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-1824)\/(-95)) + 5576\/105 + (-66)\/(-693).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (10 + -2)\/(-2). Suppose -3*t - 2 - 1 = h, 4*h - 39 = r*t. Suppose 0 = -n + 3*g + 21, 3*n + h*g - 21 = g. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 23. Let f(m) = -m**2 - 13*m. Calculate the least common multiple of y and f(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5*y - 2*y**3 + y**3 - 2 in the form d*y**3 + w*y**2 + v + q*y and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -28*r**2 + 3*r - 9. Let q(v) = 57*v**2 - 5*v + 15. Let i(p) = -5*k(p) - 3*q(p). Let c(h) = 14*h**2. What is i(c(x))?\nAnswer: -6076*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-8)*g))\/g)\/g*g**7\/g)\/(g*g\/(g**(-1\/4)*g))**(-7\/5) assuming g is positive.\nAnswer: g**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j - 1. Let x(h) = -h**2 - 4*h + 4. Let g(s) = 4*t(s) + x(s). Let q(f) = 5*f**2. Determine g(q(b)).\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g = 23*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + (-4)\/6*-6. Let g(k) = -3*k**2 + 6*k + 9. Let q(h) = 6*h**2 - 4*h**2 - 5*h - 9 - 2*h. Let x(d) = -3*g(d) - 4*q(d). Calculate x(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-385)\/(-98))\/((-48)\/56)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:08 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -157 and 275.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**24)\/c)**(-46)\/(c*(c\/c**26)\/c*c)**(-4\/3) assuming c is positive.\nAnswer: c**1072","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1479 divided by -132.\nAnswer: -493\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/1*(1 + -1). Suppose -l = -8*i + 3*i - 30, q = -5*l - 5*i + 30. Let x be l\/(-72) - (-7)\/28. Sort 1, 0.5, 2, x in decreasing order.\nAnswer: 2, 1, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -12, -18, -0.4, -10.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*o - 56411, 2*g - 4*o = 43530 + 12878. Let i = -30670 - -16472. Let z = g + i. What is z rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + 5. Let t(h) = -8*h**x - 1 + 6*h**2 + h**3 + 3*h**2. Let l be t(0). Are l and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -373, -2159, -5145, -9331, -14717, -21303, -29089?\n\"Answer: -600*g**2 + 14*g + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pafffgq. What is prob of sequence ap?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 2*d**2 - d - 2. Suppose 0 = -2*q + 4. Let f be a(q). Let x be (-24)\/32 + 1\/4. What is the smallest value in x, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 213122.\nAnswer: 1065610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*l + 17 - 38 - 53 = 8*l, -53*g + 3*l - 1216 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 240284 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 1. Suppose t*c - 2*q + 11 = -6*q, -4*c = -2*q. Let f = c + 1. What is the nearest to f in 2, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:40 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b - 27*b + 0*b**3 - 2*b**3 + 10*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(612) + -3))**2.\nAnswer: -900*sqrt(17) + 15525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 633084199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -19.3. Let p = 1.300027 - t. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 30 = 5*l, 2*w = 5*w - 3*l - 42. Suppose 0 = -5*d + q + 248, -75 - 8 = -2*d - 5*q. What is the remainder when d is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 3*c**3 - 3*c**3 + (4*c - 4*c + 2*c**3)*(5 - 2 - 1) + (-c + c + 2*c**2)*(13*c + 9*c - 6*c).\nAnswer: 34*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9 - -567?\nAnswer: 49e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1206693 * -505.\nAnswer: -609379965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -3 (c) 2 (d) 2602 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.31 - 6.11. Which is the second smallest value? (a) -113 (b) m (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*u = -24, -13*b = -9*b + u - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001471440426 to five decimal places.\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208775 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2734 - 7*k + 37*k + 2734.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 24 = 24 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = 3. Suppose 5*k = -s + 228, -2*s + 9 = p*k - 125. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:22 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 - 2*c**3 + 0*c + 0*c**3 + c - c**3 - 2*c**4 + 0*c - 2 as f*c**4 + w*c + v + m*c**2 + b*c**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86872 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*q**6 + 1507*q**3*s**3 + 2*q**2*s**2 + 2*q*s**3 + 1325*s**3 - 47*s wrt q.\nAnswer: -23640*q**3 + 9042*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 4415360*d + 4415355.\nAnswer: 5*(d + 1)*(d + 883071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 6, w: 5, m: 2, z: 1}. What is prob of sequence jkzw?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 9*i + 19. Let x be l(-4). Suppose 0*j + n = 5*j - 125, 3*n = -5*j + 105. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.6 - -2.6. Let b = 12.98 + s. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*t**4 + 51*t**2 - 59*t + 63*t + 5 - 5*t**4 in the form j*t + d + w*t**4 + z*t**2 + h*t**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1446 by -2.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.135 + -5.135. Which is the closest to -1? (a) -3\/2 (b) -2\/17 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6184.6591 rounded to the nearest 10?\nAnswer: -6180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -288081 bigger than -285317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1828100 by 1010.\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - -15) + (84 - 91) + -1 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - sqrt(1620)*-1)*1)\/((sqrt(72) - 2*sqrt(72)*6)\/sqrt(8)).\nAnswer: -12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 + -42. Let k = a - 157.0646. Let z = 0.058 + k. What is z rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1511\/136 + -106\/17. Let l = -288 - -836\/3. Find the common denominator of l and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4247131 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 30. Let k be j(25). Suppose p - k = q, 0 = -p - p + 4*q + 188. Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 19. Let g(t) = 3*t**2 + t. Let j be g(s). Factor 2*w**3 + j*w + 3*w**2 + 1\/2 + 1\/2*w**4.\nAnswer: (w + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -223401.\nAnswer: 223371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*h*l**4 - 194*h*l - 2*h + 17*l**3 + l**2 wrt l.\nAnswer: -552*h*l + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = 2*w + 2*b, 4*w + 3*b = 28. Let x = -19 + 25. Let l(h) = -h**3 + 8*h**2 - 7*h - 3. Let y be l(x). Solve 0 = 5*i + y - w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 3*d - 3. Let w be v(-4). Let p be (-22)\/(-8)*4\/1. Let q = p + 6. Solve 4*k - q = -w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 44 - 0. Let u be q\/(-12) + 4\/(-6). Put u, 1, -1 in decreasing order.\nAnswer: u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/13 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**5\/17 + 1382*u**4\/17 + 17532*u**3\/17 + 25336*u**2\/17 - 20240*u\/17 - 24000\/17 = 0. What is u?\nAnswer: -10, -2, -4\/5, 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 217\/70 + -5 and 143\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/((-4)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16572?\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -385\/254 - -2\/127. Let p be ((-44)\/(-12) - 3)\/(5\/(-3)). What is the closest to -7 in p, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.91 + 0.09. Let f = z - 8.4. What is the second smallest value in -2\/3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + q = 17, -385*q + 4 = -4*u - 381*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040217825 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/4 (b) 0.2 (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*g - 1800 = 0, -4*y + 0*g = -3*g - 2402. Let r(u) = u**2 - 406*u + 1622. Let c be r(4). Calculate the greatest common divisor of y and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.2 - -9.2. Which is the closest to 0? (a) y (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. List the prime factors of (6\/(-8))\/(z\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66a + 2?\nAnswer: 66c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205968 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1253 by -179.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 - 14*q**2 - 210*q + 702 = 0. What is q?\nAnswer: -9, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) 1\/9 (d) -0.3 (e) 4317\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 359*b + 72. Let n(r) = 56*r + 12. Let l(m) = 13*n(m) - 2*t(m). What is l(-8)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*p**3 + 0 + (p**3 + 0*p**3 + p**3)*(0 - 2 + 4) - 3 + 2*p**3 + 3 + (-26*p - 5*p + 3*p)*(34*p - 9*p**2 - 34*p))*(-8 + 4*p**2 + 8 - p).\nAnswer: 1020*p**5 - 255*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -42*n - 22. Let t(r) = 14*r + 7. What is 4*k(o) + 11*t(o)?\nAnswer: -14*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 493, 494, 495, 496, 497, 498?\n\"Answer: f + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -20*z - 6. Let g(k) = k - 1. Let u(w) = 3*w**3 - 638*w - 639. Let o be u(-1). Determine o*g(x) + j(x).\nAnswer: -24*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -101*(-21)\/(-14)*(-2)\/1. Suppose 5*x + 3*y = 366, 0 = -3*x - x + y + w. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*v - 1019 = -1054, 4*t + 4*v + 8 = 0. What is the nearest to -3 in -0.184, 1, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*m = 3*m + 1, -v + 5*m = 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38\/9? (a) -3\/7 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348028194 to the nearest integer?\nAnswer: 18656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 64 = -2*w. Suppose -12 = 5*k + 63. Let i = w + k. Solve 3*t = 3*f, 20 + i = -4*f - 3*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*p + 1 = -30, 3*f + 3*p + 141 = 0. Let z = -40 - f. Solve -z*u + 0*u = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28, 33, 36, 37, 36, 33, 28?\n\"Answer: -o**2 + 8*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 15, -t + 4*v + 4969 = -1998. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7257 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.9 times 0.3?\nAnswer: 20.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*((sqrt(180) + (sqrt(180) + 0 + sqrt(180) + -1 - sqrt(180)) - 4*(sqrt(180) + -1)) + sqrt(180)*2*-1*-4) + 1)**2.\nAnswer: 4320*sqrt(5) + 103905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from hhxxxyxhuxyxuyyuhxxx.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**3\/3 + 17*r**2\/2 - 64*r + 2671. What is b(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1702.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76100 and 1325.\nAnswer: 4033300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139804 - -716196. What is m rounded to the nearest 10000?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940402 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 254)*39\/52. What is the greatest common divisor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 86. Let h(u) = 2319*u + 2. Is h(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(5 - 3)*(-2)\/4. Suppose k*t = 228 + 150. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 34367942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j - 244 - 328 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1239, 2474, 3709, 4944, 6179?\n\"Answer: 1235*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/15 - v**2\/10 + 2*v\/5 - 10. Let z(m) = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 4*c - 5. Let i be x(5). Let l(t) be the second derivative of 0 + 0*t**2 - t + i*t**3 - 1\/12*t**4. Let n(y) = -y**2. What is l(n(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282 (base 9) to base 13.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631, -546, -475, -424, -399, -406?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*v + 2, -4*v - 20 = -p - 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4908420 divided by -2\nAnswer: -2454210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let d(z) be the first derivative of -2*z - z**2 - 3 + z + 3*z**a. What is d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 0.3 (b) -0.1 (c) 3\/4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*u - 4 = 0, 3*i + 0*i = 3*u - 3. Suppose i = 2*h + 2*h - 40. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(1900) - sqrt(1900))**2*6 + ((sqrt(2299) + -1 + -4*sqrt(2299))*6)**2.\nAnswer: 2376*sqrt(19) + 927312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -316, 5, 4, 1, -4 in increasing order.\nAnswer: -316, -4, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024728 rounded to 4 dps?\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*b**2 + 118*b**2 - 136*b**2)*(3 - 5 - 2 + 0 + 2 - 1 + (-2 + 3 - 3)*(-3 + 2 - 1) - 3 + 0 + 2 + 0 - 3 + 0)*(1 - 1 - 2*b).\nAnswer: -1236*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(57)\/sqrt(3)*-2 + (sqrt(19)*-3*1 - sqrt(19)) - (sqrt(57)\/(6*sqrt(9)\/sqrt(3)))**2)) + 1.\nAnswer: -77\/12 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 52\/(-40))\/(12\/(-245)) and -23\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5787 + 63*z - 2892 - 2895.\nAnswer: 63*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136410*m + 120528*m - 22355*m - 159375*m - 224704*m.\nAnswer: -422316*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6478098 is divided by 1292?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)\/d**8)**(2\/81)\/(((d*d**0)\/d*(d\/(d*(d*(d*(d**(3\/4)*d)\/d)\/d)\/d*d))\/d)\/(((d*d**(-2\/3)\/d)\/d)\/(d**(-1\/2)\/d))) assuming d is positive.\nAnswer: d**(2287\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33800, 67598, 101396, 135194, 168992?\nAnswer: 202790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.243 + -2.\nAnswer: -2.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67545*q**2 + 227*q - 44 wrt q.\nAnswer: 135090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 644, -1\/3, 12\/109.\nAnswer: -1\/3, 12\/109, 2\/7, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.1. Suppose -5*a = -2*c + 3, 5*c = 2*c + 12. Let d be 12\/(-8)*a\/(-3). Is f smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18180\/1065 - 0 - 17)*(-10)\/75.\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265589116059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-70))\/((-220)\/231)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34446 - 34446 + 4022*g)*(3*g + 2*g - 6*g) + (0 - 4 + 3)*(-2*g - g**2 + 2*g).\nAnswer: -4021*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -24 + 25. Which is smaller: s or 2\/51?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5494*s = -1570*s + 977*s - 18261 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*w - 70*w + 2688. Let u = -188 + w. Solve -1 = -u*n + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 784 = 762 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*h + 146*h - 89 - 727 = 0 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76119 is divided by 65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n**3*n)\/n)*n*n**(-5\/2))\/(n**(6\/13)\/(((n*n**(-5))\/n)\/n)) assuming n is positive.\nAnswer: n**(-285\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 251014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064 is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1515 and -57\/299465.\nAnswer: 898395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**4\/4 + 8*r**3\/3 + 2*r + 2. Let i be h(-8). Solve i*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 5*p - 150, 4*p + 3*c - 93 = 0. Let l = 29 - p. Let i = 51 + -52. Put i, 1, l in increasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + b - b)*((-3 + 3 - 2*b**2)*(-b - 8 + 8) + 0*b**2 - 4*b**3 + 0*b**2) as n*b**3 + m*b**2 + y*b + w + p*b**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.42 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*x = -5 + 3, -5*x + 4 = 2*t. Solve -t*r = -r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 9*a**2 - 936708*a + 1873380 = 0.\nAnswer: 2, 312230\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w**2 - w - 3. Let n(y) = 31*y**2 + 2*y + 6. Calculate -4*n(c) - 9*s(c).\nAnswer: 11*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = j + 25. What is the closest to j in -1\/6, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803224502.\nAnswer: 2, 3907, 102793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2803*x + 13128 = -2714*x + 2626 for x.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(112))**2.\nAnswer: 40*sqrt(7) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -87*b + 785. Let h be j(9). Let z = -10 - -7. Sort -42, z, h in ascending order.\nAnswer: -42, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12189 + -12184. Solve n*w + 13 = -3*b, 13 = -2*b + 2*w + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -857*d + 974*d + 1795*d + 498*d + (2 + 1 - 1)*(-3*d - 3*d + 4*d) - 2*d + 3 - 3.\nAnswer: 2404*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-16)*(-54)\/63. What is the nearest to 0.016 in z, 0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, d: 7}. Give prob of picking 3 e.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51875?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/56)\/((-1)\/(-2)). Let h(k) = -27*k - 267. Let q be h(-10). What is the biggest value in -1.2, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -11 (c) 351\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + p + 1. Let u(l) = 37*l**2 + 12*l + 6. Calculate 5*d(x) - u(x).\nAnswer: -22*x**2 - 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fmffmffafkkff.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 74 = -2*r, -l + 124 = 4*r - 5*l. Let k = 45 - r. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*q**2*x*z + 3*q**2*z**2 - 14*x*z**3 - x*z wrt z.\nAnswer: 6*q**2 - 84*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 68*u - 4. Let a(j) = -23*j + 1. Suppose -47 = -4*t - 5*x, -6*t + x - 24 = -35. What is t*s(g) + 10*a(g)?\nAnswer: -26*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.8 - 11. Let x = s - -1.7. Let z = -3 + x. Which is the third biggest value? (a) 4 (b) z (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 78 - (19 + -7 + -22)) + -18?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1106 times -5\nAnswer: 5530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 2}. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -15*a - 101. Suppose -3*r + 35 = a*r. Let w(m) = 2*m - 6. Let g be w(4). Solve g*l + 15 = r*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37233?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f. Suppose 2*r - 5 - 3 = f. Solve r*q + 5*l = -0*q - 7, 2*q + 4 = -2*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3437, -6814, -10181, -13538, -16885, -20222?\nAnswer: -23549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7169674?\nAnswer: 2, 727, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {j: 1, h: 2, m: 3, a: 1, o: 1, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4))**(3\/28))**(4\/7))**(9\/5) assuming q is positive.\nAnswer: q**(-108\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -260 - -260.136. Let x = z + -2.136. Which is the third smallest value? (a) -1 (b) -8 (c) x (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 25*t**2 + 24*t + 15. Let f be h(24). Solve 0 = -2*v - f + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 65 = -5*w, 14 = 2*w - 2*y. What is the units digit of (1044\/w)\/((-5)\/3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -26*c**2 - 1. Let g(f) = 2*f + 5. Let i be g(-3). Calculate t(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -1)*(2 - 136\/70). Let z(s) be the first derivative of -g*s**2 + 0*s**3 + 2\/35*s**5 + 5 + 1\/7*s**4 - 2\/7*s. Factor z(v).\nAnswer: 2*(v - 1)*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 - t + 5*t + t**3 - t. Let c be 3\/6*(7 + -1). Let d be y(c). Solve -3 = -b - d*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 17, h: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3632 or -3644?\nAnswer: -3644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 7926\nAnswer: -1\/2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let u = 14 + -10.4. Let a = 0.6 - u. What is the closest to 0 in a, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/21*1\/(-3). Let w = 1.25 - -57.75. Let f = w - 66. What is the nearest to -0.1 in r, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -30 - (-7 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 1470334641?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.946 rounded to one dp?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**8\/840 - t**7\/840 - 8*t**3\/3 + 14. Let b(r) be the third derivative of v(r). Factor b(j).\nAnswer: j**3*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q)*(94 + 85 - 184 - 9*q).\nAnswer: 9*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1061.5 - -1347. Let y = 285 - o. Which is the nearest to 0.1? (a) y (b) 4 (c) 0 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(605) + sqrt(605) - (sqrt(15)\/sqrt(3) + 3))**2 + (((sqrt(245) - 1*sqrt(245)) + -3)*6)**2.\nAnswer: 138*sqrt(5) + 2978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1406 - -2?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/84*74 + (-4)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.5784 or 1\/265?\nAnswer: -18.5784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/(-66)*30\/(-4) + 5. Suppose -5*i - 1705972 - 1079028 = h. What is i rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 2. Suppose 0*c + 5*c - r - 41 = 0, 3*r = 5*c - 43. Suppose -4*a + 0*a + c = 0. Suppose -g = -0*g + a. What is z(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 91*n - 194. What is f(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 82. What is the second derivative of 3*o - 20*o**3 - 11*o + o - t*o wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/12 - h**2. Let v(n) = -9*n + 92. Let f be v(10). Let a(w) = 2070 - 2070 - 14*w**f. Determine a(u(b)).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 637*f**2 + 8*f + 16*f + 17*f + 117 - 58*f + 16*f wrt f?\nAnswer: 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - v - 2. Let z be y(-1). Let g(s) = -3*s**2 - 3*s + 2. Let d be g(z). Does 23 divide 479\/13 + d\/(-221)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**2 + 2*a**3 - 7*a**3 + 27*a**2 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -p + 10*x + 121, -5*p - 5 = -4*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2659 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 7 + 8 + 5*d**3 + 2*d**2 - 5*d + 8*d to the form h*d + t*d**2 + n*d**3 + b and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -3001.\nAnswer: 33011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 571*o + 8856. Give i(-16).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-306)\/17)\/(70\/(-7)))\/((-33)\/550)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 1938802583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (14 + 6003\/(-45)). What is the greatest common divisor of j and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38.499 (b) -21 (c) -183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481912287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -72996503 greater than or equal to -72996501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6 = 4*c, 37*c + 33 = 46*c + 3*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16*u + 21*u - 50*u + 11*u. Let d(j) = 10 - 13 - 1 - 20*j**2 + 5. What is b(d(c))?\nAnswer: 40*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*s + 33, -6*n + 0*n + 4*s + 60 = 0. Solve 160 = -n*x + 152 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 183547?\nAnswer: -8\/183547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36629 * -104.\nAnswer: 3809416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 2480\/250)*-30*(-15)\/(-4). Which is the fourth biggest value? (a) j (b) -1\/3 (c) 1\/2 (d) 2\/49 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 - 6*r**2 - 14*r + 13. Let b(c) = -c**3 - 2*c + 1. Let s(v) = 6*b(v) - n(v). Give s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 666*z + 190017. Determine l(-286).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8584 + 8610 = -13*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(2*sqrt(152) - sqrt(152)) - sqrt(152)) + sqrt(152))*-3*3)\/(-3*(sqrt(512) - 6*sqrt(512)*-1)).\nAnswer: -3*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142740696?\nAnswer: 2, 142842587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3779606144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003 + 1996 - 5*z - 993.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22*1)\/((-31600005)\/(-3950000) - 8). Round v to the nearest one hundred thousand.\nAnswer: -17400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16157.835 rounded to the nearest ten?\nAnswer: -16160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -48, -113, -204, -321?\n\"Answer: -13*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-896)\/(-88) - ((-72)\/(-33) + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202040\/9 - -22442. Let n(v) = -2*v - 14. Let d be n(-10). Calculate the common denominator of c and ((-106)\/4)\/((-33)\/d).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 - 2.03. Let h = n + 2.2. Suppose -7 - 11 = 3*x - t, 4*x + 35 = 5*t. Which is the nearest to h? (a) 3\/5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.999211 to 2 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 238 = -v, 4*k - 2*v - 678 + 194 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 17. Let m(y) = 8*y - 17. Let r(f) = 6*m(f) + 7*q(f). Let i be r(8). Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, v: 3}. What is prob of picking 1 v and 1 w?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**3 - 53*t**2 - 10*t + 1451. Let f(g) = -4*g**3 - 27*g**2 - 4*g + 726. Let o(p) = 5*f(p) - 2*m(p). Differentiate o(a) with respect to a.\nAnswer: -18*a**2 - 58*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6072, -25557, -58054, -103563, -162084, -233617, -318162?\n\"Answer: -6506*v**2 + 33*v + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*u + 8*y - 16, 2*y - 12 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1196adc + 14?\nAnswer: 1196b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/25 and 566\/(-420) - (-45)\/(-270).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112909?\nAnswer: 112909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, 0.29, 0.01, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-4) - (-12)\/(-16). Suppose 3*z - t = -2*a + 4, 2*a + 12 = 4*z. Suppose 5*s - z*s = 1. Which is greater: 2\/15 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 100, 794, 2678, 6346, 12392, 21410, 33994?\n\"Answer: 99*h**3 + h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 20. Suppose 4 = 5*w - h*u - 11, -10 = 2*u. Let f(r) = 4*r**2 + 27*r - 4. Let y be f(-7). Put w, y, 4, -2 in increasing order.\nAnswer: -2, w, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.1 (b) -0.06 (c) 4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*m - 174928 = 14*m. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*20\/(-25).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:10 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 + -123. Suppose u + 2*g + 2*g = 6, -5*g = 0. Suppose 0 = -u*q + q + 30. Calculate the highest common factor of h and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + v = -4*h + 65, -10 = -2*v for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -250, -3, -14 in ascending order.\nAnswer: -250, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6227, 12444, 18647, 24824, 30963?\nAnswer: 37052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -22030969801.\nAnswer: -22030969804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7))\/((15\/25)\/(((-168)\/200)\/3)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7197 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let c(j) = 3*j - 1085. Give c(w(v)).\nAnswer: 6*v - 1085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*d - 7 = 3*w, -4*d + 4 = 0. Suppose -4*a = p - 68, -5*a = p + w*p - 204. Let g = p + -70. Which is bigger: -13\/9 or g?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/65 + 1488\/1040. Let z(b) be the second derivative of 0 + 1\/20*b**4 + t*b**2 - 2\/5*b**3 - 24*b. Factor z(y).\nAnswer: 3*(y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1931 + -1802. What is the remainder when o is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*b - 11 + 61, 4*m - 2*b - 30 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 30. Determine a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z - 336*a + 341*a, 2*z = -2*a. Let j = 1 - 1. Suppose -s + 1 + z = j. Solve -4*f + 4*c = 28, 8*f = s*f - c - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730, -2062, -3392, -4720, -6046, -7370, -8692?\nAnswer: -10012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -k + 14680, -58*o + 62*o = 0. Is 99 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2*t - 1. Let q be s(-2). Is 0*q\/(-2) - -21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10849, -41745, -93229, -165295, -257937, -371149, -504925?\nAnswer: -659259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -119*f - 12. Let c(y) = 99*y + 10. Let a(h) = -6*c(h) - 5*p(h). Let k(r) = -2197*r. What is a(k(g))?\nAnswer: -2197*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191494194?\nAnswer: 2, 3, 53, 281, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(11) - sqrt(176)) + sqrt(45) - (sqrt(135)*2)\/sqrt(3))\/(-1*sqrt(72)\/(sqrt(8)*1)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 3, n: 4, q: 1, s: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:33 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = -39 + 7. Let s be (-1)\/(-2) + 1379\/2. Let g = s - 3462\/5. Do g and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 13958868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-15))\/((-40)\/(-30)) + 684\/400?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*s**4 - 7945*s**3 + 3*s**2 + 5022.\nAnswer: 144*s - 47670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + 2*sqrt(425)*4 - 5*sqrt(204)\/(4*sqrt(300) + sqrt(12))).\nAnswer: 9 + 835*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -30050119 less than -30050119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/12*1\/((-6)\/54). Let j be 1*(-4)\/6 - -1. What is the third biggest value in -2, j, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 345808786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 189198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3305612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**6\/3 + 12*r**5\/5 + 6*r**4 + 16*r**3\/3 + 1048. Factor k(l).\nAnswer: 2*l**2*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.349 - -1.849. Which is the closest to 0? (a) q (b) -3\/7 (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 + 8 = 0. Let y be -3 - (-2 + 4 + -8). Suppose -d + y = -q. Solve j = -j - d*p + 26, p = 3*j - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from eqfffqfqfw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2793*l**3 + 8*l**2 + 2. Suppose 2*w + 5 + 7 = 0. Let k be j(w). Let f = k + 996422. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 4*c**2 - 4*c + 8. Let q be v(-4). Let s be (-2)\/(0 - 3\/6). Suppose -m = -s*k - q, -3*m = 2*m + 4*k. Which is bigger: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17a (base 15) to base 2\nAnswer: -101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 74219?\nAnswer: 148438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/24)\/((-18)\/162*3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/((-24)\/(-300))*55\/25.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-3 + (7 - 5)). Suppose 2*u = -3*l - 87, 4 = -a*l + 6. Let c = u + 46. Solve 0 = -g + 3 + c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**5\/30 - 5*w**2\/2 + 2. Let x(l) be the second derivative of i(l). Let g(h) = -2*h**2 - 2*h**2 - h**2. Calculate g(x(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 6*g + 8. Let o be s(5). Let q(c) = c**3 - 3*c**2 + 5*c - 21. Let f be q(-9). List the prime factors of f\/(-30) - o\/5.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21156374*c*o**2 + 39*c*o + 871*c - 2*o + 2 wrt o.\nAnswer: 42312748*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + j**2 - 130 - 185 + 21 - 4*j**2 to t*j**2 + x + o*j and give x.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 264*k - 1367. Calculate f(-137).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-32))\/((-50)\/(-100))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -24.7\nAnswer: -2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9259844 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -16*i**2 + 11*i + 142. Let t(p) = -11*p**2 + 7*p + 95. Let m(u) = -5*l(u) + 7*t(u). Factor m(b).\nAnswer: 3*(b - 5)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127793?\nAnswer: 47, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -155. Which is the nearest to q? (a) -3 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0101 + -582.0101. Let j = o - -582.1. What is the third biggest value in -2, 0.18, j, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 2*p + 1. Let m(j) = -2*j**2 + j. Let n be (4 - (12 - -3))*1. Give n*m(i) - 6*o(i).\nAnswer: -2*i**2 + i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m**(-1\/4)*m*(m\/(m*m**(2\/31)))\/(m\/m**11))**(20\/9) assuming m is positive.\nAnswer: m**(185\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5532*x - 36824 = -137554 + 43955 - 136845 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 83 = -5*j, 0 = 4*j + 1280097*y - 1280089*y - 196 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*u - 2*u. Suppose -5 - 5 = -r. Calculate the remainder when u is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317717 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1370353 (base 10) to base 8\nAnswer: -5164361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c + 0*c**5 + 0*c**3 - 1\/12*c**6 + 1\/24*c**4 + 0 - 2*c**2. What is the units digit of w(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4561150 divided by -912230.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 - 8*t - 8. Let d = -3 - 3. Let i = 1045 - 1058. Let r(x) = -15*x**2 + 17*x + 17. Determine d*r(w) + i*k(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - 1 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**4 + 2*r**4 + r**4)*(-6 + 1 + 4) - 23368*r + 23368*r + 480*r**4.\nAnswer: 482*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 3. Let z = 0.3 + -0.7. Let d = 3 + -4. What is the nearest to d in r, z, 2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 10*o**2 + 203*o + 2151. Determine c(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {j: 7, d: 4, c: 6, l: 2, b: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 2*i**2 + i**3 + (30*i + 38*i - 59*i)*(i**2 - 5*i**2 + 3*i**2) in the form s*i + d*i**2 + g + t*i**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -2\/17, -5\/7, -66.8?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 2*d**2 - 3*d + 2. Let l be h(2). Let s = l - -6. Suppose 2*q = 2*x + 38, -q - s*q = 4*x - 50. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94587, -378337, -851355, -1513725, -2365531, -3406857, -4637787, -6058405?\nAnswer: -7668795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.9 take away -0.4?\nAnswer: 147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m - 3. Let x be t(8). Suppose 2*f + 9 - x = 0. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3160269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 12. Solve f - 4 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 529, 439, 347, 253, 157, 59, -41?\n\"Answer: -h**2 - 87*h + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 2*f + f)*(3*f - 10*f + 5*f + 5) to the form t*f**2 + s*f + c and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 4406623497271?\nAnswer: 4406623497271.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 10 - 84460*v + 46906*v + 46409*v)*(-1 + 1 - 2) to w*v + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -105 + 93 - (-110)\/9. Sort 0.5, l, -2, 27 in descending order.\nAnswer: 27, 0.5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1183286 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 and 70.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*x + 13839914 - 13839910, 0 = 2*z - x - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15 = 5*k, -5*i + 11*k + 48 - 17 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -3, 0, -2\/9, -544 in increasing order.\nAnswer: -544, -6, -3, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0.4 (b) 0.3 (c) -5 (d) -129 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -989*r*z**3 + 52*r*z - 17*r - 134*z**3 + 10*z**2 + 68*z wrt z?\nAnswer: -5934*r - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - -3) + -23 - 18?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 - 325*w + 4374. Give h(12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 463659.\nAnswer: 1390977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 23 = -17. Let c be 5\/(o\/28)*1. Let b = c + 24. Solve -b = -g - g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**5\/15 - 29*s**4\/3 - 1682*s**3\/3 + 57*s**2\/2 + 260. Let h(r) be the second derivative of d(r). Factor h(o).\nAnswer: -4*(o + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -14, 10\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 + 224. Let v = -15 - -25. Find the second derivative of -v*a - 3*a**5 + i - 18 wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u + 1 - 16*u**2 + 1\/6*u**4 - 7\/6*u**3. Give k(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29192*m + 0 + 31726*m - 68283*m + 0 to x + b*m and give b.\nAnswer: -7365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:14 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = -4*u - 148 + 369, -4*y + 16 - 45 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, c: 2, i: 1, n: 2, e: 1}. What is prob of sequence ic?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -12. Solve z - 1 = -4*r + 4*q, -2*q + 5 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -1c?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/8, 0.2, -3, 62\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -653, -605, -517, -377?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57135312.\nAnswer: 2, 3, 13, 23, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -41254?\nAnswer: -41245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -82.2. Let h = -0.05 - -0.08. Let o = h + 9.97. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3949994 divided by 67\nAnswer: 3949994\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -136224 divided by -15136?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11663 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 2.5691?\nAnswer: -2.1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -51*t**3 - 66*t**2 + 69*t + 3. Give h(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/17)\/u)\/u)\/u**24 assuming u is positive.\nAnswer: u**(-438\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*p - 20 = 0, -3*f + 12 + 8 = 4*p. Suppose 0 = f*k + 12, 4*w + 0*k = -3*k - 9. Suppose 3*t - 32 = 4*y, t = -w*t - 4*y. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10239762*g + 46452673 wrt g?\nAnswer: 10239762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 255*o**2 + 428*o + 6192. What is f(-126)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/24 + 8*r**3\/3 + 22*r**2 - 2. Give b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33609, -62478, -91347, -120216, -149085?\n\"Answer: -28869*v - 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601055 - 2*g - 601055.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75234 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.09103?\nAnswer: -0.036412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:54 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2587*s = 2588*s + 373, 2*b - 5*s + 133 = 0 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -720, -0.1, -1\/6, 20\/3, -4?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 6*i - 2*i - 32, -k - 20 = -5*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/13206 and -47\/184830.\nAnswer: 406810830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 9 = 4*l, l - 5444*a - 9 = -5446*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + 30. Suppose -376 - o = -12*c. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 35*i - 167. What is the lowest common multiple of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c70 (base 16) in base 6?\nAnswer: 53412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 701 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-313880)\/(-70) + (-1 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 31*q - 760. Calculate the highest common factor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8805, -17992, -27179, -36366?\nAnswer: -45553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2 - 7*q. Let r(k) = 2*k. Give r(s(h)).\nAnswer: -14*h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4666 and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279 + 158 + 124*y + 125)*(0 - 2 + 0).\nAnswer: -248*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3620837*l**2*z**3 - 70077*l**2 - 2*l*z**2 wrt z.\nAnswer: -21725022*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*m**2 + 209*m + 10012.\nAnswer: -30*m + 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, 2, -8225\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374 a factor of 16962600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v**3 + 15*v**2 - 27*v + 15. Let h(n) = n**2 + 2*n + 1. Let u(j) = -g(j) + 15*h(j). What is the second derivative of u(q) wrt q?\nAnswer: -126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3750139 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1466802\/26279 - -4\/2389. Let w = s + -56. Suppose -2 = q - 2*q. Sort 1, w, q.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 2. Let h(u) = -5*u - 3. Let x(a) = 6*a - 2. Let y(d) = -6*d + 1. Let b(z) = 2*x(z) + 3*y(z). Let o(f) = 2*b(f) - 3*h(f). What is o(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1 + 16*j - 9*j - 8*j. Let t(x) = -x**2 + 3*x - 3. Let p = -2 + 3. Let a(l) = p*t(l) + 3*d(l). Let z(g) = -15*g. Calculate a(z(c)).\nAnswer: -225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 47*d**2 + 977. Is w(33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 - 30*a - 75 = 0. Calculate a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149053 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f - 47 + 149 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - -9 - (8 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1915, -2622, -3799, -5446, -7563?\nAnswer: -10150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lklk when four letters picked without replacement from kkkklkl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144792891*c + 272538593 wrt c.\nAnswer: 144792891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1773 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/19, 3\/4, -3, 3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-104)\/(-20) - (-2)\/(-10). Suppose 0 = i - b*y + 24, -2*i + 0*y = -y + 21. Let c = i - -34. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 400*g*u**3 - 1630*g*u + 236175415*g + 4*u with respect to u.\nAnswer: 1200*g*u**2 - 1630*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amdpuur. Give prob of picking 1 p, 1 r, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2260965 millennia to months.\nAnswer: 2713.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 11)*4\/3*28. Let k = -82 + n. What is the smallest common multiple of 21 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061767?\nAnswer: 41, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s**2 + 1 + 2*s + 1\/6*s**3 + 1\/12*s**4. Let l(r) be the first derivative of g(r). Factor l(i).\nAnswer: i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f + 24*f - 5477 = 47*f + 2283 for f.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74293, -148557, -222807, -297037, -371241, -445413?\n\"Answer: j**3 + j**2 - 74274*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19663*j + 19660*j = 18 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o - 8 = 0. Suppose -1 = -3*l + 5. Suppose -o*h + l = -22. What is the remainder when 47 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11893, -11525, -11157?\nAnswer: -10789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 5*g + 10*g**3 + 21*g**2 + 4*g**2 - 97 = 0. Calculate g.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11337586567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -9356?\nAnswer: -9\/9356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2 + 2)*((-1 + 1 + 2)*(3*k + 6*k + 3*k) + 6 - 70*k - 6).\nAnswer: 92*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1834? (a) 0.1 (b) -5 (c) 78 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 14*l**2 + 6*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, 13, 49, 105, 187, 301, 453?\n\"Answer: i**3 + i**2 + 12*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -15\/7, 3, -5, -0.4, -100\/9, 56?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*b + 285*b - 984 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 23 - 7 = 0. Suppose 0 = s*w - 340 - 60. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 24*c**2 + 17 - 29*c**2.\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 18 + (-26 - 13)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 17 + 55. Suppose -l*j = -2*q - j + 15, -5*q = 4*j + 12. Which is bigger: q or -2\/201?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1498 + -1497.914. Round i to three decimal places.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.4, -47, -5, 27, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*-2 - 1. Suppose o = i + 5*h, 7 - 15 = 2*i + 2*h. Suppose -m = -3*w - 1, 0 = -4*m - 0*w + 2*w - 16. Is i at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.47, 0.11, 7\/10.\nAnswer: -4\/3, 0.11, 0.47, 7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 2*x**2 - 2*x. Let w = 1 + 2. Let m(n) = 1 - 2*n**2 + 3*n - n + n + 2*n**3. Suppose 3*t - 8 = -t. Determine t*m(a) + w*v(a).\nAnswer: -2*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*x**3 - 22*c**3*x**2 - 7*c**3*x + c**2*x + 211629*c*x**3 + 32*c*x**2 wrt x?\nAnswer: 12*c**3 + 1269774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 0.4, 0.6, -0.3, -5\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27289708 and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*m + 4, -5*i + 2*m + 2*m + 4 = 0. Let r = -362 - -367. Sort -5, 6, r, i.\nAnswer: -5, i, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -597, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 807245, 1614391, 2421537, 3228683, 4035829, 4842975?\n\"Answer: 807146*v + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*j - 1933, -5*g - 6*j + 5*j = 4846. Let l = 2302 - g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00313 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -55.5. Let b(x) = -7*x - 72. Let d be b(-10). What is the nearest to -0.14 in d, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*x - 157*x - 149*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/15)*r\/(((r**(-1)*r)\/r)\/r)*r)**(-4\/15))**(-7\/9) assuming r is positive.\nAnswer: r**(2156\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12*c**2 + 326*c - 47. What is n(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 38\/3. Let p = 101709\/104 - 978. Let t = -2\/13 - p. Which is the closest to v? (a) t (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -171, -559, -947?\n\"Answer: -388*i + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + s**3 + 3*s**3)*(0 + 1 - 2) + 6*s**3 + 6*s**3 - 4*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/2 + 30027*w\/2 + 15015.\nAnswer: -3*(w - 10010)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 3*g**2 - 3*g + 3. Let k be (8\/(-3))\/((-24)\/(-108)). Let z be k\/10*(-5)\/3. What are the prime factors of t(z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - 2 + 2 - 35*h + 196*h + 49*h + (0 + 2 - 1)*(1 - 1 + h).\nAnswer: 206*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 12*r, 1400*o + r = 1401*o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10038 and -53\/14340?\nAnswer: 100380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**3 + 20*f**2 + 3. What is the thousands digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*p + 6*p. Suppose -p*j - 5*x + 34 + 97 = 0, j - 44 = -2*x. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 7*y.\nAnswer: y*(y + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 107, 163, 219, 275?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251373365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 11*a = 14. Suppose 0 = 4*l - 18 + a. What is the nearest to l in 1.8, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 519228482\/5 or 103845697?\nAnswer: 103845697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)*(-2)\/(-4). Let c(t) = t**2 + 5*t + 2. Let a be c(-5). Let g be (0 - 1) + -2 + a. Do p and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s + 24. Let f be c(-2). Suppose f*h - 35*h = -12150. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*y - 1041*y + 343*y + 344*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away -0.8305?\nAnswer: -24.1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-3) + (-76)\/(-16). Suppose 7*w - 4*w = 3*o - 12, -2*o + 8 = 5*w. Which is the closest to -0.1? (a) -2\/13 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 3, y: 1, w: 6}. Give prob of sequence wmw.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b**2 - 1. Let r(a) = -16*a**2 - 1. Let l(s) = 5*r(s) - 6*u(s). Let z(k) = -1. Let o(n) = -l(n) + 5*z(n). Differentiate o(x) with respect to x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/11)\/(y\/(y*y*y*y**10\/y*y*y))*(y\/(y\/(y*(y**2\/y*y)\/y*y)))**(-1\/4) assuming y is positive.\nAnswer: y**(543\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102061 + 102062. Let k = 7 - 4. What is the third biggest value in 11, i, k, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -11. Let g(x) = x - 2*x + 25*x**i + 4*x**2. What is the tens digit of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21 = -11. Suppose -2*s - 4*g + 26 = -0*g, 2*g = -r*s + 32. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*a = 318*a - 158*a - 2*w - 6, -28 = -2*a + 3*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**11)**(-1\/3) assuming l is positive.\nAnswer: l**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1 + (-60 + 4)\/8. Which is the biggest value? (a) q (b) 1 (c) 0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 0*z - 2272 + 2*z.\nAnswer: -2*z - 2272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100 + -10?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 - 3*q**2\/2 - 159*q. Suppose 2*t - 2*g = 3*t + 2, -3*t = 4*g + 10. What is f(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 215676, 215678, 215680, 215682, 215684, 215686?\n\"Answer: 2*f + 215674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 3*a + a)*(4*a - 2*a - 4*a) - a**2 - 5*a**2 + 5*a**2 - a**2 + 2*a**2 - 5*a**2 - 3*a.\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6127.701cm in millimeters?\nAnswer: 61277.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1778)\/(-30)*3 + (-3)\/(-15). Let d = -3 + f. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1307855 = -72*v - 585216 + 1784617. What are the prime factors of v?\nAnswer: 97, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 106, 160, 214?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from mmmlllmbmmmmmlllmlml.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:00 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 5*q**2\/2 - 3*q + 223. What is p(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjz when three letters picked without replacement from zzzzzzzzzjjzpp.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -25. Let r = 1.9 + -10.9. Let d = a + r. Put -3, d, -2\/5 in descending order.\nAnswer: d, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*-0.44.\nAnswer: 22.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 590\/9. Suppose -b = -0*b. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 293*a**2 + 717*a + 254. What is x(144)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3897 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036524 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/5 + 8005536\/360.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from vyooyvoyo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n = -188*n + 7680240. List the prime factors of n.\nAnswer: 3, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109075\/97 - 5468293\/970. Suppose -5*d = 1601 - 35376. Let w = l + d. Calculate the common denominator of 91\/12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 - 37*y\/5 + 232\/5.\nAnswer: (y - 29)*(y - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m**2 + m)*(-12 - 74 - 14 + 3 - 1 - 1 + (-4 + 4 - 1)*(-3 - 1 + 3))*(-4*m + 6 - 6).\nAnswer: -784*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -15 - (-94 - -104).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**5 - 6*o**5 + o**5 + (o**3 - 3*o**2 + 3*o**2)*(-1 + 1 + 2*o**2))*(508 + 37 - 94).\nAnswer: 451*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.4, 0.1, -28998\/17, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25707 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 5*v - 4. Let s be z(-3). Let p(m) = -m - s*m - m. Let x(o) = -o**2. Give x(p(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430\/(-5375) + 331427\/25?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 204964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -129\nAnswer: -26\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r*x*y**3 - 602*r*x*y + 3836*r*x + r*y - 1 wrt y.\nAnswer: 6*r*x*y**2 - 602*r*x + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2. Let l be m(0). Let q(h) = 2*h - 2. Let p(v) = v**3 + 4*v**2 - v - 1. Let x be p(-4). Let k(g) = 2 + 2 - x. Give l*k(c) + q(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28857, -28938, -29019?\nAnswer: -29100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*a = -2*u - 16, -2*u + a = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*j + 7*j. Suppose -18*v - 2 = -74. What is the remainder when j is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (sqrt(1872) + 3*sqrt(1872) - sqrt(1872)))\/(sqrt(4) + (sqrt(256)*-1 - sqrt(4))))**2*-2.\nAnswer: -3757\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, r: 1, u: 2}. Give prob of picking 1 r and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**2 + 6*h**2 - 5*h**3 - h**2 + 2*h**3 + h**2 + (-21 - 6 + 0)*(-3*h**3 + h**3 + h**3) + 0*h**3 - 2*h**3 + 7*h**3.\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 193565, 193556, 193545, 193532, 193517, 193500, 193481?\n\"Answer: -a**2 - 6*a + 193572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5 - (32\/80)\/(8\/(-52)))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*f. Let i(h) be the third derivative of -h**5\/60 - h**4\/24 - h**3\/6 + 2*h**2 + 81. What is i(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 65 = 7*w + 2*b, -3*b = -w + 11 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(8\/(-14)))\/((-24)\/(-48)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*a + 2355 = 3*a, -2*w + 4*a - 942 = 0. What is the remainder when w\/(-21) - 12\/28 is divided by 2\/2 + 0 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/6 - 37859*h\/6 + 6310 = 0.\nAnswer: -37860, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 828*j - 853*j + 1 + 365*j + (0*j + 2*j - j)*(6 - 3 - 1) as b*j + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 3. Suppose 0 = -5*c - r - 0 - 2, -4*c - 6 = 3*r. Let z(v) = -5*v - 2*v + 3 + v**2 + c*v. Let m be z(6). Give k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 157*u**6\/20 - 667*u**4\/24 + 1999*u**2. What is the second derivative of m(r) wrt r?\nAnswer: 5652*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -58. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - 5164207491.\nAnswer: -5164207491.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-9207)*-33*(-18)\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5200856, -5200855, -5200854, -5200853, -5200852?\nAnswer: -5200851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*b = 5*i - 26, 2*i - 5 = -b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*k + 2853*k + 1225*k + 142640 - 33860 = 0 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -108 (base 13) to base 16\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/5*((-20)\/8)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 - -3.3. Which is the biggest value? (a) -5 (b) 3 (c) 3\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12407457.\nAnswer: 3, 439, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1427*h - 154686 = 1240*h for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 1400 = -30*k. Is k a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12534, 45, 0 in descending order.\nAnswer: 45, 0, -12534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 24 - (-502 + 454) - 0\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -243?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*b - 6738 + 32796 = 246*b + 1206 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15310117.\nAnswer: 15310117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3.1, -0.2 in ascending order.\nAnswer: -3.1, -2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r - 5. Does 14 divide y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + d - 57*d**3 + 1 + 56*d.\nAnswer: -57*d**3 + 57*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 18*v - 82. Determine z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**3 - 3*o + o**3 + 3*o + 4*o wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 64. Let j(f) = -f + 4. Let a be j(z). Let b(w) = 31*w + 3. Is b(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/260054409 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 5*n**2 - 2*n - 4. Let u be w(-5). Suppose -180 = -j + u*j. Is 1\/(-1) - j\/4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.097 from 0.05.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - 5*h**2 - 4*h**3 - 1 - 1 - 3*h. Let x be a(-4). Let r(t) = 75*t**2 + t + 6. Let p be r(x). What is p rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1664*r - 104. Let u(m) = m - 2. Calculate c(l) - 52*u(l).\nAnswer: 1612*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2157 - 4312 + 2158 - 8890*w + 2703*w.\nAnswer: -6187*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iagataaiiaagggtgia. Give prob of picking 1 t and 1 g.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*((0 + sqrt(325))*-1 - sqrt(325)) + 4 + 2))**2.\nAnswer: 9000*sqrt(13) + 293400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -0.1, 3\/8, -0.08?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*g = 1103, -2*j = -5*g + 3*g - 738. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6773385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-108))\/(2\/(-6)). Which is the nearest to -1? (a) t (b) 0.07 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i**2)\/(i**(1\/2)\/i**(6\/11))*(i*i*i**1\/i)**(-2\/53)*(i*(i*i**(2\/3))\/i*i)**17 assuming i is positive.\nAnswer: i**(175961\/3498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5 and -31\/7020?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 + 2*n - 2 + 0*n. Let c(j) = j. What is t(c(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 2\/5, -3\/46, 1\/4, 1, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*sqrt(2)*-1.\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 4*g - 2. Let p be h(-2). Solve -3*y = 5 - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 86 = 2*n, 5*n = 4*l - 424 + 458 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13*r**(-7)*(r*r\/r**(-16)*r)\/(r**(19\/5)*r) assuming r is positive.\nAnswer: r**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(22)\/sqrt(2)*-1 + (sqrt(11) - (sqrt(539) + sqrt(539)*2))) - (-5 + (0 + sqrt(1584))*3))**2*3 + -5.\nAnswer: -4860*sqrt(11) + 866122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225680594.999951 + -225680699. Let p = s - -104. What is p rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/25*(6 - 2)*40\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 13 - ((-658)\/21 - -18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 - 5*f**4\/24 + f**3\/3 + 2*f**2. Let d = 27 - 42. Let g be (-2)\/6 - (-70)\/d. Calculate q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 74*u - 15 + 5199*u**2 - 9 - 4761*u**2 = 0. What is u?\nAnswer: -1\/3, 12\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 46 = -73. Suppose -j - 15 = -12*o. Solve 0 = o*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*j - 11 - 7, 4*d - 12 = 0. Solve -2*z - 3 = -t - z, -4*t + 12 = j*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 2*q**3)*(2 + 10*q**2 - 3*q - 12*q**2 + 0*q).\nAnswer: 4*q**5 + 6*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1.2. Put -3, -0.2, z, -5 in decreasing order.\nAnswer: -0.2, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 1\/5, 2, -2, -1 in descending order.\nAnswer: 2, 1\/5, 0.12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1007 - -33.688689142.\nAnswer: 33.587989142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15848 is divided by 7895.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3634 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 6*g**2 - 4*g + 15. What is p(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**3 - 419379*b**2 - 14657191185*b - 43967799225 = 0?\nAnswer: -69895, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r\/(r\/r**(-2\/7))*r)**32*(r\/(r\/r**(5\/2))*r\/r**(2\/11))**(-2\/31) assuming r is positive.\nAnswer: r**(-98719\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15247 or 2088694\/137?\nAnswer: 2088694\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -19?\nAnswer: -42\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437274 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 22. Let t(g) = -9 - g**2 - h*g - 8 + 17. Let n(q) = -q + 9. Let f(l) = 4*l - 54. Let s(w) = f(w) + 6*n(w). Calculate t(s(z)).\nAnswer: -4*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 10, m: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(66\/(-60))\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 6*o**2 + 2751*o + 16540. Give v(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469516505 to the power of 1\/2, to the nearest integer?\nAnswer: 38334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28*b - 4194674 = -1132155. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a3287 (base 13) to base 9\nAnswer: 1221674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m - 8. Give s(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 120 = 6*x. Calculate the greatest common divisor of x and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -54*p + 3097. Give s(57).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 16) in base 4?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 98, 233, 432, 701?\n\"Answer: o**3 + 23*o**2 + o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**4 - 90*c**3 + 119*c**2 - c + 394226 wrt c.\nAnswer: 4*c**3 - 270*c**2 + 238*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69.86653 millennia?\nAnswer: 838398.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.3 - -18. Let y = f + 1.2. Which is the nearest to y? (a) 5\/4 (b) 4 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, u: 1}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 14, -55, 1\/8, 3\/2, 11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5032143 divided by 1119.\nAnswer: 4497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:51 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1 (c) 18 (d) 21.018 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + 0.31. Let v be (-22)\/(-33) - 4054\/(-21). Let k = -194 + v. What is the third biggest value in y, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7469*l - 9296*l + 8927*l + 15645*l + 6029*l to the form t*l + f and give t.\nAnswer: 28774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 36 = -38 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2373\/44 - 215\/4. What is the closest to 1\/6 in 0, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 30 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256*d**2*z**2 + 9737695*d**2 - 183*d*z**2 + 89*z**2 - 6*z wrt z.\nAnswer: 512*d**2 - 366*d + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241*p**2 - 208*p**3 - 114*p**2 + 655*p**3 - 1663*p**2 - 15*p**3 wrt p?\nAnswer: 2592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -0.4973\nAnswer: -0.014919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.7 * 14.\nAnswer: -583.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, b: 11}. Give prob of picking 1 b and 1 p.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.040076 to one decimal place.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**4 + 13*k**3 - 2*k**2 - 11 wrt k?\nAnswer: -24*k + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 3*z + 2. Let n(s) = -663*s**2 + 1071*s - 714. Let d(y) = -1785*j(y) - 5*n(y). Let r(q) = -3*q**2. Determine d(r(x)).\nAnswer: -2295*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14 = 29. Let n be s\/6*(-168)\/(-7). Solve -i + 2 = 3*g, g = 5*i + 5*g + n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2463*l + 14819. Calculate j(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -169824390 divided by -6?\nAnswer: 28304065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024177009 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 779144172 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 9*l**2 - 11*l - 6. Let t be n(-10). Suppose 29 - 1 = t*s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (629*q + 49*q**3 - 629*q)*(-14 + 7*q + 14).\nAnswer: 343*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 14115.0003?\nAnswer: -14115.2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-35) + (-3)\/(-21))\/((-135)\/6075)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = t - 7*j - 17, -2*t - 13 = 3*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -5, -3, -3\/4, 18\/5, 48 in decreasing order.\nAnswer: 48, 18\/5, -3\/5, -3\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -4, 3, 14, 29?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22560 = -5*j, 2*j + 14*i = 19*i + 9024. Suppose -4*q - j = -16*q. Does 51 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8061, -8097, -8141, -8181, -8205?\nAnswer: -8201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/12 - (-2)\/6)*1. Suppose k + 5*l - 922 = n, 3*l = -k - k + 1823. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:14 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/4 (b) -25 (c) -31 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 10. Suppose -5*p + 14 + q = 0. Suppose p*z - 4 = 12. Solve 8 = -4*c, 0*i - z*i - 5*c - 30 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2030, 2037, 2044, 2051, 2058, 2065?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**2 + 301*f + 294. Let h(m) = -10*m**2 + 300*m + 295. Let p(y) = -3*g(y) + 4*h(y). Solve p(l) = 0.\nAnswer: -1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcccjc. What is prob of picking 2 j and 2 c?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -983 = -15*h + 292. Let r = h - 169\/2. Which is greater: r or 0.031?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 26*w - 390. Suppose 10*t = 12*t - w. Let a = t + -53. What is the remainder when 44 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmmqqmm. Give prob of sequence mq.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a. Let p be (-7 - -9)*(34 + a)*-1. Round p to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 18*g - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9755135?\nAnswer: 5, 13, 223, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z = 350*z - 796 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.02 + 0.02. Let v = -1.2 + 6.2. Sort -3, v, s in descending order.\nAnswer: v, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.15 - 0.15. Let l = 5.6 - d. Let z = 519 - 522. Sort 0.1, z, l in descending order.\nAnswer: 0.1, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 1309*o + 95713. Calculate a(-84).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 13. Let w be f(10). Suppose 3*c - 12 = w*z, 14 = 2*z + 2*c + 2. Solve -z = -3*u + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x**6 + 0*x**3 + 0*x - 1\/4*x**4 - 5*x**2 + 0*x**5 + 0 + 1\/84*x**8 + 0*x**7. Find the second derivative of w(p) wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from uqkquqwuqqutwkl?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Calculate the remainder when 11 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymy when three letters picked without replacement from {y: 15, m: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98 - (-56 - -8)) + 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(252) - sqrt(7)) + sqrt(7))*-5)**2.\nAnswer: 600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 160 - 76*p**3 + 66.\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -1, 0.2, 0.25 in ascending order.\nAnswer: -1, 0.08, 0.2, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5393955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/13)\/(3\/(-204)). Let w = 21 + q. Let u be (-793)\/(-65) + -10 - (-1 - -3). Which is the closest to -0.1? (a) w (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = -62 + 1512. What is the remainder when 286 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297219, -297188, -297127, -297036, -296915, -296764?\nAnswer: -296583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in -3\/37, -17, -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -169, -383, -683, -1069, -1541?\nAnswer: -2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**8\/112 - 49*m**6\/15 + m**5\/30 + 135*m**4\/8 - 7674*m**2. What is the second derivative of d(t) wrt t?\nAnswer: 60*t**3 - 2352*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**3 - 1903*w**2 - 7*w**3 + 1905*w**2 + 17*w**3 - w + 2*w. Let y(x) = 18*x**3 + 3*x**2 + x. Determine 3*p(b) - 2*y(b).\nAnswer: 21*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -69, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 6) to base 9.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from {o: 1, r: 2, y: 2, p: 2, x: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 500.9859 kilometers?\nAnswer: 500985900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 divided by -62?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53939.3 and 45283831.\nAnswer: 45337770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 + 80 = 0. Let q = -66 - w. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*y - 209 = 1844 + 13991 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/108040805 and -93\/14732?\nAnswer: 432163220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8699, 17403, 26111, 34823, 43539, 52259?\n\"Answer: 2*m**2 + 8698*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316422 and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2060*m**2*p**2 - 185*m**2 - 20*m*p**2 - 488*m - p**2 - 2 wrt p.\nAnswer: 4120*m**2*p - 40*m*p - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 112.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7*y - 12 = 0. Let w(m) = -1 - m**3 + 3*m + 4 + 4*m**y - 6*m. Calculate w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55955 divided by 19.\nAnswer: -2945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4452 + 4454 - 51*l**2 - 45*l**2 to t*l**2 + x*l + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*z + 101*z - 117 - 279 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 467. Let w be i(0). Suppose -2*m = 71 - w. Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + -17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 at least as big as 16206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 0*w - 3\/20*w**4 - 3\/10*w**2 - 2\/5*w**3 + 19. Let v(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2162 (base 8) to base 5\nAnswer: 14023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 3*s**2 + 6*s + (-s**2 + 0*s**2 - s**2)*(-1 + 2 + 1) as p*s + a + o*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u**3 - 4*u + 5. Give z(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61328 is divided by 8687.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:02 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2. Let x be l(2). What is x rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133) - sqrt(133))*-4 + sqrt(133)*1*2)\/(5*(sqrt(112) + sqrt(112) + (sqrt(112)*-1 - sqrt(112))) + sqrt(112)*-2*-5).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0.1, 15, 4, -4, -15951?\nAnswer: -15951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from anaaanaana?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -9*y - 4. Suppose 4*n + 2*b = -21 - 3, -y = b. Let c be (-5 + 10)\/n*(-1 - -1). Solve c = a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 4 - 44*g - 11*g - 48*g - 66*g + 7*g.\nAnswer: 3*g**2 - 162*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4393122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -1.387\nAnswer: 42.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1523612 to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 5*n**2 + 5*n + 1. Let r be z(-2). Solve 0 = r*p - p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0098733 and -0.5.\nAnswer: -0.00493665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 374*v**2 - v. Let j be (-4)\/26 + 171\/13. Let x be ((-1)\/(-5))\/(j\/65). Is s(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*a + 288*a + 623 = 0. Let s(d) be the first derivative of -7\/2*d**2 - a - 7*d - 1\/3*d**3. Let v(k) = 3*k + 3. Give -3*s(f) - 7*v(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m, 5*u + 4*m = u + 8. Let d be (2 + 4)\/(u\/3). Let f = 8 - d. Calculate the smallest common multiple of f and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) -236 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 5. Let l be p(-7). Let h(y) = 5*y**3 + 10*y**2 - y + 2. Let w(c) = 27*c**3 + 55*c**2 - 5*c + 11. Let k(s) = -11*h(s) + 2*w(s). What is k(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 632941 - 104434751\/165. Let q = n + -44\/15. Let w be -2*(6\/8)\/(-1). Sort q, w, -1\/4.\nAnswer: -1\/4, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 29. Determine y(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w**2 + 44*w + 36. Let l be y(-18). What is the tens digit of (l\/(-294))\/(0 + 3\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.3 (c) -2\/23 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1386 or 1028?\nAnswer: -1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9*-8326\nAnswer: 74934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0.2 (c) 293570\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 4*k**2 - 6*k)*(2 + 0 - 5)*(k**2 - 1 + 1).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975121793 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.092.\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 2. Let u(q) be the second derivative of q**4\/6 - q**3\/3 + q**2\/2 + 6*q. Is 5 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (161\/966)\/((-13)\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1080 - -3209\/3. Suppose -3*i - 201 = 2*w, -i - 4*w = -4*i - 219. What is the common denominator of h and 1\/5 - i\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170812 is divided by 400.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - k - 5. Let v(c) be the first derivative of -c**3 - c**2 - 7*c - 28. Suppose -467*q = -470*q - 21. Give q*f(p) + 5*v(p).\nAnswer: -p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6\/7, 0.16, 3 in increasing order.\nAnswer: -4, -6\/7, 0.16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18059, -36148, -54233, -72314, -90391, -108464, -126533?\nAnswer: -144598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5 - 3. Let l(p) = -p**3 - p**2 - 2*p - 3. Let x be l(k). Suppose -u + 656 = -x*c, 0*c + 1883 = 3*u + 2*c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013129 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 6*x**2 + 4*x - 1. Let c be (-1*(-4 + 2))\/1. Suppose 0 = -4*d - y - 25, -2*y + 8 = -4*d - c. Determine s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.5056\nAnswer: -3.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -47.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/5 - 246956*p**3\/5 + 7632293474*p**2\/5 - 548565338448*p\/5 + 9868418461728\/5 = 0. Calculate p.\nAnswer: 36, 61703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k**3 + 76*k**2 - 23*k + 53. Let l(w) = 9*w**3 - 43*w**2 + 11*w - 26. Let v(p) = -7*l(p) - 4*x(p). What is v(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = v + 7*v. Put -4, 2, v in decreasing order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - 2 + 2 - 13194*q**3 + 13235*q**3 to d*q**2 + w*q + g + a*q**3 and give a.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9769 is divided by 654?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, g: 1, u: 1, f: 1, s: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -3, 4, 5, -3181 in descending order.\nAnswer: 5, 4, 2, -3, -6, -3181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 1 + 1)*(1948 - 1948 - 420*x**3)*(2*x + 0*x - x).\nAnswer: -420*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63.039865 - 18.20985. Let v = g - 44.8. Let i = -0.03 + v. What is i rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 114 = d, -108 = -3*s + d + 2*d. What is the remainder when s is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaannaaaa. Give prob of picking 2 a and 1 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 9 - (3135 - 3176).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316336?\nAnswer: 2, 17, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/3)\/((-4)\/3 + 39585\/29700)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1088 and 75\/54538.\nAnswer: 29668672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/39 + 3\/13. Suppose 3 = 3*v - 2*v. What is the third smallest value in k, 0.7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3608, 3861, 4122, 4391, 4668?\n\"Answer: 4*n**2 + 241*n + 3363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/30*(3 + -38). Sort 3, l, -6, -9, 0 in decreasing order.\nAnswer: 3, 0, -6, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18986783 times -0.2?\nAnswer: 3797356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 2*f)*(-2*f + 2*f - 3*f)*(3 - 5*f**2 + 26 + 8*f**2 - 2*f).\nAnswer: -9*f**4 + 6*f**3 - 87*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 6*s + 6. Suppose 25*g - 54 = 34*g. Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/12 + o**3 + 16*o**2. Suppose 0 = 3*d - 4*t + 3, 2 = -3*d + 2*t - 7. Let i(n) = 3*n - 7. Give d*b(g) - 4*i(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*l + 318*l - 1 + 305*l + 69*l**3.\nAnswer: 69*l**3 + 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521\/2 - 261. Which is the second smallest value? (a) -0.2 (b) q (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/21 + 52*y - 3222\/7.\nAnswer: -2*(y - 537)*(y - 9)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/4131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700) + sqrt(1700) + 1 + 2 - -2*sqrt(1700)*2 - -4*((sqrt(1700) - ((sqrt(1700) + 2)*-3 + sqrt(1700))) + sqrt(1700)))**2.\nAnswer: 12420*sqrt(17) + 900029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 656*d = -659*d + 27, -5*a - d - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 - 37 = -5*g, 3*g + z = 21. Suppose j + 41 = -2*b, 2*b = -2*j - 39 - 53. Let v = j - -53. Calculate the highest common factor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298 - -840. Let d = 337 - z. Let r = -204.9999897 - d. What is r rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/56 and -27\/198968.\nAnswer: 198968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559348900 rounded to the nearest one million?\nAnswer: 2559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 97122 = -2*y, 75522 + 118788 = 4*y - 5*u. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 46*u = 41*u + 5, -2*u - 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537525 divided by -3.\nAnswer: -179175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 16264.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 493385972.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, l - 6 = 3*g + 2*l. Suppose -10 = h - f, -5*h + 3*f - 25 = -3*h. What is the units digit of (-28)\/(-5) + g\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*j + 323, -17*h + 4*j = -15*h - 634. Solve 321*g - 8 = h*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -29*h**4 - 44 - 3 + 12*h**4 - 8*h + 8*h**2. Let z(y) = 6*y**4 - 3*y**2 + 3*y + 16. Let r(k) = 3*l(k) + 8*z(k). What is the derivative of r(g) wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7730591.\nAnswer: 11, 41, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 - 87)*25\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -2.04. Let a = 34.918 - -0.082. Let r = a + -35.3. What is the third biggest value in -2, r, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-9)*(-1293)\/4. Let g = t + -355. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 10*b. Solve -4*y - b = -13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 f, and 1 b when four letters picked without replacement from {b: 1, a: 1, k: 4, f: 4, j: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(-12)\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -44*d**2 - 5*d - 5. Let t be x(-2). Let s = -55 - t. Let j = s - 25. List the prime factors of j.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29822041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 223, 330, 439, 550, 663, 778?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {s: 4, v: 5, z: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**3 + 5*f**3 - 7*f - 22*f**3 + (f**2 - 3 + 3)*(-4*f + 2*f + 4*f) + f**3 - 1 + 1 - f**3 - 3*f**3 + 11*f**3.\nAnswer: 3*f**3 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1923392 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6546900?\nAnswer: 2, 3, 5, 139, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -256*j + 5822 - 702 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684 + 684 - c**2 + 154*c.\nAnswer: -c**2 + 154*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85988 - 41327. What are the prime factors of o?\nAnswer: 3, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.612 in 0.1, 0.02, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6119 * -3600.\nAnswer: 2202.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a + 3. What is the tens digit of a + 4*6 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598211 to the power of 1\/2, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4056\/156 + -37 + (-3572)\/(-324) + 0?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 10 = 2*h. Suppose -h*t + 30 = 2*o, 4*t - 5*o - 77 = t. Calculate the highest common factor of 152 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386288 divided by 16.\nAnswer: -24143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 52*w**2 + 450*w - 396.\nAnswer: -2*(w - 6)*(w - 1)*(w + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(-9 - 171\/(-18))*-4. Sort w, 17, 11 in increasing order.\nAnswer: w, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) -3\/7 (b) 1\/159 (c) -1\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.453 less than -0.1?\nAnswer: -9.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let l = -2 + o. Let i = 1.3 - l. Which is the third smallest value? (a) -0.3 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-21))\/(14\/(-49)). Let s = t - 5. Solve 3*n - 26 = 4*z, 10 - s = -z + 2*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 61. Let i(h) = -h**3 - 6*h**2 + 7*h + 6. What is the remainder when 11 is divided by i(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4 + 111*k**3 + 477*k**2 + 609*k + 246 = 0.\nAnswer: -2, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431155 + -11?\nAnswer: 431144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u*x**3*y**4 + 216*u*x**3 - 1334*u*y**3 + 3*u*y + 2*x**3 - 2*x**2*y**2 + 2*x*y**4 wrt y.\nAnswer: -24*u*x**3*y - 8004*u + 48*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + 10*g**2 - 5*g - 4. Let p(c) = -c**3 - c**2 + c + 1. Give -5*p(x) - w(x).\nAnswer: -x**3 - 5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4\/5)*g)\/g**(-19))\/((g*g**21*g)\/g*g**(4\/9)) assuming g is positive.\nAnswer: g**(-101\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {d: 2, b: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 + -61 - ((-21 - 23) + 49))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, 364832 in increasing order.\nAnswer: -2\/5, 0.1, 364832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.066, 6, -4415 in decreasing order.\nAnswer: 6, -0.066, -1, -4415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -13, -29, -51, -79?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 36*j**2 - 551*j - 5 + 17*j**2 + 537*j - 17*j**2. Let t(y) = 24*y**2 - 9*y - 3. Calculate -5*m(z) + 8*t(z).\nAnswer: 12*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 21 = -3*g. Suppose 2*p - 10 = -4. Suppose p*q = 3 + 15. Calculate the remainder when g is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(1331) + sqrt(1331) + 2 + -2 + -1.\nAnswer: -4 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 5. Let y be x(6). Let m(i) = 4*i - 1. What is m(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(190) + sqrt(190) + sqrt(190)*1)\/sqrt(5) + (-2*sqrt(304))\/sqrt(8))\/((sqrt(48)\/sqrt(3))\/sqrt(2) + -5*sqrt(32)\/sqrt(4)).\nAnswer: -sqrt(19)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21748*s - 1140*s + 106391*s.\nAnswer: 126999*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*g - 5*g - 48 = 0, -20 = -2*v + g. Let t = v - 4. Is t\/(-3 + 11)*136 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 23*g**2 - 8*g + 287. Is u(33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0 - h + 2 + h**2 + 4*h. Let y(n) = n**3 + 5*n**2 - n - 7. Let z be y(-5). What is x(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose o = -z - r, 3*z + r = 8*z - 14. Which is bigger: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 563800 and 44.\nAnswer: 6201800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let l = q - 8. Let c = -3 - l. What is the second smallest value in c, 5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 198\/24 + (-1)\/4. Solve 5*q - 16 = p, 2*q = -0*q + 4*p - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845274 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632059 a multiple of 1469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64680221 a multiple of 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 590084*g\/3 - 8851710.\nAnswer: 2*(g - 45)*(g + 885171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1022 = 49*m - 47*m. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3826, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from aiifififaf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -5*w**2 - 3. Let p(b) = -2*b - 2. Let z(t) = t**2 - 3*t - 3. Let f(g) = -3*p(g) + 2*z(g). Determine a(f(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 3*o - 3. What is i(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 524875910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -40. Let b = 41 + k. Let c = -0.1 - 0.3. Sort b, c, 2\/5 in increasing order.\nAnswer: c, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 124 = -56*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 + 4*d**2 + 27*d + 30. Let w be s(-5). Solve -2*u - w = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 + (3 + -1)*1. Suppose 0 = 5*r - 2*r - i. Let y be (-80)\/r*(-12)\/5. What is the greatest common factor of 80 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/8*(283 - 279)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 6*i - 601050 = 593442. What is i rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u - 3*u + 0*u)*(-u**3 + 4*u**3 - u**3) + 0*u**4 + u**4 + 2*u**4)*(1 - 4 + 1) + (5*u - 3*u + 0*u)*(-u**3 + 3*u**3 + 0*u**3).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 15*i = -20*i - 10, -i = 3*l + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(22) - -1*sqrt(22)*1)\/(sqrt(275) - (sqrt(275) + 1*sqrt(275))).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + (sqrt(272) - (-1 + sqrt(272))*1) + sqrt(272) + 5 + (sqrt(272) + -1)**2 + sqrt(272).\nAnswer: 4*sqrt(17) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 1. Let b(i) = 2*i**2 - 2*i - 2. Let z be b(2). Let n = z - -5. Is 4 a factor of y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**6\/600 - l**5\/150 + 3*l**2\/2 - 2. Let v(s) be the second derivative of u(s). Factor v(b).\nAnswer: -b**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdzz when four letters picked without replacement from {z: 2, b: 4, d: 8, s: 5}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 + 7*t - 40*t**2 + 24*t**2 - 3. Suppose -2*p - 4*m + 34 = 0, 3*m + 2 - 52 = -5*p. Suppose 2*h + 7 = -p. Give u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61083 (base 13) in base 7?\nAnswer: 1322220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -27, -2, 5 in descending order.\nAnswer: 13, 5, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 - 5*h**5 + 3*h**5 + (1 + 3 - 6)*(3*h**5 + h**5 - 2*h**5) + 3*h**5 - 4*h**3 + 4*h**3 - 163149*h**3 + 163149*h**3 + 11*h - 90*h**5.\nAnswer: -89*h**5 + 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -16. Let t(p) = -p**3 + 7*p**2 - 8*p + 14. Let k be t(6). Let h(f) = 8*f - 5*f + 3*f + k + 0*f. Let w(j) = -13*j - 4. Calculate v*w(o) - 9*h(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -44*k**2 + 25*k. Let r(l) = 396*l**2 - 220*l. Let j(s) = 44*n(s) + 5*r(s). Let v(x) = -8*x**2. Determine v(j(q)).\nAnswer: -15488*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/720 - z**5\/10 + z**4\/12 - 19*z**2. Let i(y) be the second derivative of g(y). Calculate i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i - 13. Let d(x) = 6*x + 12. Let s(w) = -w**3 + 2*w**2 - 2*w + 11. Let k be s(3). Give k*c(j) - 5*d(j).\nAnswer: -2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and ((-8)\/(-6))\/((-16)\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/(-4) - 15\/20. Which is smaller: p or -5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**4 + 651*z**3 + z**2 + 4266 wrt z.\nAnswer: -8*z**3 + 1953*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 432 = -17*r. Let a be (-24)\/r + 11*3\/(-27). Is a greater than or equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*d = 2*q + 144, 208 = -3*q - 2*d. Let u = 74 + q. Solve -u*f + 9*f + 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44109227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + n = 427, -4*n = -2*k - 0*n + 842. Let h = 435 - k. What is the remainder when 46 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 39*s + 20. Let k be p(6). Which is the nearest to -1\/4? (a) 1\/5 (b) -0.051 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u + u + 2*u)*(u - 2*u - u).\nAnswer: 2*u**4 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79736396 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = -9, 12 = 3*f + 3*l. Suppose -i = 2*i, -q = -3*i - 3. Suppose 2*d - 445 = -f*n - q*d, d + 555 = 4*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - i + 2*i)*(2*i**2 - 2 + 2) + 32*i - 15*i**3 - 32*i as h + n*i + w*i**3 + d*i**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Let b(i) be the first derivative of 10\/3*i**3 + 0*i**4 + 0*i + 0*i**2 - 1\/60*i**5 + 21. Let l(a) be the third derivative of b(a). Give h(l(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*w + 21. Suppose 3*g = -4*i - 19, 6*i - i - 5*g = 20. Calculate the remainder when w is divided by -1 + -1 + 17 + i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1581625*n**3 - 790802*n**3 - 790836*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -883.7436237 to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2181*t - 148316. Determine l(68).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 395361145 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450664 is divided by 1651.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-16))\/(4\/8). Suppose -j*v + 52701 = 4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*y**3 - 3)*(2 + 1 - 4 - 3 + 3 + 2 + (-2 + 1 + 2)*(4 - 2 - 4) + 1 - 3 + 0 - 2 + 0 + 3 + 2 - 3 + 0)*(62 + y - 3*y + 0*y).\nAnswer: -12*y**4 + 372*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*d + 10 = 0, -202*l - 72*d + 360 = -207*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6153098614 to the power of 1\/2, to the nearest integer?\nAnswer: 78442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 242?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 - 6. Let c(j) = j**2 - 13*j - 17. Let t be c(14). What is the remainder when (-3)\/((3\/126)\/(6\/(-4))) is divided by u(t)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*p - 413 - 380 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2236 divided by -4\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 2:38 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7070, 7050, 7018, 6968, 6894, 6790, 6650?\nAnswer: 6468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least as big as 278\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)*(1 + 3 - 11). What is the highest common factor of r and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 3) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -203555.26703?\nAnswer: 203551.26703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-25)*a*a**(2\/37)*a*a*a)\/(a**(-9)*a\/(a*a\/(a*a\/(a\/a**(-2\/17)*a)*a))))**(-3\/8) assuming a is positive.\nAnswer: a**(2790\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:30 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5036*c - 54. Let m be y(6). What is the units digit of (-22)\/143 - m\/39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 + 3 = 3*o, 6 = -2*a + 4*o. Suppose -4*d = -3*d - q, -a*d + 4*q - 1 = 0. Let v(g) = -12*g**2 + g + 1. Give v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 71. Calculate the greatest common factor of t and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-4)\/10))\/((-30)\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -631\/7 + 90. Suppose 5*x = -4*o + 3*o + 7, 5*x - 5*o - 25 = 0. Put x, k, 3 in increasing order.\nAnswer: k, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*v**2 + 35*v**2 + 21*v**2 to the form x + m*v + o*v**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5711, -45661, -154199, -365651, -714343, -1234601, -1960751?\n\"Answer: -5721*m**3 + 32*m**2 + m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 42*l**2 + 44*l + 5. Let h be k(22). Suppose 0*o = -h*t + o + 59, o - 29 = -3*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*y = 11 - 1, y = 4*r - 48. Suppose -r*n = -56*n - 10125. Which is smaller: n or -447\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2995600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*w - 14. What is the remainder when 44 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73147 or 950900\/13?\nAnswer: 73147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 447605568 a multiple of 3448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxa when three letters picked without replacement from {x: 5, b: 5, a: 1, w: 1, r: 2, l: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1471 + -1460. Let l(j) = j**3 + 6*j**2 - 6*j + 7. Let i(a) = 2*a**3 + 11*a**2 - 11*a + 13. What is q*l(b) - 6*i(b)?\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*49\/210*-5)\/((-2)\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294344, 588678, 883012?\nAnswer: 1177346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 1. Let r be k(-4). Let z = 148 - 160. What is the tens digit of (-13 - z)*-1*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, b: 1, c: 1, a: 2, l: 1}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 0.1, 1\/4, -540?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124989*s + 2 + 249978*s - 124987*s + 45*s**2)*(-2*s**2 + 2*s**2 - 2*s**3).\nAnswer: -90*s**5 - 4*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-240)\/(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m**2 + 100*m**2 - 62*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-20))\/((-15)\/(-12)). What is the nearest to c in -1, 0.5, 11\/2, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 5*c + 11. Let m be w(-6). Let y(n) = 21*n + n**2 - 2 + 3 - m*n. Determine y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u. Let m(c) = c - 264927. Determine v(m(r)).\nAnswer: 2*r - 529854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -242*(-179)\/(-3938) - (-2 + 81)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 - -149. Let a(v) = v**2 + 10*v - 6. Let p be a(z). Let x(i) = i**2 - i - 7*i**2 - 5*i**3 - 7 + 4*i**3. What is x(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007943274734 to seven dps.\nAnswer: -0.0079433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -6)*(114\/(-39) + 3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6, -5, 3, -3\/16969?\nAnswer: -3\/16969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2151*i + 440*i + 539*i)*((1 - 1 - 2)*(-1 + 1 - 4) + 1 + 0 + 0).\nAnswer: 28170*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/120 - p**5\/12 - 5*p**4\/24 - p**3\/3 + p**2. Let z be s(-7). Find the second derivative of f**3 + 3*f - z + 131 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 5*l - 3*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -18073b0?\nAnswer: 18073ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 708035, 708034, 708033, 708032, 708031, 708030?\nAnswer: 708029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - a + 1. Suppose -5*g - 4*f = -21, 2*g = -2*g + f. What is the units digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 + 20 + -9 + 34 + -25\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 9. Let q be k(7). Suppose -2*z + 6*z + q*z**4 - 22*z**2 + 32*z**3 - 13*z**4 - 6*z**4 = 0. What is z?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-9)\/(-3))*(-5)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 5 (c) -86 (d) -1\/16 (e) -1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, -1\/9, -1\/10 in decreasing order.\nAnswer: -1\/10, -1\/9, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 336703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59005 - -122551. Let g = t + -63507.9915. Let b = -38 + g. What is b rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463794185 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-4)*(-1084)\/813*(-11)\/(847\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -4*j + j = -6. Suppose j*f = -0*x + n*x - 2, -3*x - 2 = -4*f. Solve -y + f = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) - (304584\/(-63))\/28. Solve 20*h + n = 32 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 108 = -0*m. Let w = 52 + m. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143578?\nAnswer: 2, 571789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 32*m + 36*m - 92*m + 29*m + 23 = 4*g, -2*g + 5*m + 18 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a factor of 318246669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1990, 3974, 5958, 7942, 9926, 11910?\nAnswer: 13894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31 + 0.11. Let h = 0.9 - -1.1. What is the closest to o in -0.5, h, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58613166?\nAnswer: 2, 3, 1085429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 5 + 3 - 22*n + 1.\nAnswer: -18*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 716891423 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2763 - -2741. Let y(k) = 38*k + 2. Let j be y(1). Suppose -78 = 4*h - 4*l - 6, 0 = 2*h - l + j. Is o at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210530873 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -1291\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5520 by 18950.\nAnswer: 552\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 375101076 divided by -7941\nAnswer: -47236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4300 (base 12) to base 15.\nAnswer: -2299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 0.2 (b) -3\/8 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -432 + 1608?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68 and -2.5?\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p - 2. Let n be 2\/(-1) - -2*1. Let k(i) = -i**3 - i**2 - i - 5. Let x be k(n). Is 14 a factor of y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000160415501 rounded to seven dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-5814)\/(-945)) - 2*-3\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 109, 146, 173, 190, 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*u = 266*u - 302*u + 42711 - 5421 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005128270.\nAnswer: 2, 5, 173, 283, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7891395 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24741.9971 - -0.2.\nAnswer: -24741.7971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 101673*g*x**3 + 14*g + 1102443*x**3 - 8*x**2 wrt g?\nAnswer: 101673*x**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c**2 - 11*c + 13. Let k(p) = 5*p**2 + 4*p - 4. Let a(o) = -11*k(o) - 4*y(o). What are the prime factors of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 21*q - 1159. What is a(55)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121751083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -47 + 43 - 30\/(-7) - (-3846)\/14 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0*t**3 + 8 + 1511*t**2 - 1526*t**2 - t**3 + 0*t**3. Suppose w - 14 = -2. What is the smallest common multiple of w and u(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (-3230)\/50 + 6.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.7 != 466\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 250984 + 4?\nAnswer: 250988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o**2 - 5*o + 10. Let k(s) = 61*s**2 + 21*s - 42. Let d(p) = -13*b(p) - 3*k(p). Let a(z) = 3*z**2 - 5*z + 9. What is -2*a(x) - 5*d(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008641 + 777258 + 2049413 = 104*x. List the prime factors of x.\nAnswer: 2, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -318*z + 11284. Let n be a(32). Solve 1106*k + 8 = n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7 - l + 0*l + 0*l + 2*l. Let j be q(-7). Let b be (-2 - -4)*(-22)\/(-99). Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4, -i + 4*u - 11 = 2*u. Let h = -11 - i. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222 - 201?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 52.23. Let s = x + -0.13. Let m = -0.897 - s. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 488*d - 960.\nAnswer: -4*(d + 2)*(d + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((527 - 293 - 281)*(-3*i**2 + i**2 - i**2) + 3*i + 2*i**2 - 3*i)*((0 + 0 - 2)*(-2*i - i + i) + 2 - 2 - i).\nAnswer: 429*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2698+984966700\nAnswer: 984964002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 + -191. Calculate the remainder when 136 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 8.2 (c) -0.5 (d) 3 (e) -1 (f) -0.102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/25, 0.01, -0.4, -0.01, 3, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, 0 in descending order.\nAnswer: 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, z: 3, h: 6, x: 2}. Give prob of picking 2 x and 1 z.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**6\/9 - 32*y**5\/5 - 175*y**4\/2 + 2500*y**3\/9 - 27. Factor r(t).\nAnswer: -2*t**2*(t - 2)*(t + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/65*(-10)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 26*v**2 + 5. Let j be g(-26). Suppose j*i - 3*i = 322. What is the remainder when i is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1120454, 1120454, 1120432, 1120376, 1120274, 1120114?\nAnswer: 1119884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 + 2*l**4 - l**4)*(-l + 0*l - l) + 0*l**5 - 2*l**5 + 0*l**5 + 3*l**5 - 12*l**5 - 3*l**5.\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1719958136 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 653\/6 (b) -1.4 (c) 4 (d) 0.07 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490742 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -576079.176 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 2)*(-4*s + 0*s + 2*s)*(s + s + 2*s + (-2*s + 3*s - 3*s)*(-4 - 1 + 3) - 4*s + 5*s + s - 2*s + 1 - 1 - 6*s + 21*s + 26*s).\nAnswer: -784*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/14*12*2. Suppose 4*o = -16, -4*h - 3*o = -4 - 0. Calculate the common denominator of 32\/5 and g\/(-22) + (3 - h).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.83 - -621.17. Let u = o + -628.0869. What is u rounded to 3 decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9366, 18719, 28038, 37305, 46502?\nAnswer: 55611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00927647 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*t + 2*a - 698, 2*a - 4 = 0. What is the greatest common factor of 345 and t?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 244 + -259. What is the hundreds digit of 1101 + (12 + t)*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*w + 68*w - 18310 + 130246 = 0. Which is bigger: 0.04 or w?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -162792708, -162792710, -162792712, -162792714?\n\"Answer: -2*u - 162792706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019019.\nAnswer: 3, 339673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9589, 38411, 86457, 153721, 240197, 345879?\n\"Answer: -s**3 + 9618*s**2 - 25*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293151 (base 10) in base 8?\nAnswer: 1074437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (56 - 49 - (-2 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 95993242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, -3\/25, 0.5 in decreasing order.\nAnswer: 0.5, -3\/25, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.196298 grams to kilograms.\nAnswer: 0.009196298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111322 + 3?\nAnswer: 111331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x - 16*x - 22 - 5*x + 0*x. Let z be r(-8). Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 - 7*v - 4. Let n be b(-4). Let u be n\/(-2) + -1 + (0 - 2). Is ((-2204)\/(-8))\/(u\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29211\/5 - 5842. What is the third smallest value in -12, t, 0, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*6\/15)\/((-5)\/300). Suppose 4*u + 9 = 17. Solve 18 = -4*o - 2*r, -2*r = 4*o + u*r + a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2418536806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 12*x**2 + 11*x + 14. Let a be s(-11). Suppose -3*w = -4*c + c - 24, 3*c = w - a. Solve -w*m + 2*p + 2*p + 9 = 0, -4*m = -5*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/374 and 77\/188156.\nAnswer: 2069716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -33, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107882317 and 862.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 28626.\nAnswer: 2\/14313","meta":{"dup_signals":{},"source":"arithmetic__div_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: Is -49161 < -4375229\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 289 divided by 1\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 507.7 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149566 and 6806?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5268 + 10437. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 170.583ng?\nAnswer: 0.170583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13933956.87 and -27.\nAnswer: -13933983.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by 94.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103436809, 103436811, 103436813, 103436815?\nAnswer: 103436817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r - 7*r)*(r - 2*r + 2*r)*((1 + 3 - 3)*(1 + 3 - 3) - 1 - 3 + 3 + 2 - 6 + 3).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -0.065779649725.\nAnswer: 5.934220350275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 1, h: 4, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 2*x**2 + x. Let z(t) = -404*t**3 + 2*t**2 - 20. Let d(s) = -a(s) - z(s). What is the second derivative of d(u) wrt u?\nAnswer: 2418*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(-12)\/1. Suppose -3*j + m = j. Suppose -j*q + 5 = -q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ekekee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -2136.76.\nAnswer: -2136.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -27.2. Let y = -0.8 - w. Let l = y + 7. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (800 - 0)\/(4 + (-404082)\/101025). Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4 = -12. Suppose s*t + 3*m - 10 = 0, 0 = 5*m - 15 + 5. Solve 4*x - x + 10 = b, 4*b + 30 = -t*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46921\/12 + 3919. What is the common denominator of 1886\/672 + (-4)\/14 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let p(s) be the first derivative of -s**3 - 8. Give p(q(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l - 8*l + 10*l - 10*l. Let v(b) = -b**2 - b. Let u(s) = -16*s**2 - 14*s. Let r(y) = 4*u(y) - 56*v(y). Give r(n(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -14. Suppose -5*r + 14 + 66 = 0. Suppose 0 = -2*b - 4*k + 10, b - k - 4*k + r = 0. Sort b, 1, f in descending order.\nAnswer: f, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 2*y**2 + 2*y - 2. Let t be r(2). Suppose -5*g + 18 = -t. What is the second derivative of -f**4 + 2*f - f**g - 4*f wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -615214457 divided by 10219\nAnswer: -60203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 2*f = 7*j + 28968, 0 = -4*f. List the prime factors of j.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 516 = 3*h. Let o = -45 - h. Let y = -33 + o. Calculate the highest common factor of y and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14006876 and -0.04.\nAnswer: 14006875.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1296, 1294, 1286, 1266, 1228, 1166?\n\"Answer: -s**3 + 3*s**2 - 4*s + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761244?\nAnswer: 2, 3, 11, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/5 - 69*w**2\/5 + 144*w - 2052\/5 = 0.\nAnswer: 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -113?\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5379 + 7738. What is the remainder when c is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8537 is divided by 100?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394507, 394511, 394517, 394525, 394535, 394547?\nAnswer: 394561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000101101 (base 2) to base 13.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8777 rounded to one dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 579 = -1441. Suppose -3*a = -4*j - 7572, -3*j - 5*a - f = 3659. Let s = 28107 - j. What is s rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**3 + 62*l + 15*l**2 - 15*l**2 - 35*l**3.\nAnswer: -4*l**3 + 62*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245532 by 777.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 728, 943, 1172, 1421, 1696?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 b when four letters picked without replacement from {n: 6, b: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1197758?\nAnswer: 4791032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1 - (11 - (5 + 15))) + 31 + -55.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 3*y**2 + 2*y - 1. Let o be (5\/((-10)\/4))\/1. Let a be j(o). Let g be (-2)\/3*12\/28. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2325.7, -56.4, 5 in decreasing order.\nAnswer: 5, -56.4, -2325.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 746, 747, 748, 749, 750?\n\"Answer: b + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -318, -3\/4, 3, 21, -5 in descending order.\nAnswer: 21, 3, 0.4, -3\/4, -5, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16709\/24 + -696. Let d(x) be the third derivative of 7\/60*x**5 + 10*x**2 + 0 + 0*x + 1\/120*x**6 - 2\/3*x**3 + w*x**4. What is d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 290746419 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -10\/3, -0.5, -12 in decreasing order.\nAnswer: 6, -0.5, -10\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, e: 3, d: 2}. What is prob of picking 2 y and 1 e?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -10605?\nAnswer: 10609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/1999996 and 37\/55118.\nAnswer: 13999972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m + 3*w + 12, -3*w - 12 = -m. What is the third smallest value in -1, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.967878498 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + 0*g**3 - 3*g**3 + (g + g + 0*g)*(3*g**2 + 2*g**2 - 3*g**2) + 4*g**3 - 4*g**3 + g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:20 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/65*(-40)\/108\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 14594230*y**5 + 16 + 14594625*y**5 + (4*y**3 - 2*y**3 - y**3)*(3 - 2*y**2 - 3) + 6*y - 6*y + 3*y**5.\nAnswer: 396*y**5 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-4)\/14. Let t = 0.1 + -0.1. Which is the biggest value? (a) f (b) -5\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944586 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(720) + (sqrt(720) + (3 + sqrt(720) - sqrt(720))*3 - sqrt(720)) + (sqrt(720) - (0 + sqrt(720) + -2)) + -3*sqrt(720) + -3)*4)**2.\nAnswer: -6912*sqrt(5) + 47376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 3*m**2 - 2. Suppose -f - 4*f + 10 = 0. Calculate the remainder when (2 - 6 - -3)*-5 is divided by a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218016 is divided by 69734.\nAnswer: 8814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:50 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10630 divided by -5.\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5085139 from -6.357374.\nAnswer: -5085145.357374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b3ef - -91?\nAnswer: b480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.6204 and -0.879?\nAnswer: 8.4994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/15 - 7978*p**3\/15 + 346852*p**2\/15 + 134224*p\/5 - 709632\/5 = 0.\nAnswer: -4032, -3, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 4 (c) -416741 (d) 0.4 (e) -4\/7 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, y: 6, e: 7}. What is prob of picking 1 z, 1 y, and 1 e?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let l = 4 + 1. Let n = l + -6. Which is the closest to f? (a) -5 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, s: 1, q: 1, w: 2, b: 2}. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 + 424. Let g be ((-2 - -3)\/(-3))\/(p\/(-168)). Do -106 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -3*p**2\/2 + 13*p - 13. Let s be o(6). Let u(b) = -2*b + 2*b + 3 - b**2 + 0*b - 4*b. Calculate u(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21327*w - 138. What are the prime factors of b(2)?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122*q*w + 226*q wrt w.\nAnswer: -122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0092519 rounded to 4 dps?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29)\/((-1)\/25*-5). Let q = -139 - o. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6149 - -7021. What is the remainder when u is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from bbbbebeb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 4*o - 7. Give p(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28534 is divided by 246?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 0. Suppose i*j - 15 = 3*j. Solve 20 = -10*g + j*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2777, 2779, 2781, 2783, 2785?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + t = 132, r + 0*r + 28 = t. Let f = r - -31. Solve -a - 2*p + 4 = 7, f*a + 2*p + 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327129 or 3?\nAnswer: -327129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12643 + 12643 + 11*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b + 19. Suppose -62 - 19 = -b*d. Suppose d*g + 9627 = -6213. Round g to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:17 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4)*(-4)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7796501\/470 - 6\/20 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**3 - 11*k**3 - 3*k**3 + (10*k**3 - 4*k**3 - 3*k**3)*(1 + 24 + 16).\nAnswer: 102*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (1\/(-4))\/(-4 - 35\/(-9)). Which is the smallest value? (a) m (b) 155 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 6 = -2*q, -1 = -d - 3*q. Let t = 142565\/24 + -12965335\/2184. Let c = t - 3\/91. Put d, c, -0.4 in descending order.\nAnswer: d, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/270 + 854*r**5\/135 + 1705*r**4\/54 + 568*r**3\/9 - 2*r**2 - 1153*r - 1. Let a(p) = 0. What is p?\nAnswer: -852, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 11, x: 2, e: 4}. Give prob of picking 1 p and 2 e.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -21143640 + 21143640 + 111*d**2. Let h(f) = 2*f - 12. Let c(t) = -t + 5. Let g(j) = -12*c(j) - 5*h(j). Give g(v(i)).\nAnswer: 222*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4859546 to the nearest integer?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 + 2955162*v.\nAnswer: -2*v*(v - 13298229)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:29 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2*f = 0. Solve f = -72*a + 79*a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (15 - (8 + 0)) + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -822, -818, -814, -810, -806?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18696341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 5*x - 31. Let d = 62 - 71. Let f be v(d). Suppose 5*m = m. Solve -2*p + 3 = 2*c - f*c, 4*p - 4*c - 8 = m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 53 = v, -2*x = 8*v - 3*v + 237. Let a be (3 - (3 - 1))*(-77)\/v. Let b = 129\/91 - a. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3469 (base 12) to base 14.\nAnswer: -21b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33494407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.15 - 25.25. Which is the nearest to 0? (a) -5 (b) -7 (c) p (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13238 (base 9) in base 14?\nAnswer: -338d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-1)\/4). Let x be f\/(-1)*21\/14. Differentiate -11*a - 1 - x*a**3 + 11*a + a**3 with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:52 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4\/3 - 10*x**3\/3 - 4595*x**2\/3 - 11960*x\/3 + 57600 = 0. Calculate x.\nAnswer: -27, -8, 5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -3\/2, 0.5, 952, -0.147, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/16*4\/15. Let g = -1554 - -1549. What is the biggest value in w, -2\/9, g, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 45*m + 373. What is k(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329433 by -3.\nAnswer: 109811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2980421.1 months to millennia.\nAnswer: 248.368425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9, -1118, 2, 1 in decreasing order.\nAnswer: 2, 1, -7, -9, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*m + 56, 0 = -5*n + 4*n + 4*m - 7. Let u(f) = f - 1. Let w be u(6). Let q = n - w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.063, 1\/9, -0.4, 0.02 in increasing order.\nAnswer: -0.4, 0.02, 0.063, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = 5*n, y - 1 - 2 = n. Let m be 9\/y + (-51)\/18. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(((g**(-29)\/g)\/g)\/g)\/g*g)\/(g*g\/g**(2\/11)*g*g)*g**9*g*g\/(g\/(g\/(g\/g**22*g))) assuming g is positive.\nAnswer: g**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294237 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*d + 223. Let u = -18 - d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -256, -384, -512, -640?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = 24. Let f = 7 + s. Let m = 1 + 0. Solve q + b - m = 0, 5*q - 2*q - f = -4*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -10577635?\nAnswer: 63465810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbibjbsppibp. What is prob of sequence pi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1277 = 3*n, 2*i + 4*n = -191 + 699. Suppose -253*k = -i*k. Suppose k = -2*y + 4*t + 312, -319 = -2*y - t - 2*t. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 + -321.01. Let y = 2.49 - j. What is the second smallest value in 44, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*u**3*y**2 + 105*u**2*y**2 + 33*u*y**2 - 13*u*y + u wrt u?\nAnswer: 210*u*y**2 + 210*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 15 + 15)*(-4 + 1 + 1)*(-3*m + 7*m - 2*m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 20. Suppose -l = l - k. Suppose -8 = s + 2*j, 0 = 2*s - l*j - 0*j - 14. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*f - 723228, -f = -2*x - 6*f - 723214. Let w = 1813666\/5 + x. Let y = 1125 - w. Is 0.2 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 246 - 109 = 0. Let s = -69 + w. Suppose -s*a - 630 = -5*a. Round a to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*o + 62, -5*o + v - 5*v = 173. Which is smaller: -36 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233289\/5 + -47601. Which is bigger: -942 or h?\nAnswer: -942","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63133 divided by -1.\nAnswer: 63133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2989174992 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 150 (b) 0.06 (c) -1172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179264*c**2*j**2 - 15*c**2*j + 2513*c*j wrt j?\nAnswer: -358528*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*g - 181*g = 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:04 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(1\/4))))**(-18)\/(r\/((r*r**(1\/3))\/r)*r*r**(-2\/9)*r)*((r*r*r*r**(2\/9))\/r*r*r\/(r\/r**4*r))\/((r\/r**(1\/3))\/r**(-8)) assuming r is positive.\nAnswer: r**(-493\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 157596*h.\nAnswer: 4*h*(h - 39399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/11 and -101\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 28*j**2 - 4*j + 117. Let o be z(28). List the prime factors of (-1432)\/(-2) + o\/((-40)\/24).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 5*sqrt(200)*-2 - (sqrt(200) + 3*sqrt(200))*4) + -6*(sqrt(200) - (sqrt(200) + 2 + 2*sqrt(200))) + -3)**2.\nAnswer: -2340*sqrt(2) + 33881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 4 - 40. Let c(t) = 12*t**2 - 2*t + 5. What is the remainder when c(k) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33943 at least -242\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.2 (c) -3 (d) 0.3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuauuaaaa. What is prob of sequence uaua?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 4. Suppose 0 = 21*h + 85 + 88 - 194. Sort w, h, 5 in ascending order.\nAnswer: h, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*65\/(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157358967?\nAnswer: 3, 1439, 36451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*o + 240*o - 4*y - 36 = -234*o, -25 = -2*o + 3*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/390 and 61\/7630?\nAnswer: 297570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (116\/(-108))\/(69\/(-9) - 4\/(-6)) and -62\/63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 1, q: 3}. What is prob of picking 2 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-2\/7)*r))\/(r**(-2\/3)*r))\/((r\/(r*r**7*r))\/(r*r*r**(1\/6)*r)))\/((r*r**(-4)*r)\/(r**(-2)*r))**(-12) assuming r is positive.\nAnswer: r**(-37\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*n + 20 = 2*n, 5*n - 20 = 0. Let f(t) = -4*t + 5. Let y be f(b). Let z = -39 + 39. Solve -2*h + 2*u - 10 = 0, -h + 2*u - 1 - y = z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8224523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 19. Let c = 12 + -2. Let i(v) = -3*v**2 - 18*v + 4. Let q be i(-6). Solve -q*d = t - 8, -5*d + c = -t + l*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 313*r + 174. What is the hundreds digit of w(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 0 + sqrt(75) + 4)*6 - -1*-2*(sqrt(75) + (sqrt(75) + -1 - sqrt(75)) - sqrt(75)))**2 + -3.\nAnswer: 3120*sqrt(3) + 11473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3328 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/4*(-1)\/2. Let t = -692\/15 - -46. Which is bigger: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*x + 6383 = 132*x + 10113 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(x**2 - 3*x**2 + 4*x**2) + 0*x**2 - 3*x**2 + 4*x**2 + 11001 - 506*x**2 - 11001 in the form n + y*x + q*x**2 and give q.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2834386.24 to the nearest ten thousand.\nAnswer: -2830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (110\/(-22) - -11)*(-4)\/54. What is the closest to 0.1 in 0.2, b, -0.1, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + g + 0 - 1 + (-g + 1 - 1)*(-3 - 3 + 4))*(21936*g + 8406*g - 3811*g) to the form m*g + j + r*g**2 and give r.\nAnswer: 79593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 0. Suppose z = -3*l + j + 1, -3*l + 11 = 2*j - j. Suppose 75 + l = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1207722 (base 9) to base 11.\nAnswer: 408313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14756469 - 321.\nAnswer: -14756790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:24 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.6 + -24. Let p = 10.34 - x. Let m = -0.35 - p. What is m rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n + 0*n**4 - n**2 + 0*n**5 + 0*n**3 + 4 + 1\/6*n**6. What is the second derivative of o(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -2.01. Let o = 368 - 368.4. Let g = -4 + -1. Which is the nearest to f? (a) g (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1016 - -7733. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**14)\/(h\/h**(3\/2)))\/(h*h\/((((h*h**(-7)*h)\/h)\/h)\/h))**(-7\/9) assuming h is positive.\nAnswer: h**(437\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2255 and -103\/410.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j + 1560 = 64*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 325\/(-750) + (-1 - 5\/(-6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)*w**(-6)*w**(-2)*w\/(w\/(w*(w**(-7)\/w)\/w*w*w)) assuming w is positive.\nAnswer: w**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 6*c + 11. Let q be u(-7). Suppose -a - q*t + 9 = -0*a, -3*a + t = -14. Solve -6*i - b = -4*i + 5, 5*b - a = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68c6f2 (base 16) to base 2\nAnswer: -11010001100011011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6109*o - 277 = 6259*o - 13627 for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 388526116 a multiple of 2673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(((-6720)\/42)\/(-20))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/120*6)\/((-28)\/1344).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*q = 11*q, -14 = 2*w + 5*q. Let r(m) be the second derivative of 1\/6*m**w + 0 + 1\/28*m**5 + 1\/210*m**6 + 3\/28*m**4 - m + 1\/7*m**2. Factor r(h).\nAnswer: (h + 1)**3*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w + 102*w = -22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126624)\/72*(-132)\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-1 - -2))\/(3\/120). Which is smaller: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22 - 0.08. Let a be 6\/(-10) + 8\/20. Sort b, 0, a in ascending order.\nAnswer: b, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 88\/(-14) - -3*2\/21. Let z(h) = h**3 + 6*h**2 - 3*h + 3. Let c be z(v). Find the second derivative of 2*t + 9*t**4 - c*t**4 + 0*t wrt t.\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1, -0.16, 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51.7 (b) -17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 1816, 2284, 2754?\nAnswer: 3226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 197069?\nAnswer: 197065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 345 or -29\/35519?\nAnswer: -29\/35519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -4. Suppose -2*w + 2 = -50. What is the remainder when u is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21078?\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12*490*(-11)\/(-924)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 364211 + -3?\nAnswer: 364205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d - u + 4, -2*u = -5*d. Suppose -4*l + d*l + 62 = 0. Let f = 247\/8 - l. Which is smaller: -2\/5 or f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - 3280\/(-330))*3. What is the smallest value in -4, i, -1.1, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -439*k + 211*k - 449*k + 89*k - 181*k + (-3*k + k + 4*k)*(1 + 1 - 4) as m*k + b and give m.\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let m(u) = 4*u - 3. Calculate -2*m(x) + 6*t(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 24*g**2 + 20*g + 1122. Let a be z(-25). Let s(d) = -d - 36. Let u(c) = 1. What is a*u(j) - s(j)?\nAnswer: j + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (2 - (8 - 7))) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -391317723*o**3\/4 - 391386249*o**2\/2 - 68529*o - 6.\nAnswer: -3*(o + 2)*(11421*o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152141303 to the power of 1\/2, to the nearest integer?\nAnswer: 12335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1327713 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 121, 186, 251, 316, 381?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14298412 is divided by 159?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, -3\/364, 168?\nAnswer: -3\/364","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-245)\/(6\/(-18)*1)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846376 by -211594.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwzkkuzkudfk. What is prob of sequence wfk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*5.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rerrerrrrerrrrrrrr.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -3\/2*y**3 + 88*y + 0 - 1\/2*y**2. What is o(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/621 and 7\/585.\nAnswer: 40365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 divided by -27.\nAnswer: -199\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -1033301.5?\nAnswer: 723311.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 1\/174?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o + 3. Let d(c) = 2*c - 2. Let y = 781 + -777. Determine y*s(q) + 5*d(q).\nAnswer: 4*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34511\/15 + -2303. Let p = -25567489\/150 + 170449. Calculate the common denominator of p and t.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636120773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350011 is divided by 4079.\nAnswer: 3941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 5*g + 3. Let j be y(-5). Let a = 26 + j. Calculate the remainder when 11 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477 by -9.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u - 5. Let v(o) = -o + 2. Let m be (25\/15)\/((-5)\/(-6)). Let f(q) = m*v(q) + b(q). Give f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.887 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-4)\/12)\/2. Suppose 4*k = -8, -2*g + k + p*k = -76. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -652 + -2?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*t + 42*t = -158*t - 152*t - 61360 for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(2 + 13)*(13 + 75\/(-5)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(32\/(-192)). Suppose -534 = -5*q + 4*h, -w*h + 243 = 5*q - 319. What are the prime factors of 4 + -5 + q + 3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 3)*(-4 + 2 + 0) - 1 + 1 + 1)*(105*a**4 - 69*a**5 - 105*a**4).\nAnswer: 69*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 39 = 26*w. Suppose w*t - 1317 + 342 = 0. What is the highest common divisor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18950 is divided by 6157.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11322 + 11322 - 13*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35517, 35520, 35513, 35490, 35445?\nAnswer: 35372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 24618680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:30 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.68692756 and -4?\nAnswer: -2.74771024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = -0*c. Let u be (0\/(-5))\/((-2)\/c). Find the first derivative of 5 - p**2 + 2*p**2 + u - 2*p**2 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4929 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 0.1 (c) 3\/2 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1264 - 944 = 8*h. Calculate the highest common divisor of h and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55950 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -2. Let g = o - -4. Let m = g - 2.4. What is the closest to 0.1 in -1\/7, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 42 = -4*m - 2*d, 4*m + 40144*d = 40139*d - 57 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -339298420*-0.5\nAnswer: 169649210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1225 and 282450?\nAnswer: 1977150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + i + 1. Let k(f) = -5*f**2 + 16*f - 44. Let a(p) = -k(p) - 3*t(p). Find the first derivative of a(m) wrt m.\nAnswer: -2*m - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2511 + 907\/175770. Let u(q) be the second derivative of 8*q + 0*q**3 + 2\/15*q**4 - 3\/25*q**5 + 0*q**2 + 0 + 1\/25*q**6 - p*q**7. Factor u(z).\nAnswer: -z**2*(z - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 - l + 1. Let o(s) = 5*s**3 - 3*s**2 + 2*s - 3. Let g(v) = -o(v) - 6*w(v). Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3639*i**3 - 62*i wrt i?\nAnswer: 21834*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(12)*1)\/sqrt(6) - (5 + sqrt(14)\/sqrt(7)).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.1848 litres in millilitres?\nAnswer: 417184.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 7*n**4\/4 + 29*n**3\/3 - n**2 - 24*n + 949. Suppose f(y) = 0. What is y?\nAnswer: -4, -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -0.073 (b) 0 (c) -1 (d) 1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12689 (base 15) to base 7\nAnswer: -333405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-175)*(-25)\/1*(-4)\/3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 320 = -y, 3*b - 2*y + 1188 = 229. Round b to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -101 (c) -4 (d) -2 (e) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 3 (c) -1 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*d + 2016 = 0. Let r = -871\/3 - d. Does -3 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 10, -18*y = 2*l - 14*y - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-57.47\nAnswer: 5.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from ekllklljkklxllmklelk?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y - 20. Suppose 11 = 3*i - 19. Let p be ((-24)\/20)\/((-3)\/i). Is r(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (7 - (8 - -1 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3000110 to the nearest 10000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4880277067747.00081 - 4880300948377. Let v = h - -23880777. Let g = v - 147. What is g rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 60*c**2 + c. Let i(t) = t + 110. Determine i(y(m)).\nAnswer: 60*m**2 + m + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(160)*-2 + -5*sqrt(160)*-1)\/((sqrt(72) - (sqrt(72) + sqrt(72)*4)*6 - sqrt(72))*-6).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 0.25539.\nAnswer: -1.74461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 5)*((-1 + 1 + 1)*(1 + x - 1) - 2*x - x + x - 22*x - 63*x + 2*x) as m + b*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15*c - 3 + 3*c**2 + 10*c - 46*c. What are the prime factors of p(9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 5*i**2 - 7*i + 5. Let a be t(6). Let h be (-8 - 1) + 4\/2. Let c be (h*3)\/a + -1. Solve 0*f + 4*f + c = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/16*2*-4. Let b(i) = 3*i**2 + 1 + i**2 - 4 - i**g - 2. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 (base 14) in base 9?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103210031 (base 5) to base 7.\nAnswer: -51660041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + 2*g)*(-g**4 + 2*g + 0*g**4 + 3*g**4).\nAnswer: 8*g**5 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 - 55 = 0. Let i be (-28)\/(-13) - (-2)\/m. Solve -i*n + 6 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906038 is divided by 3839.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285296 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 - t**2\/8 - t\/2 + 1\/2.\nAnswer: (t - 2)*(t - 1)*(t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 = 2*n - 3*g + 310, 3*n = -2*g + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11400, -11392, -11374, -11340, -11284, -11200, -11082, -10924?\nAnswer: -10720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 + 4 = 0. Let r = 0 + 2.2. Let v = -7.2 + r. What is the biggest value in -2, v, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3584*l**3*p**2 - 127616*l**3 + 117*l**2 + 3132*l*p**3 wrt p.\nAnswer: -7168*l**3*p + 9396*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*-1 - (-2 + 3). Let f be 6\/8 + (-506)\/m. Let u = -27 + f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 102084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -1544, -5200, -12312, -24032, -41512?\nAnswer: -65904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = d - 11, 2*d - 42*m + 43*m = 12. Determine l so that 1\/7*l**d - 2\/7 + 1\/7*l - 2\/7*l**3 + 4\/7*l**2 - 2\/7*l**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-640)\/112)\/2 + (-240)\/(-168).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 - 3147*i - 3301203\/2.\nAnswer: -3*(i + 1049)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2. Let o(v) = 12*v**2 - v**2 - 16*v**2. Determine 6*l(b) + 2*o(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -35. Suppose 4*u + 193 = 417. What is the highest common divisor of i and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20191 - 20191 - 122*i.\nAnswer: -122*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 35231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 9835.\nAnswer: 9835.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*(-1)\/(-1). Let l be 83\/7 - (-504)\/(-42). What is the smallest value in 0, j, l, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s + 7. Let a be c(6). Let w be ((-5 - 4)\/(-3))\/a. Suppose w*p + 20 = -p. Do -5 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105511 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -7*c**4\/4 - 5*c + 6. What is the first derivative of d(o) wrt o?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 46*x + 162 = 35*x. Solve x*j + 2*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:52 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-8 + 4) - -6) + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 44*a**2 + 25*a - 5. Let m(z) = -56*z**2 - 33*z + 7. Let x(v) = -13*j(v) - 10*m(v). Let u(p) = -228*p**2 + 96*p - 96. Determine -5*u(w) + 96*x(w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7977176 and 456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6252, 10647, 15042?\n\"Answer: 4395*a + 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -f - 83. Let s be 44\/(-18) + 2 - 0. Is s greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18423847 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/15 + (-2)\/(-15) + -203. Let p = d + 722. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103813 divided by -14?\nAnswer: -103813\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 6*a + 22*a - 1827. Calculate the remainder when 205 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 4, -0.07, -0.227?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*z - 34, 3*k + z = -4*z + 56. Let w = k - 25. What is the closest to -0.1 in w, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 16*f - 13. Calculate the smallest common multiple of 254 and f.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4616305595.\nAnswer: 5, 11, 241, 348269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 731 = -5*m, 4*m - m = -2*g + 393. Calculate the remainder when 95 is divided by 9\/(g\/(-6)) - (-340)\/14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -46.67. Let x = f - -0.33. What is the nearest to 0.1 in x, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 23 - (0 + -1 - (83 + -78))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6448, -6441, -6448, -6475, -6528, -6613?\n\"Answer: -h**3 - h**2 + 17*h - 6463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let r be ((-57)\/(6\/(-2)))\/p. Let n = r + 45. Calculate the greatest common factor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**5 + 0 - 8*k**5 + 2)*(-6 + 1 - 3).\nAnswer: 112*k**5 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643027851 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 - 2625*o**3 - 167616*o**2 - 638868*o - 628320 = 0. What is o?\nAnswer: -56, -2, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113.106 - -113. Let c = 11.906 + x. Let m = -12.29 + c. What is m rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/11553 and -17\/46766544?\nAnswer: 46766544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32624277*p*u**4 - p*u + 143*p - 2*u + 18891 wrt u?\nAnswer: 391491324*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/115 and 167\/556860.\nAnswer: 12807780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, -1546, -3229, -4916, -6607, -8302, -10001?\nAnswer: -11704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 156 = 452. Solve 4*w = v - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -51, -136, -277, -486, -775?\n\"Answer: -2*w**3 - 10*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144122 - 62223. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72a7a (base 11) to base 8.\nAnswer: -317716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/8, 1, 2\/7, -21?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n - 10. Let v be 50\/(-6)*24\/(-40). Solve -v*z - p = 23, n*z = -z - 3*p - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 435, 1466, 3471, 6774?\nAnswer: 11699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.496296 decades to years.\nAnswer: 4.96296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 6*r + 4\/3*r**3 + 0*r**4 + 0*r**2 + 1\/5*r**5 + 0. Find the second derivative of w(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**10)\/l)\/l**(-21) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/54*-6*1. Solve -6 - 2 = u*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-846)\/405)\/((-31)\/((-465)\/36))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/sqrt(2) + sqrt(7) + (sqrt(7) + (5 + 2*sqrt(7))**2 - sqrt(7)).\nAnswer: 57 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 5*n**2 - n + 3. Let t be l(-5). Let y = 41 - t. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((8 - 1) + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 418 - 402. Calculate the smallest common multiple of 264 and y.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 61\/(-4) + (-2)\/(-8). Calculate the remainder when 21 is divided by ((-33)\/z)\/((-1)\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Let b = -76 + 112. Suppose 2*s - b = -s. Solve -1 = r - 3*h, h + s = -2*r + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 6*v**2 + 2*v**2)*(-4 + 3 - 7).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {a: 2, f: 3, j: 3, z: 1, e: 1, k: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1851, 4210, 6569?\nAnswer: 8928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 30\/11 in descending order.\nAnswer: 30\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 22. Let s = -9.7 + i. Put -4, s, 0.4 in increasing order.\nAnswer: -4, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k - 6. Let p(q) = -q + 1. Let v(s) = -l(s) - 6*p(s). Let a(i) = -3*i. Give a(v(o)).\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 1\/8, 16 in decreasing order.\nAnswer: 16, 0.6, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 461780 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 5*x**2 - 5*x + 7. Let p be m(-5). Suppose -3*b - 11 = -p. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6615152?\nAnswer: 1\/1653788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/6*(-1099)\/2826.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhjh. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 2274?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 347736687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5\/5 + 16*t**4 - 272*t**3\/5 + 256*t**2\/5 = 0.\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1957980719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*sqrt(171)*-6 + (-4 + 3 + sqrt(171) + sqrt(171))**2 + 5.\nAnswer: -66*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 701054.5ug in tonnes?\nAnswer: 0.0000007010545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3865220, -3865207, -3865194?\nAnswer: -3865181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 2. Let w(r) = r + 4. Let d(c) = 7*j(c) - 4*w(c). Suppose -4*t - z = t - 5, 3*t = -3*z - 9. What is d(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**2*p))\/p)\/p)\/p)**(11\/3)*(p\/(p*p\/(p*p**(2\/23))*p))\/((p*p*p**(2\/11)*p*p)\/p) assuming p is positive.\nAnswer: p**(-17023\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 44222 and 44220 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362249 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 13) to base 4.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*k - 7*k + 22658, 4*k - 28323 = -5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.126 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713556 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*p**3)*(8*p - 2*p - 2*p + 4 - p + 4*p - 2*p + (0 + 1 + 1)*(p + 4 - 4)) as n + t*p**4 + j*p**3 + d*p**2 + y*p and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 - 100001012101211?\nAnswer: -100001012111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 3*o + 11. Let a be f(7). What is the fourth biggest value in -1, 4, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 - 3*u + 5. Let b(t) = t**3 - t**2. Let g be b(0). Let l be 1 + g - 9\/(-1). Suppose 15 = 5*v - l. What is q(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 5, -721, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, -4, -7, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/(t\/t**(-3\/4)))**(-49)*t*t**(-2)*t\/(t**(2\/3)\/t)*(t*t**(-6)\/t*t)\/(t\/((t*t*(t**(2\/15)\/t*t)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(28393\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2 - 121251408*z + 1837737992747808 = 0.\nAnswer: 30312852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 8. Suppose 3*b + b = 3*b. Let y be j(b). Let d(x) = x**2 + 2*x - 5. Let a be d(-4). Sort a, y, 0 in ascending order.\nAnswer: y, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*t + 2 + 1 + 6*t + (12 - 12 + 7*t)*(2 + 4 - 5))*(3 + 4 - 5)*(2 + 14 + 1) to v + m*t and give m.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -0.13, -5 in descending order.\nAnswer: 57, -0.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/((-12)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-476)\/51)\/(-7))\/(7*12\/1134)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 16*d - 4. Let q(y) = -y - 2. Let l(j) = -k(j) + 2*q(j). Let m(u) = -u. What is -l(p) + 12*m(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {b: 1, o: 1, v: 3, y: 1, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 144390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 21. Suppose 0 = p - 6*p - 4*h + 56, 3*p + j*h - 44 = 0. What is the remainder when 23 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + b + 761, 479 = 3*s + 5*b. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -91, 18, -4, 0, 1, -6.\nAnswer: -91, -6, -4, 0, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*p - 13*j**3 - 36*p**2 + 4 with respect to p.\nAnswer: j**3 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -20522, 5\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3049, 12188, 27417, 48736, 76145, 109644?\n\"Answer: 3045*q**2 + 4*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 + 274*k**4\/7 + 6900*k**3\/7 + 2228*k**2 - 52978*k\/7 + 30210\/7 = 0.\nAnswer: -19, -5, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 1:48 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*2\/(-1). Suppose 3*r = 4*t + 5, 0 = 5*r - 7*r + 5*t + 15. Put 4, r, q in ascending order.\nAnswer: r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 38. What is the highest common divisor of y and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.63 + 401.63. Let v = 351.8 - h. Let b = v + 53.41. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n + 1112 = 54*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -28, -101, -248, -493?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 176514 (base 13) to base 3\nAnswer: 1002201211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 14 = 5*w. Suppose 0 = 5*u - 5*i, -4*u - i - 2*i - w = 0. Let p = -0.07 + 0.47. Which is the closest to u? (a) 0.5 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.9 + -25.275. What is u rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(2*i - 4 + 4) + 4*i + 2*i - 2*i - 4*i + 3*i - 2 + 2*i.\nAnswer: 9*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*s + 1609 = 0, -3*s - 2403 + 782 = -5*p. Let r = p + -98. Suppose f + 4*f = r. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1 (c) 0.4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.4, 2904, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -16. Suppose 46 = 2*z + s + 3*s, -z + 2*s = -v. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42472, -42477, -42486, -42499, -42516, -42537?\nAnswer: -42562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/5 - 40888*o\/5 + 1187434\/5 = 0. Calculate o.\nAnswer: -20473, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20671, -82720, -186147, -330958, -517159, -744756, -1013755, -1324162?\nAnswer: -1675983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-743.\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 28631*y**2\/3 + 238800*y.\nAnswer: -y*(y - 25)*(y + 28656)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 685, 661, 637?\n\"Answer: -24*n + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 2\/5*q**3 - 2\/75*q**6 + 1\/3*q**4 + 1\/25*q**5 + 0*q**2 + 13*q + 0. What is t in w(t) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105 or 54576\/515?\nAnswer: 54576\/515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 151*y**3\/6 + 32*y**2 - 40*y. Let m(l) = -101*l - 43. Let x(a) = 7*m(a) + 5*q(a). What is the derivative of x(h) wrt h?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -38?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63\/5 + -1129\/90. What is the common denominator of -37\/2 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219069 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 3*k - 12. Let s be o(4). Suppose 482844 = s*f - 45*f. Let h = 79948 - f. Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35 = 86. Let n = 24 + c. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27141*b**3*k**2 + b**3 - b*k - k - 1723 wrt k?\nAnswer: 54282*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -75*n + 101*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/100)\/(4\/(-135)) and -5\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-41)\/73800*15)\/((-1)\/(-2))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -344, -532, -748, -1004, -1312, -1684, -2132?\nAnswer: -2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1391 - 1413. Which is the closest to -2\/3? (a) w (b) -3 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 6*m - 1. Let k be s(6). Sort k, 5, -9 in descending order.\nAnswer: 5, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 26 + 21*s - 2*s**2 - 20*s)*(1 - 1 + 1).\nAnswer: s**2 + s - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1019\/24456 + 183\/(-56232)*73 - 2\/(-11).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3233, 3257, 3321, 3443, 3641, 3933, 4337?\nAnswer: 4871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and 76283?\nAnswer: -3509018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*i - 2 = 0, 0 = -5*l + 17*i - 15*i + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-854)\/188). Let s be 19 + -20 + (0 - 118\/(-122)). Let p = s + g. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9) - 1\/(-117)*17?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4374, -4375, -4376?\nAnswer: -4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 - 4*i - 7. Let t(q) = -q - 12. Suppose 0*v + 51 = -4*v + 5*u, -v - 21 = -4*u. Let x be t(v). What is the tens digit of b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*g + 3. Let q be (-110)\/6 + 44\/6 + g. What is the tens digit of (-4)\/(-2) - 2*(q - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137521346.08552+59\nAnswer: 137521405.08552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/7, 3, 0.4 in descending order.\nAnswer: 3, 0.4, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 31*h = -33*h + 9, 24 = 3*z + 5*h. Solve z*g - 2 = -11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 207. Calculate n(14).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2561140 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t + 5 = 0. Let u be (9\/(-30))\/((-8)\/(-10)). What is the biggest value in u, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 225.30055 to 0 dps.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3318*p - 862*p - 15*p**2 + 19*p**2 + 66 + 3327 + 3939 = 0.\nAnswer: -611, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*a - 140, 0*l - 7*l - 196 = -160*a + 150*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56670 divided by -28335.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28036 divided by 86?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p*p)**17*((p*p*(p\/p**(1\/2))\/p*p)\/p)**33)**22 assuming p is positive.\nAnswer: p**2585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9244 and 768.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 7*b - 6. Let t be r(-5). Let y = 0 + t. Put 3, y, 5 in descending order.\nAnswer: 5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6585 or -2.94?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Let q be (-12)\/(-56) + 1\/(-2). What is the nearest to z in 3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*l - 60. Let i = 47 - l. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162708.\nAnswer: 2, 3, 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 9*j**2 + 10*j + 10. Let t be o(-8). Calculate the common denominator of ((-118)\/(-48))\/(t\/(-8)) and 33\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 16*v + 50. Let x be o(14). Suppose -20 = -4*h + 4*u, -3*h - 7*u + x = -3*u. Solve 6*d = -0*d + h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2863580, 2863572, 2863560, 2863544?\nAnswer: 2863524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*z + 4 = 0, 3*z = 4*c - 2*z. Let l = 9 - c. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 22. Let g be h(12). Suppose -2*n - 88 = -4*i, -110 = g*i - 7*i + n. Suppose t = -3*t + 132. Calculate the greatest common factor of t and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*x + 160, -10 = -r - 2*x + 28. Suppose 0*v - d + 11 = 2*v, -r = -4*v - 4*d. Let c(i) = -i + 10. Let z be c(6). Solve -z - 16 = -v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -11 (c) 0.4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 9*j**5 + 156*j**4 + 747*j**3 + 564*j**2 - 756*j = 0.\nAnswer: -9, -7, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h**3*q - 11*h**2*q - 180*q wrt h.\nAnswer: -24*h**2*q - 22*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + 1)*(-b**3 - 4*b**3 - 2*b**3) + (-2*b**3 + b**3 + 2*b**3)*(-3 + 3 - b) + 2*b**4 + 2*b**4 - 6*b**4 - 12*b**4 + 6*b**4 + 4*b**4.\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28331029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 0.5, 3, 1, 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - b - 596, 2*z - 6*b + 2*b - 224 = 0. Let y be z\/25 + 1\/5. Find the second derivative of 0*v**5 - 2*v**y - 16*v + 39*v - 13*v wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -3*y. Let x be y\/4 - (1 + -1). Let f(t) = -4*t**3 + 2*t**2 + t. Let d be f(-1). Put d, x, -4 in increasing order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 2*l**2 + 2*l - 1. Suppose -t + 3*t = -14. Let u be 4\/(-10) + t\/(-5). Let n be v(u). Solve -n*k + 2 - 22 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 - l**2 - 9*l - 17. Let h be j(-7). Differentiate -h*n + 32*n**4 + 1712*n - 77 wrt n.\nAnswer: 128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2282487, -2282485, -2282483?\n\"Answer: 2*n - 2282489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/13)*g*(g*g*g**7)\/g)**24\/(g**3*g**(-2\/21)*g*(g**(-1\/2))**(-8\/5)) assuming g is positive.\nAnswer: g**(323698\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -826.73 and -17314825?\nAnswer: 17313998.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 39.01. Let s = u - 0.17. Let v = -0.82 + s. Which is the fourth smallest value? (a) 0.1 (b) 2 (c) -0.3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 5*x + x)*((1 - 1 - 3*x)*(-x**2 + x**2 + 2*x**2) - 3*x**3 + x**3 + 4*x**3 + x**3 - 2*x**3 + 2*x**3).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:44 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, 3, -3, 9, 4, 0, 2 in decreasing order.\nAnswer: 223, 9, 4, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16296 - -16307. Solve 15*x - 5*v - 11 = 11*x, 0 = 5*x + 2*v + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12862 is divided by 97.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((23 - 23)*2\/10)\/(-2). Let h(u) be the third derivative of 10*u**2 - 1\/280*u**7 + 0*u + 0*u**5 + 0*u**3 + v*u**4 + 0 - 1\/160*u**6. Factor h(t).\nAnswer: -3*t**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*r**2 + 1821*d*r - d + 1114*r**2 - 975 wrt d.\nAnswer: r**2 + 1821*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/9 (b) -8\/31 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13*a - 10*a - 55 = 0, -d - 3*a + 25 = 0. Let i be d\/(-2) - 96\/(-12). Solve i*j + 4*h = 19, 4*j - 2*h - 2*h = 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -3 + 1 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281113 or 16.3?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8386 and 3594.\nAnswer: 25158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 9.9. Let n = -1.844 - q. Let r = n + -0.0593. What is r rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -170. Suppose 5*q - 6*y = -y - 25, -8 = -2*y. Let l be 14 + -2 + 1 + q. Solve 0 = w*b - 2*b - 3*s + 5, 3*b + 2*s = l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 1. Let k be j(3). Let f(t) = -t**2 - 3*t + 41. Let c(y) = 2*y**2 + 5*y - 81. Let l(m) = k*f(m) - 4*c(m). Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229080?\nAnswer: 2, 5, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -39\/10726295 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/14 (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 10. Let p be z(-6). Let a = 10 - p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1126*a**2 + 562*a**2 - 2*a + 555*a**2 + 2*a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12686*w - 202305. Calculate l(-16).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92108033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (44 - 70) + (7 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 182*t**3 - t**2 + t + 3. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 = -4*w. Let f be -4 + -14*((-3)\/2 + 0). Suppose -v - 2*v = w*p - 17, v = 5*p - f. Solve 0 = 2*k - y - 2, 5*k + 3 = p*y + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000524414 to seven dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 at most as big as 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5889, -10339, -14813, -19311, -23833, -28379?\nAnswer: -32949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/((-90)\/30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, -3, -11, -19?\n\"Answer: -8*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60\/119 - -6\/17. Let i = -2174 - -15221\/7. Find a, given that 9\/7*a**2 - i*a**3 - 3\/7*a**4 + 3\/7*a - c = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 84. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-1) - 34) + 0. Let u = 19 + 60. Let z = u + q. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -655 - -655.000993. Let l = y + -0.001. Round l to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 550700*h\/9 - 39069454\/3.\nAnswer: -2*(h + 213)*(h + 275137)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/4 - j**3 + j**2 - 3. Let a be t(3). Solve -a = g - 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*s + 10 = 55, 2*s = 4*z - 58. Suppose 0*p - 4*p - 3*w = -z, 0 = 2*p - 2*w - 14. Let q(u) = u. Let a be q(p). Solve -2*l - a = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/7 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -24105 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 11*f + 14*f, -2 = -v - f. Let t(c) = 5*c**3 - c. What is t(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1402 - -1471. Calculate the remainder when 1514 is divided by z.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(6\/(-54)). Suppose -m*p = -6*p. Solve 0 = 4*i - 2*c + 18, p = -0*i + 5*i - 2*c + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 197690 = 48*u - 43*u. Calculate the greatest common factor of u and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489 = 80*n - 169 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 12 = 0. Suppose 3 + 9 = n*p. Suppose -4*l - 4*k + 24 = 0, -2*l - p*k = -4*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-2610))\/((10\/(-2))\/(-25))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 440465 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9 + 2*b + 4 + 5 - 3. Determine y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 11*d + 18057 = -4*f, -3*d - 54171 = -2*f. Let w = -10690 - d. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137642756 to the power of 1\/2, to the nearest integer?\nAnswer: 11732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b + 55 + 3*b - 55 - 46*b**2 + b**4 - 21*b**3.\nAnswer: b**2*(b - 23)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 53241721*l. Let p(a) = -3*a**2. Calculate h(p(i)).\nAnswer: -159725163*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-45) - 230\/(-1050). Let t(k) = k + 10. Suppose 0 = p - 2*s - 3*s + 5, -6 = p - 4*s. Let r be t(p). Put f, r, 0.5, -0.2 in decreasing order.\nAnswer: 0.5, f, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -496.8 - -1\nAnswer: -495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.220579? (a) -2\/9 (b) 5 (c) 3 (d) -0.1 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 2. Let d(o) = o**2 - 5*o + 1. Let q be d(4). Let s be m(q). Let t = s + 35. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 13. Let p be t(9). Let l(q) = 6*q**2 - q**3 + 12 - q - 8 - 8. What is the remainder when l(p) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 36.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*1)\/1 - -1. Let o be (-72)\/(-14) - (-3 + (-22)\/(-7)). Solve b*i - 10 - o = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ese when three letters picked without replacement from {s: 6, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 891357589.\nAnswer: 6239503123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.3 (c) 674599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/48 + 85*v**3\/6 - 7225*v**2\/2 - 9*v + 22. Factor l(g).\nAnswer: -(g - 170)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 11 = -j + 2*m, 3*j - 55 = -4*m. Is j < 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 43512 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.452 and 0.06?\nAnswer: 0.50712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116562 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 278 + 246 = 0. Suppose r - 5*f = -127 + 27, -g*r = f + 316. Is r <= -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -9. Let b be q - (7 - (-2 - -5)). Let h = b - -5. Round h to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/30 - (-2)\/((-20)\/22). Let g(r) be the third derivative of -r**4\/3 + r**3\/6 + r**2. List the prime factors of g(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/66*(4\/3)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4382, -6\/13, -1, -4 in descending order.\nAnswer: 0.4382, -6\/13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 20. Let b(w) = -w + 45. What is 3*b(z) - 7*y(z)?\nAnswer: -3*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**4 - 9*z**3 + z - 78*z**2 - 1 - 75*z**2 - 9*z**3 + 154*z**2 to i*z**4 + w*z**2 + x*z + r + m*z**3 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(833) + 2) + -3 + -1).\nAnswer: 48 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-one halves of a millennium?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 985308385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3 - 9*i - 5 + 12*i. Let n be p(3). Let g(k) = k**2 - 7*k + 8. Calculate the remainder when 31 is divided by g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -4. What are the prime factors of -1 + 7 - 4\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Let g be 6\/(-2) + (l - 2). Is (-992)\/(-72) - g\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 3. Let j = -4.037 + 4.037. Which is the nearest to 3? (a) o (b) 0.7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 3*c - 2. Give q(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t - 1 + 1 + t + (3*t - t + t)*(4 - 1 - 2) - 25*t + 13*t + 17*t + (-1 - 4 + 3)*(-3 + t + 3))*(5*t**2 - 2*t**2 - t**2).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 81 + 41. What are the prime factors of m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != 2\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 1173, 1829?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0106621 and 3665.\nAnswer: 3664.9893379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 20\/9*c + 14 - 1\/6*c**4 + 7\/9*c**2 - 28\/27*c**3. What is z in u(z) = 0?\nAnswer: -5, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -2*w = x*t, -4*t = 3*w + 1 + 1. Suppose -3*y + 50 = w*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0*a**4 + 6*a + 0 + 0*a**2 - 11\/3*a**3 - 11\/10*a**5. Find the second derivative of d(c) wrt c.\nAnswer: -132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9066523136 to the power of 1\/2, to the nearest integer?\nAnswer: 95218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqanaqapa. Give prob of sequence qnqp.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = -4*j. List the prime factors of (-3)\/(j\/(-310))*(-49)\/(-5).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 36*t**2 + 44*t + 12. List the prime factors of v(18).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29046454327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 547, 1, 0, -3, -4, 2 in descending order.\nAnswer: 547, 10, 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1075)\/225 - ((-4)\/(-18) - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5592280 and 40?\nAnswer: 5592280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8460 + -4656. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 38. Let k(i) be the third derivative of -i**7\/2520 - i**6\/720 + i**5\/60 + i**4\/24 - i**2. Let b(z) be the second derivative of k(z). Give b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-10)\/(0 + 2)). Let x be 9\/6*4\/(-2). Let o = 2 + x. Which is greater: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 225*x + 15. Let r(v) = -v**3 - v**2 - v + 48. Let z be r(0). Is d(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 47. Calculate d(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95) + -1*sqrt(95)*-1))*5)\/(sqrt(5) + sqrt(20)*2 + sqrt(20) + sqrt(15)\/sqrt(3)*3))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 889 and 3500?\nAnswer: 444500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -6\/269 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 196, 391, 582, 769, 952?\n\"Answer: -2*y**2 + 201*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, y: 7, o: 3}. What is prob of picking 1 o and 2 k?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -15.\nAnswer: -15, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Let x = -8.7 + 9. Sort x, k, 0.\nAnswer: 0, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2447240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u = -41*u - 81930. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by 3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 28*p**2 + 29*p - 8. Suppose 0 = 5*s + 3*u + 102, 3*u + 37 = s + 25. Give j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 929 = 2*x + 940, -55*m - 10 = -2*x - 53*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**(10\/13)\/(v*v**(1\/6)\/v*v\/v**7*v) assuming v is positive.\nAnswer: v**(137\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8022154 is divided by 157294.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:34 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1110\/(-3700))\/(9\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 4*n + 2. Let o be l(-4). Let d = 0 - o. Let q(s) = 9*s**2 + 3*s + 3. Does 11 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 20*z = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-6) + (-1808)\/(-678) + 1335\/165?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3827 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311\/2 - 12\/(-24)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/45*-6*(-3)\/(-2). Let a(o) = 50*o - 91. What are the prime factors of a(j)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 + s - 5. Let o be f(0). Which is bigger: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72037?\nAnswer: 7, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659 a factor of 1790123991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 503.37061 to the nearest 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211803*g**2 - 220829*g wrt g?\nAnswer: -423606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0.81. Let m = 0.09 - z. Round m to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704498332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)\/(-3) + 86\/129. Let o = 72 - 111.3. Let m = -39 - o. Which is the closest to m? (a) 2\/29 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**4 - 56319*o**3 + 97*o**2 + 503*o + 2.\nAnswer: 192*o - 337914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Suppose -1 - 7 = -f*n + 4*s, -2*s = -3*n + 8. Suppose -36 = -n*k + k. Calculate the highest common divisor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (6 - 1)) + -1. Let n = k - -9. Let j(u) = -u**3 + 6*u**2 - 6*u + 1. What is the units digit of j(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + u**5 + 0*u**5 + (-20*u - 7*u + 8*u)*(u**4 + 0*u**2 + 0*u**2) - 5*u**5 + 3*u**5 + u**5.\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40728533?\nAnswer: 19, 1289, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0045 and -24005.\nAnswer: -24004.9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 2549*o**6\/6 + 812*o**3 + 2615. What is the third derivative of i(a) wrt a?\nAnswer: 152940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37467471.\nAnswer: 3, 12489157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27313 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*s**2\/10 - 124939*s + 340728\/5.\nAnswer: (9*s - 113576)*(11*s - 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 + (-119 - -108)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-1 - 0)) + 0. Suppose -d - y*d = -50. Solve 2*p + d = 4*p + 4*q, -26 = 2*p - 5*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 32\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12833 - 6435 - 6398 + 6*l. Let j(z) = z + 8. Let i be j(-4). Let q(d) = 0*d - i*d + 3*d. Determine x(q(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + 1)*-2*-2 - ((sqrt(275) - sqrt(275)*1) + -2 + -2)) + -4)**2.\nAnswer: 160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8 = -2*t. Suppose t*h + 3*i + 2 = 4, -i - 2 = 0. Suppose -2*x - 5*z = 9, 3*x + 0 = h*z - 4. Is x at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 9:19 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 25585674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7494363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1037, -5410, -12699, -22904, -36025, -52062, -71015?\n\"Answer: -1458*n**2 + n + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*p + 2 + 22, 0 = -z - 5*p + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(405) + 3) + 5*sqrt(45)\/(sqrt(441) + sqrt(441)*2 + sqrt(441) + sqrt(9)).\nAnswer: -1300*sqrt(5)\/29 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/4 - 571113*s**2 + 108723352923*s = 0.\nAnswer: 0, 380742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1f (base 16) to base 12\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 3*g + 3*s - 153, 0 = -4*g - 2*s + 16. Which is the third biggest value? (a) 4 (b) -120 (c) g (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 5, s: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:02 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2138291\nAnswer: -2138293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60344 (base 9) to base 16.\nAnswer: 9ae1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 62*v + 390*v**2 + 21*v + 21*v.\nAnswer: 390*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472948828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 2. Let s be (i\/(-2))\/(3\/(-21)). Let k = -5 + s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:19 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (108\/(-16) + 9)*132*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -466, -1219, -2256, -3571, -5158, -7011, -9124, -11491?\n\"Answer: m**3 - 148*m**2 - 316*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 124 = 18*x - 11*x for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119\/3 - -40. Suppose 3*y - 7*y = -36. Suppose 4*i + 5*n = y, 2*i = 2*n - 5*n + 5. What is the nearest to 0.1 in -2\/5, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 369363\/1798?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**2 - 129*q - 8. Let i be j(13). Solve i*c = -3*l + 6*l + 8, -5*c + 4*l = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576658270?\nAnswer: 2, 5, 83, 331, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 125, 204, 305, 434?\n\"Answer: k**3 + 2*k**2 + 50*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 47\/2. What is w in -1\/2*w**4 + 2*w**3 - o + 2*w - 3*w**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3294893 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -48233990 != -48233989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - (-24)\/(-4). Let o(h) = -2*h - 9. Let t be o(m). Calculate the greatest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 3*x**2 + 0*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167067 and 2565.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfo when three letters picked without replacement from {f: 1, k: 2, o: 9, l: 1, w: 7}.\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.129 + -0.041. Is 0.2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = 5. Let g = r - -3. Let t = 0 + 2. Solve -3*m - 1 = -g*f + 3, -t*f = 2*m - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/sqrt(4)) + (sqrt(228)\/(1*sqrt(12) - sqrt(12) - sqrt(12)) - sqrt(19)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 + 35505?\nAnswer: 40025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -998*l**4 - 2*l**3 - 27382*l**2 wrt l?\nAnswer: -23952*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359253, 359275, 359297?\nAnswer: 359319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -120?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+863007\nAnswer: 863006.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -26. Put w, -1, -2 in descending order.\nAnswer: -1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453051780.\nAnswer: 2, 3, 5, 7550863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**2 + 49*t - 49*t)*(-3*t + 3*t - 2*t)*(4 - 6 + 9) + (-2*t**2 + 2*t**2 + t**2)*(2*t + 2*t - 5*t).\nAnswer: -183*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2256\/846)\/(2 + (-20)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 - 2048*b\/5 - 524288\/5 = 0. Calculate b.\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -23*i - 5. Let p be (4 - 36\/8)*4. Let n be s(p). Suppose -2*o = -2*l + 3*o + n, 128 = 5*l - 4*o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57162 or -4\/3?\nAnswer: 57162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(4 - 4 - 2)*(-2*u**3 + 3*u - 3*u)*(8*u + 4 + 2 - 4).\nAnswer: -64*u**4 - 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.7 + -28. Let r = 6 - 11. What is the smallest value in y, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*r - 985*r + 1989*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * 14059.\nAnswer: 29523.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.073203 less than -73987?\nAnswer: -73992.073203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 5*t + 20. Let c(d) = -d**3 - 6*d**2 - d - 3. Let x be c(-6). Let s(i) = 12*i + 1. Calculate the remainder when s(x) is divided by r(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3874 + -2.3819559. Round u to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:36 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 1, v: 2, q: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3896.9 (b) 63.5 (c) -2\/13 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 9 - 14) + 24\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 30*r**2 + 23*r**2 + r - 277*r**2.\nAnswer: -284*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/20 + 7*v**4\/6 + 17*v**3\/6 - 17*v**2\/2 + 24*v. What is the units digit of h(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112868\/1566 - ((-99)\/1944 - 3\/(-24))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*36 - (-3 - -4). Let j = q + -19. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 736121*n**3 - 141*n**2 + 139*n + 2. Is y(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.1 (b) -6.3 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 26144 - 4280. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*16 + 2 + 1. Let c(y) = -5*y - 20. Let p be c(t). Solve 14 = 5*d + 4*z, -d + p*z = -4*d + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 9977?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 - 485\/3. Let g be ((-6)\/(-18))\/(-1 - (-5)\/3). Which is the smallest value? (a) g (b) -2\/5 (c) -0.1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 124 (b) 0 (c) 453 (d) -5 (e) 1\/3 (f) 1 (g) -44\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 14842 + 2368. List the prime factors of f.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 7*k + 28. Suppose -2*g - k*g + 2940 = 0. Suppose 4*r - g = -2. List the prime factors of r.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1562*u - 1248 = -1568*u. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 18, 40, 70, 108, 154?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 407*z - 1467. Calculate y(98).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 15*i + 12. Calculate w(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 9. Let q be g(6). Let a be 5\/20 - q\/4. Suppose -7 = a*j - 27. Solve -2*b = -b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 180.569, -1, 4, 2\/11, 63.\nAnswer: -1, 2\/11, 3, 4, 63, 180.569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d**2 - d + 9. Let f be v(0). Let h(i) = f*i**2 + i + 0*i**2 - 2*i**2. List the prime factors of h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*1*(-7)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 14 - 13. Sort -2\/19, i, 0.03 in descending order.\nAnswer: 0.03, -2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from wvwwvwvvvkwvkkk?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401 + -1373 + (-31 - (3 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130102 + -11132?\nAnswer: 112310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9073592 is divided by 444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3903?\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25485986528.928102 - -25485931677. Let r = b + 54852. Let m = 0.072 - r. What is m rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i + 66. Let q = -13 + 7. Let g = q + i. Calculate the lowest common multiple of g and 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -361276*x**5 + 26590*x**2 + 3.\nAnswer: -21676560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from fqqqbfbqqfrqbrbrbrq?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352.8878 kilograms to tonnes.\nAnswer: 0.3528878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2288400*i**3 - 1026394*i.\nAnswer: 13730400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 38 = 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*h**2*u + 140586*h**2 + 66*h*u**3 + 2*u**2 wrt u?\nAnswer: -9*h**2 + 198*h*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 7242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -242524 (base 9) to base 4\nAnswer: -203230303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n + 6. Let v be (-15)\/(-3) + -1 - -1. Let r be b(v). Let a be (-1)\/r - (-76 + 9). What is the highest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -113.63.\nAnswer: -113.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3174)\/7935)\/((128\/390)\/8)\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -43*z**2 - 271*z**2 - 33*z**2. Let b(g) = 2*g. Calculate u(b(j)).\nAnswer: -1388*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 14*t - 5. Let y(k) = 5*k - 2. Suppose -30 = 4*b + 2*o, 5*o - 2 = 5*b + 13. Let w(n) = b*h(n) + 17*y(n). Differentiate w(p) wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.137842 to 3 dps.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from llhlzlhlllzvl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from vkvvhvkhhvhkh.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 685 (base 13) to base 16\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from rrgipraypipr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, -6, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**4 - 123*u**5 + 12 + 324*u + 19*u**2 - 2*u**3 - 323*u - 42 + 75 wrt u.\nAnswer: -7380*u**2 + 72*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 0*y**2 + 5 - 2*y**2 - 2*y - 1. Let c be t(3). Let s(q) = -q**3 + 7*q**2 - q + 10. List the prime factors of s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**4 - u**3 + u**2 - 1. Let x(r) = -28*r**4 - 28*r**2 + 96*r - 40. Let c(m) = 24*a(m) + x(m). Factor c(s).\nAnswer: -4*(s - 1)**2*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0*h - 3*h + 2*h)*(0*h + h + h) - 384*h**2 - 771*h**2 + 381*h**2.\nAnswer: -778*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82 and 3.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2.1. Let b = l - -1.1. Are -3\/7 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000570833 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.76? (a) 0.3 (b) 5 (c) -5 (d) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(4\/4 - 3) - -7. Let z be 2\/(2 - 2 - -2). Let c = 3 + z. Solve -m - c = v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 7, u: 6}. What is prob of picking 1 u and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 208 - 2*f + 126 + 4*f - 172 + 128.\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -52?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4258 = -91*p - 3894. Suppose -272\/7*h**3 + 110\/7*h - 114\/7*h**2 - 16\/7 - 32\/7*h**p = 0. What is h?\nAnswer: -8, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2975 - 40*v + 1493 + 4612*v**3 + 1463 wrt v.\nAnswer: 27672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1431 = -921. Calculate the remainder when x is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 9*b - b + 2*b as s + p*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/8925*-28)\/((6\/(-9))\/(-1))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 966 and 658651?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 15. What is h(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/88413505?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*l*l**(-1\/6)*l*(l*l**(-4\/13))\/l**(-5\/3) assuming l is positive.\nAnswer: l**(135\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-three fifths of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 5. Let z be (-2)\/4*0\/1. Suppose z = 2*y - 6*y - 28. Let n = y + 4. Let l(x) = x + 6. Give n*l(g) - 4*p(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times 0.1?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6432*v + 418085. Determine i(65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 5*w + 57. What is the common denominator of w and (73\/3)\/((-10)\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4 + 46*h + 46*h + 9 - 198*h + 67*h. Let j(y) = -4*y. What is j(k(f))?\nAnswer: 156*f - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*(a*a\/a**(-2\/55))\/a)))\/(a**(-2\/71)\/a) assuming a is positive.\nAnswer: a**(11967\/3905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {o: 1, e: 2, f: 1, p: 2, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -a56d?\nAnswer: -a579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -44*v + 1757. Determine q(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/120 and 33\/839680.\nAnswer: 2519040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (275\/(-1540)*18\/(-5))\/((-9)\/(-12)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 17 + -12 + (11 - 3) + 19\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -107, -151, -191, -227, -259, -287?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = 0, 0 = 6*p - 11*p + 3*r - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10996*i*n**4 - 5*i*n**2 - 8336*i*n + 2*i - 66*n**5 + 4*n**3 + n**2 + 1 wrt n.\nAnswer: 263904*i*n - 3960*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.307428 litres?\nAnswer: 1307.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 123, 2\/5, 7 in descending order.\nAnswer: 123, 7, 2\/5, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485970130 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-8 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8460 and 46\/47665?\nAnswer: 80649180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4575*y - 2290*y - 2289*y + 94 = 3*c, 4*y - 4*c = -116 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 135. Suppose -3*p - 10 + 52 = 0. Calculate the remainder when l is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*y + 7*y - 400 = 600 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 58, -5, 33 in descending order.\nAnswer: 58, 33, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.157 and -0.5?\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 5*m - 1. Let k be g(-6). Let s(h) be the second derivative of 0 + 1\/20*h**5 + 1\/2*h**4 + 5*h**2 - 5\/6*h**3 - 5*h. What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 19*d + 46. Let y(i) = -i**2 + i + 1. Let v(q) = g(q) - 4*y(q). Let l be v(-11). Let m(f) = 2*f**2 + 4*f + 5. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, 2\/13, -2, -59\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -67. Suppose p = -q + 96, -381 = -4*q - 2*p - h*p. Let w = q + -90. Calculate the highest common divisor of 99 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b - 3. Let m be x(-3). Is 24 a factor of 0 - (m - 9\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -9 (b) -5 (c) 2\/43 (d) -5\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - -58*(4 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42051226 times -0.2\nAnswer: -8410245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 3. Let s be ((-4)\/30)\/(g\/(-10)). Let u = -6.53 - -2.53. What is the closest to 0 in u, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.3 + 30.3. Which is the third biggest value? (a) m (b) 8 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6266153 + 52?\nAnswer: 6266235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 183790868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*j - 8, -7*j + 2*q = -10*j + 10. Let a = 6 + 6. Solve 0 = -14*f + a*f - j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -967 - -1051. What is the greatest common factor of 784 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59725 + 416410\/7. Let l = q + 238. Which is the second biggest value? (a) -1 (b) l (c) 0.2 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 245*z**2 + 1830*z + 4680.\nAnswer: 5*(z - 39)*(z - 12)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3213.585 and 30.0444.\nAnswer: 3243.6294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -145, -357, -665, -1075?\n\"Answer: -x**3 - 39*x**2 + 2*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*10\/(-15). Solve 0 = c + 5*d + 4, 4*c - 2*d - 5 = w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 - -242. Let x(i) = 22*i**2 - 34*i - 1. Is x(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l - 18. Let w be l\/(-2)*18\/27. Solve 0 = b - 2*c, 2*c - 4 = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 122*p - 1. Let s be x(1). Suppose -4*k = -7*b - 67, -4*k + 3*k + 5*b = -7. What is the greatest common divisor of k and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22324*r**2 - 16439 wrt r.\nAnswer: 44648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 72 + 60 = 0. Let w(t) = -19*t**3 + 35*t**3 - 17*t**3 + 28 + 15*t - y*t**2. Let p be w(-13). Solve -p*i + u = -10, 3*i - 2*i + u = -1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 - -209. What is the units digit of (-23)\/115 + 8\/k - -701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 1088 = 41*p - 1201 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*m**2 + 431*m**2 - 1291*m**2 + 428*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110000110100111010010?\nAnswer: 110000110100111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118856 (base 11) to base 3.\nAnswer: -100112000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.91 + -0.41. Let j = -8 - -8.06. Which is the closest to j? (a) 3 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -16, -4, -513 in descending order.\nAnswer: -2, -3, -4, -16, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153711391.\nAnswer: 557, 275963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125151*h*t**2 + h*t + 12643*h wrt t.\nAnswer: 250302*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1497 and 52743?\nAnswer: 26318757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*p - 28*p - 46 + 734. Let y(d) = 0*d - d**3 + 7*d**2 - 2*d**2 + 6*d + 2. Let t be y(6). Solve 5*g - 20 = t*j, -g = -3*g + p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 27354.\nAnswer: -1\/4559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/5)\/18*(-4)\/10*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 31383222?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1002 + 2099 + 3248 + 1535 - 704)*(1 - n**2 - 1) as m*n**2 + v*n + o and give m.\nAnswer: -5176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 3 = -5*u + 2*m, 2*u - 2*m = 12. Suppose -2*i = -5*z + z + 8, -z + 13 = u*i. Sort 3, -5, i, 16 in descending order.\nAnswer: 16, 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, 17, 90, 237, 482, 849, 1362, 2045?\n\"Answer: 4*m**3 + m**2 - 8*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grzzs. What is prob of picking 1 s and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*h + 3. What is the highest common factor of h and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50252515337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146242 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -143*f**4 + 194*f**2 + 4*f - 4. Let u(o) = -4*o**4 - o + 1. Let p(l) = 20*u(l) + 5*x(l). What is the third derivative of p(k) wrt k?\nAnswer: -19080*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 59, 97, 137, 179, 223, 269?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5859 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttbjbbttttbbtbbbbt?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112545.\nAnswer: 3, 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*f - 178, -6*f + 40 = b - 3*f. What is the greatest common factor of 322 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3892.04893 rounded to the nearest ten?\nAnswer: -3890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490360 by 184.\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -32*h + 162. Let a be j(5). Solve -a*y + 7*w = 2*w - 11, 0 = 2*y + w + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4 in ascending order.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/7, -3, -0.5, 8 in decreasing order.\nAnswer: 8, 7, 3\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27a (base 11) in base 5?\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 - 3*j - 1. Let m be n(-5). Suppose 4*v = -m - 58. Round v to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f - 1000 = -75*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -10*v + 4. Let h be 2*v\/24*15. Which is the second smallest value? (a) -0.029 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*n + 10, 4 = 2*o - 7*n + 2*n. Solve o*q + 7 - 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*k - 731563*c**3 + 48*c*k - 13535*c - 2*k wrt c?\nAnswer: 6*c*k - 4389378*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74008.73 kilometers to nanometers.\nAnswer: 74008730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 = l. Suppose 2*k = -k + l. Suppose k = -4*o + 22. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274930*a**3*b**3 - 504*a**2*b + 1650*a*b**3 wrt a.\nAnswer: -1649580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**4*s**3 + 18731209*d**3 + 168*d**2 - 95272*s**3 wrt d?\nAnswer: -192*d*s**3 + 112387254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*x + 42. Let b be (-20)\/x*15\/10*-10639. Let r = -180195 - b. Round r to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.78 + 0.38. Let h = 32.6 + -32. Let z = h - s. What is the third biggest value in -0.1, 1\/7, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2849*l**3 - 5600*l**3 - 57*l + 2775*l**3 as y*l + h + a*l**2 + o*l**3 and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 3 - 5*q + 2*q**2 + 4*q + 27*q**2 + 5*q**3 + q**3 in the form d*q**2 + h + t*q**3 + w*q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2039446756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/25, -3, 5, 0.2, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -366*y + 4. Let h(w) = 8*w + 78. Let i be h(-10). Does 44 divide q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + i = -0*g + 1, -5*g - 5*i - 5 = 0. Let m = 63 + g. Let q = -29 + m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40298465*x**6 + 214*x**2 - 4473.\nAnswer: -4835815800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 407.\nAnswer: 36.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/((-20)\/32). Let m = i + 17\/20. Let l = 142.4 - 142. Which is the third biggest value? (a) l (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3505347 is divided by 1198.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let i(v) = 74*v**2 - 2*v. What is i(c(h))?\nAnswer: 296*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 2. Let q be 24\/(-9)*15\/2. Let r = 28 + q. Let b be o(r). Solve b + 5 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:06 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - 7) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41770 + 41776. Calculate the highest common factor of 2802 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1804*o + 66321 = -369*o - 28389 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-50)\/(-8))*-5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + (-37)\/(-4). Let w = -36 + 32. Let s = w + f. Calculate the highest common divisor of 20 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cdacccllcjcdjaaca?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1928 = -2*b, 5*b = -5*l + 3202 + 1578. Let s = 2448 - l. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 + 9*x + 12. What is the least common multiple of a(-2) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 + -287. Suppose -3*c = k*b - 416991, 2*c + 5*b - 37589 = 240396. What is c rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7\/3)*r)**(2\/195)*(r*r\/r**(-20))\/r**(-15))**(-46) assuming r is positive.\nAnswer: r**(-995302\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u**2 + 25*u - 4. Let l(k) = 27*k**2 + 56*k - 9. Determine -9*i(z) + 4*l(z).\nAnswer: -27*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 395?\nAnswer: 31\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 18 = -87. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 = -16. Suppose -6 = -p*a + 2*a + g, -5*g - 20 = -3*a. Suppose -42 = -4*x - 2*l + 80, a*x - 157 = 2*l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4006641 (base 7) to base 10.\nAnswer: -472977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-45))\/(((-4)\/(-230))\/1). Let x = 149 + l. List the prime factors of x.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 83*n - 965. Determine f(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - -242. Calculate the common denominator of 101\/120 and 2\/10*(l\/8 + -2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -77, -5, 2 in ascending order.\nAnswer: -77, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 2114*j**2 + 899399*j + 1790350.\nAnswer: (j + 2)*(j + 587)*(j + 1525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.24 and 478.4.\nAnswer: 478.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-62)\/((-30380)\/105)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2955513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 27*u - 59. Determine z(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 + -225. Suppose -4*i - 164 = -4*t, -5 = i - 4. Let v = y + t. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 6*s + 6. Let g(z) = 2*z**2 - 5*z - 5. Let j(y) = -6*g(y) - 5*o(y). Let c(f) = f**2. Calculate c(j(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (2*sqrt(85) - sqrt(85)))*-5 + sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85))\/sqrt(5).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2 - 3. Let r be (-6 - -6)*(-1)\/a. Solve -n + 4*n - 6 = r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + f + 7 - 26 + 8.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/5))\/(g**(4\/7)*g*g))\/(g**6*g**(-5\/3)) assuming g is positive.\nAnswer: g**(-599\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1486917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 5*q + 117. Let m(d) = -4*d**2 - 17*d + 352. Determine -14*j(c) + 4*m(c).\nAnswer: -2*c**2 + 2*c - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 5*p**4\/12 + p**3\/6 + 211*p**2\/2 - 3*p + 7. What is the units digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 233?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3 + 32312*i**2 - 193926*i + 290916 = 0 for i.\nAnswer: -16162, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14673428 and 5964?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -45*f**2 + 2364*f + 4. Let j(r) = -12*r**2 - 2*r + 1. Calculate -4*j(s) + p(s).\nAnswer: 3*s**2 + 2372*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:28 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (249274\/64)\/((-3)\/6). Let j = -7796 - x. Calculate the common denominator of ((-85)\/(-3))\/(-2 + 8) and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 768*v - 2 - 888*v)*(15 + 0 - 4)*(-6 - 6 + 7).\nAnswer: 6600*v + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 508 = 2*x - 3*b, -2*x + 2*b + 452 = 0. Suppose 2*p - 111 = -5*u, -x = -3*p - 2*u - 47. Calculate the common denominator of 0\/4 - 39\/p and -23\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14320 = -k, -4*d + k + 9228 = -2219. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 53 = -b + 305, 0 = b - 2. Suppose -2*y - j = -2*d - 39, 5*y = -2*d + 79. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -519, -918, -1409, -1992, -2667, -3434?\nAnswer: -4293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3546583?\nAnswer: 3546583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 12573916?\nAnswer: 88017412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411473 (base 8) to base 12.\nAnswer: -6684b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**3 + 2*d**2 - 15*d. Let s(y) be the first derivative of 0*y - 5\/4*y**4 - 4 - 1\/3*y**3 + 7\/2*y**2. Give -6*n(r) - 13*s(r).\nAnswer: -r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 5*g = -21*d - 15, -4*d + 2*g = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -548, -694, -840?\n\"Answer: -146*j - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 11*l = 4*p + 6884, 5*l + p = 11504. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 6 - ((34 - -11) + -95)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, p: 8}. Give prob of sequence xx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*c - 10 = 0, -l + 0*c = 2*c + 10. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31481724?\nAnswer: 2, 3, 2623477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -174 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -662, 1\/4, -2 in descending order.\nAnswer: 1\/4, -2, -662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, 44, 270, 518?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 319989428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(66\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:49 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568843.\nAnswer: 73, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4 + 146223*l**3 + 1082260*l**2 + 1872108*l + 585040 = 0. Calculate l.\nAnswer: -5, -2, -2\/5, 29252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-9))\/((-17)\/816) is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30851899867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22984860?\nAnswer: 2, 3, 5, 383081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let b(g) be the third derivative of 45*g**5\/4 + g**2 + 2*g - 18. Determine b(t(w)).\nAnswer: 2700*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(700) + sqrt(700) + -1*sqrt(700) + 3 + sqrt(700)*2*-4 + -4)**2.\nAnswer: 280*sqrt(7) + 34304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -555039, -555032, -555025, -555018, -555011, -555004?\n\"Answer: 7*u - 555046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56179, 112375, 168571, 224767?\nAnswer: 280963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**4 - 2*m**2 - m. Let a(p) = -59*p**4 + 4*p**2 + 2*p + 74. Let y(g) = -a(g) - 2*i(g). Differentiate y(u) with respect to u.\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*w + 4. Find the third derivative of 15*h**2 - 8*h**w + 2*h**2 + 16*h**6 wrt h.\nAnswer: 1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 4. Let m be 16\/56 - (-30)\/(-7). Let y(j) = 10*j + 16. Let z(f) = 3*f + 5. Let c(s) = -2*y(s) + 7*z(s). Determine m*c(i) - 3*u(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7225111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0372 + -0.4628. Sort 7, 0.5, r in ascending order.\nAnswer: r, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 81. Solve -d = u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46866 and -1.5.\nAnswer: 70299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(((-6)\/141)\/(-1)))\/(225\/7500*25)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3153 (c) 626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.3 (b) 0.4 (c) 2\/9 (d) 3 (e) 4 (f) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4, -o + 6*o - 6 = 2*c. Let y(k) = 4*k**2 - 3*k**2 - o*k**2 - k**2. Let z(s) = -12*s**2. Determine y(z(t)).\nAnswer: -288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 477060 and 12675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Let s be ((-16)\/(-24))\/((-1)\/(-3)). Differentiate -1 - v**u - v**s + 3 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259816283*r**5 + r**4 + 5*r**2 - 6141*r + 13.\nAnswer: 15588976980*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*y + 69*y - 139*y in the form q*y + b and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a - 5. Suppose 4*c - 21 = -a. Solve c*n + 12 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqrrrrqjqqrr. Give prob of sequence rqqr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:33 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = 5*a, -a = -3*k - 0*a + 3. What is the remainder when 3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144308 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-3)\/((-7596)\/66298). Let w = -24394565\/633 - -38538. Let p = l + w. Find the common denominator of 49\/18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99609.\nAnswer: 3, 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 22. Let j(g) = g**3 + 4*g**2 - 4*g - 6. Let v be j(-4). Let i be q(v). Suppose 3*z - 20 = -i*z. Solve y = z*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, d: 1, l: 14}. What is prob of picking 4 l?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 2*j + 420 = 47*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2 + 4*t + 1. Let m be ((-2)\/(-5))\/(6\/(-30)). Let j = m - -6. Determine q(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5 + 79111*r**4 + 1563489943*r**3 - 45399610755*r**2 + 161269909200*r - 117433867500 = 0.\nAnswer: -39570, 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 245. What is the remainder when k is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h*i**3 + 7470*h*i**2 + 3585753*i**3 with respect to h.\nAnswer: 8*i**3 + 7470*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 50380500 to the nearest one hundred thousand.\nAnswer: 50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015848 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 11*k + 179. Determine g(-12).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -14. Let h = d + 12. Let c = 18 - h. Solve 2 = -c*b + 2*k, 0*b = -3*b + 2*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898843476?\nAnswer: 2, 724710869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2019*f**3 - 2*f**2 - 2*f + 1451. Let g(d) = 4038*d**3 - 5*d**2 - 5*d + 2896. Let c(q) = 2*g(q) - 5*w(q). Differentiate c(b) with respect to b.\nAnswer: -6057*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**10\/112 - v**6\/15 - 11*v**3\/3 + 18*v. Let n(r) be the second derivative of y(r). Find the third derivative of n(l) wrt l.\nAnswer: 5400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from ddrxyyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/24 + w**2\/2 - 6. Let p(z) be the second derivative of d(z). Let i(r) = -4*r**2. Give p(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v)*(-1 + 0*v - 1 - 3*v).\nAnswer: -6*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -5 in decreasing order.\nAnswer: 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6, -39 in decreasing order.\nAnswer: -0.4, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1efe2c (base 16) in base 4?\nAnswer: 13233320230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 8 - 9. Is i < -2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10205534 is divided by 3628.\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205429 is divided by 1696?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20283 + -12865. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(3)*-6)\/(sqrt(32)*-6))**2 + 1.\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + -3 + 9. Suppose 0*c + 22 = 3*a + 5*c, -i*a + 5*c + 6 = 0. Find the third derivative of -6*y**6 + 7*y**2 - 5*y**2 + a*y**2 wrt y.\nAnswer: -720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 2, -0.8.\nAnswer: -5, -1, -0.8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125612 is divided by 307.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.57. Let z = 0.5 + h. Let q = 0.7 - 0.3. Which is the nearest to 1? (a) -2 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11 + -1 + -5 - (-154)\/8 and (214\/24)\/(10\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 17328?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/36 + 10521\/(-756))*390\/(-364).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:22 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 5. Let l be f(5). Suppose l = g - 12 - 4. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g**6 - 1\/15*g**3 + 0*g + 2*g**2 + 0 + 0*g**4 + 1\/75*g**5 - 1\/525*g**7. Factor x(q).\nAnswer: -2*(q - 1)**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*o = -0*o - 100, -3*n - 2*o + 258 = 0. Calculate the highest common divisor of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3 - 3)*(114 - 114 - 10*o**2 - 2*o**4) + (0 + 0 + o)*(-28 - 8*o**4 + 28).\nAnswer: -12*o**5 - 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 514*m + 6*m**2 + 46.\nAnswer: 6*m**2 - 514*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 549414130 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000097764 to 6 decimal places.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.31337mm in micrometers?\nAnswer: 57313.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 172, 259, 346?\n\"Answer: 87*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h - 5. Let t(u) be the second derivative of -3\/2*u**2 + 0 + 2\/3*u**3 + u. Let v(p) = -3*m(p) + 5*t(p). Let y(d) = -d - 1. Give -3*v(j) + 2*y(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 282?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + r - r)*(5 - 2*r**3 - 5 + (3 - 2 - 3)*(3*r**3 - 3*r**3 - 2*r**3) + 203*r - 203*r - 46*r**3)*(0*r + 0*r + r).\nAnswer: 264*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 50*z**2 + 1. Suppose 10*q - 7*q = 3. Is y(q) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 3, -841, -1\/2, -1.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12769, -4\/9, 1\/2 in decreasing order.\nAnswer: 1\/2, -4\/9, -12769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2138 - -22849. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/((-4314)\/(-148833)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.04323l to millilitres.\nAnswer: 9043.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a5069 (base 11) to base 10\nAnswer: -153140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26113 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 188662, 188666, 188674, 188686, 188702, 188722?\n\"Answer: 2*g**2 - 2*g + 188662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/2 - 2130*b - 358416 = 0. What is b?\nAnswer: -152, 1572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - (-4 + -2) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/12 - -2)*48\/(-2). Suppose -23*t + 45 = -v*t. Is 2 a factor of (-6)\/t - ((-420)\/9)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44844425?\nAnswer: 5, 59, 30403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16901*w - 35 - 45 + 113*w**3 + 86 - 16901*w.\nAnswer: 113*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k - 29 = -55*k + 5*p, -5*k + 3*p = 37 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.2 (b) -45 (c) 1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 2*m = 0, 3*c - 2 = 2*m. Suppose -3*y = 2*y - 10. Let s(u) = c*u - 6*u**y - 2*u - u**2. Let x(v) = -v**2. Give -s(d) + 5*x(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 26 + 7 = 3*k, s = 3*k - 15. Put s, 3, -226 in increasing order.\nAnswer: -226, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.3 + 15.3. Let b be (6\/(-9))\/(7\/(-3)). What is the closest to b in l, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000077185404 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1165\/2016 and -44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - ((-135)\/(-9) + -7668).\nAnswer: 2, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383 is divided by 155.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(864) - sqrt(96)\/(-3*sqrt(4)))\/(((-2*sqrt(480))\/sqrt(8))\/(sqrt(45)*-6)).\nAnswer: 57*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.9 - -23.5. Let l = f + -6.6. Let i = 0.2 + 0.3. Which is the third biggest value? (a) i (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2 = -6*s + 2*k, 3 = -3*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:23 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 + -3 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6569248km in micrometers?\nAnswer: 656924800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -3287*l**5\/60 - l**4\/8 - 355*l**3\/3 + 3*l**2 - 902. Find the second derivative of h(i) wrt i.\nAnswer: -6574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/21)\/(-10 + 959\/98)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/214 + 83\/1712. Let i(o) = 4*o**2 + o + 1. Let c be i(-1). Let u = c + -3. Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**3 - 4*j**3 - 3*j**3 + (-2 + 3 - 3)*(j**3 - 2*j**3 + 2*j**3))*(3 - 2 - 2) + j**3 - 4*j + 4*j in the form r*j + t*j**3 + z + w*j**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*m - 56 - 20, -4*m - 128 = -4*f. Let h = 31 + m. Solve -3*i + 3*r + h = 0, -3*i + 2*r - 3 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 12*v**2 + 10*v + 0*v + 0*v.\nAnswer: -12*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**2 - 6*l + 12. Determine h(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02871 and 573.366.\nAnswer: 573.33729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 548 or -0.2?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -556755 divided by 111351?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85495*6\/15*1 - (-14 + 19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(17) - sqrt(204)\/sqrt(12)*3)*-5.\nAnswer: 20 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60257195.\nAnswer: 5, 139, 277, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*p + 301*p - 3*g = -2*g - 76, -4*p + 8*g = -80 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d. Let y(a) = 2061*a - 1056. Calculate y(h(z)).\nAnswer: -26793*z - 1056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {b: 1, g: 1, o: 1, e: 2, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 194124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 902 and 214717.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717022780 to the nearest integer?\nAnswer: 26777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6488 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.003 - -3.703. Let v = -1115\/7 - -159. Sort 0.4, w, v in ascending order.\nAnswer: w, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(-2*sqrt(77) - sqrt(77)) - sqrt(77)) + sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/11)*z\/(z\/z**14))\/(z\/z**(4\/7)*z**(-4\/3)) assuming z is positive.\nAnswer: z**(3779\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 10*p**3 - 12*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -735 - -744. Let u(c) = -2*c + 13. Give u(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(10*i - 5*i - 29*i) + (0*i - 3*i + i)*(0*i + 0*i - 6*i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/(-21)*(-9)\/2. Let v be d\/(-10)*-2*2\/(-12). Which is the closest to v? (a) 0.3 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538325840 to the power of 1\/2, to the nearest integer?\nAnswer: 23202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 8\/13 + 24\/13*i + 6\/13*i**3 + 22\/13*i**2 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2))**40)**(-11) assuming d is positive.\nAnswer: d**(-1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2824 = 1099*t - 393*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2 + (3 - 2 + 0)*(0 + 3 - 1) + 1 + 0 + 0)*(539*o**5 + 389*o**5 - 362*o**5) - 2*o**5 + 2*o**5 + 2*o**5.\nAnswer: 568*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 17*w - 4. Let v be b(-13). Suppose -5*f + 363 + 237 = 0. Calculate the greatest common factor of f and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11348382 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29807507 divided by -6?\nAnswer: -29807507\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71022 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3735, 3696, 3631, 3540, 3423, 3280, 3111?\nAnswer: 2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7574570.5243271 and -1.\nAnswer: 7574569.5243271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 155?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10928791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o**3 + 684 - 1412 + 728.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-120))\/((-192)\/160)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z**5 + z**2 - z**2 + (z**5 - 5*z**5 + 5*z**5)*(0 - 2 + 4).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -0.2, 20, -195, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 1, u: 1, i: 1, a: 3}. Give prob of picking 1 i, 1 u, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-4)\/16). Suppose 0*a + 2 = -a. Let m = -1 + a. Sort -4, q, m in decreasing order.\nAnswer: q, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = y + 1. Let n(u) = 15*u - 10. Let d = -9 - -41. Calculate the remainder when n(y) is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 29. Let t be z(16). Sort -26, t, 3 in decreasing order.\nAnswer: 3, t, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -617 divided by 6\nAnswer: -617\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = -31*h + k - 2, 4 = 5*h + 2*k. Let a(l) = 2*l**2 - l - 4. What is a(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2026*s + 860*s - 1580*s - 89*s in the form a*s + w and give a.\nAnswer: -2835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -116. Suppose -5*n + c + c + 106 = k, -2*n = -2*c - 46. What is the remainder when n is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-16929)\/(-114))*-638.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 67436 times -0.5\nAnswer: -33718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:20 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 43920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4 - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -706*o + 704*o + 2*g - 2, 4*g = 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -0.3753\nAnswer: -2.2518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(3\/8))\/k*k)\/k)\/(k\/(k\/((k*(k*k**(5\/3))\/k*k*k)\/k))))\/((k**(-3\/5)\/k)\/(k*k**(6\/11))) assuming k is positive.\nAnswer: k**(-1183\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 2*q + 13. Is n(6) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 5 + 1 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let x be 25\/10*(-4)\/r. Solve -x*u = 2*u - 20, -10 = 5*s + 3*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c - 541*c**3 - 8*c + 429*c**3.\nAnswer: -112*c**3 - 39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**8\/5040 - w**7\/1260 + w**5\/180 - w**4\/72 + 11*w**3\/6 - 9*w. Let j(l) be the second derivative of o(l). Solve j(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2014*i**2 - 791 wrt i?\nAnswer: -4028*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*o*u*x**4 + 118387*o*u*x**2 - 3*o*u + o*x**2 - 25451*u*x**4 - 2*u*x wrt x?\nAnswer: 1080*o*u*x - 610824*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ipipppiippippipiipii.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, 116042, 1 in ascending order.\nAnswer: -4, 1, 2, 3, 116042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20893088 is divided by 471.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 8) in base 5?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0 - 12*r**2 - 3\/8*r**4 + 3\/2*r**3 + 0*r. Does 9 divide z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*7993\nAnswer: 7993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -10222332211?\nAnswer: 10222332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -x - 3*n - 4, 16 = 4*x - 4*n. Suppose -x*q - 43 = -5*r, 3*q - 4*q - 4 = 0. What is the remainder when 20 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1042 + 10?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -2. Let o = -15 - m. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -2\/11, 0.4 in descending order.\nAnswer: 6, 0.4, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*y + 249*y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = z - 45, -2*z + 3*z = -4*r + 35. Suppose -5*p + 157 - 47 = 0. What is the greatest common divisor of p and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = t - 2*t - 2, t - 5*y - 38 = 0. Suppose 9*k = t*k - 2364. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132255*i**4*x + i**2*x**2 - 2*i**2*x + 123994*i*x**2 - 10*x**2 wrt i?\nAnswer: -1587060*i**2*x + 2*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 724*m - 550*m - 656*m - 593*m - 965*m to the form j + w*m and give w.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112561\/168855 - -3\/56285. Let -10 + f*c**2 + 28\/3*c = 0. What is c?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 85\/6, -0.1, 4, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 4. Let f be (-33)\/(-3) - 2*2. Let v(a) = -f - 12 + 11*a - 2*a + 2. Let w(g) = g**2 + g. Let q be w(-3). Determine q*v(k) + 26*s(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-8 + 14 - (-9 - (-15 - -4)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -123, -268, -491, -804, -1219, -1748, -2403?\n\"Answer: -2*b**3 - 21*b**2 - 2*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225\/28 + -45\/14. Let o(g) = -g**2 - 44*g - 102. Let r be o(-41). Find the common denominator of t and 7 - (1806\/40)\/r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3210738 - 2041607. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 10*q**2 - 5*q - 273. Let s(t) = -t**3 - 4*t**2 - 2*t - 137. Calculate 5*s(n) - 2*w(n).\nAnswer: -n**3 - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -114104 (base 7) in base 10?\nAnswer: -20633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r + r**2 - r**2 + 2*r**2 + 0*r**2 + (-26 + 3*r + 26)*(-2*r + 2*r + r) + (-3*r + 0*r + 5*r)*(-r + 2 - 2) - r**2 - r**2 + r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from rllrqjttltllll.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 804*r**3 - 44*r**2 + 0 - 802*r**3 to t*r + q + x*r**3 + f*r**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*a - 3 + a - a - 4*a + a - 3*a + 0*a + (1 - 1 - 1)*(3*a - a - 3*a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 171, 332, 565, 894?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:49 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 24185608 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*x + 1227, -c + 409 = x - 0*c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:56 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**10\/10080 - c**9\/7560 + c**4\/12 + c. Let l(i) be the third derivative of p(i). Solve l(z) = 0 for z.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159251*p - 318510*p + 159251*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 1500 = 3738. Calculate the remainder when j is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*a - 2*a**2 + 50*a**4 - 6*a**3 - 90*a**4 + 45*a**4 + 2*a to the form n*a**4 + w*a + y*a**2 + k*a**3 + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b8c + 0?\nAnswer: 2b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 8046\/270 - (1 - (-16)\/(-10)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2192\/2740 - ((-42)\/20 - -3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 82. Let w be r(13). Find the second derivative of 1 + 0 + 10*u**4 - 7*u**4 + 2 - 11*u**w + 26*u wrt u.\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 170. Suppose 3*b - h = -16. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, h: 1, r: 3, s: 1, q: 1, v: 1}. Give prob of sequence rqvx.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4010502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -1.9. What is the closest to -2\/11 in 2, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (23 - 4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2. Let v(q) = -79*q - 6. Let l(t) = 81*t + 7. Let r(d) = 5*l(d) + 6*v(d). Calculate c(r(h)).\nAnswer: -9522*h**2 - 276*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 9, d: 3, p: 4}. Give prob of sequence hcpp.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Suppose r = -2*z + 12 + 52. What is the greatest common divisor of 48 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 228*l - 3911. What is d(17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/(-90))\/(4004\/168)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 12 + 12)*(-c**3 + 4*c**2 - 4*c**2) + (-1 - 2*c**2 + 1)*(-2*c + 0*c + 0*c)*(0*c - c + 0*c) as f*c**2 + w*c + u*c**4 + q + x*c**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999779 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1947 - 675. List the prime factors of t.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/12 - v**3\/2 - 13*v**2\/2 + 1167*v. Calculate n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 5*y**2 - 42*y. Let i(h) = -6*h**3 + 14*h**2 + 125*h. Suppose 5*k - 4*o - 50 = 0, 2*k + 8 = 399*o - 403*o. Determine k*i(n) + 17*z(n).\nAnswer: -2*n**3 - n**2 + 36*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 7, x: 1}. What is prob of sequence vxb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 1\/3, 0.3, -36, 4.06, 0.7, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - p**2 + (-3*p + p + 0*p)*(-4*p - 2*p + 4*p) - 5*p**2 + 8*p**2 - 12*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f - 1560 = -87*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612942 is divided by 444.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**5 + 8*q**3 + 4*q. Let b(c) = 4*c**5 - c**4 - 7*c**3 + c**2 - 3*c. Let h(u) = -4*b(u) - 3*d(u). Factor h(t).\nAnswer: -4*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-594)\/(-3135)*46\/(-69))\/((9\/5)\/3).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-8) - (-86)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -25 - (-18 - -5) - (-2 + 22)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1*1\/(-6)*-2)\/((-1)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.4, -1, -0.4, 2\/27, -1\/5 in decreasing order.\nAnswer: 4\/3, 0.4, 2\/27, -1\/5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -z + c, -3*z + 0*z - 4*c = -130. Suppose -16*u + 10*u = -114. Suppose 5*h - 6*h + u = 0. Calculate the highest common divisor of z and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11319972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/20 - o**4\/24 + o**3\/3 + 5*o**2. Let a be f(1). Let n(t) = 3*t**3 + 2*t**2 - t - 2. What is n(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 14\/15*i**2 - 2\/5*i + 2\/15*i**4 - 2\/3*i**3 + 0 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255826546, 255826547, 255826548, 255826549, 255826550, 255826551?\nAnswer: 255826552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3296*p**2 - 6601*p**2 + 3309*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-405)\/270)\/((-3)\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-588)\/(-378))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 11*s + 206. Determine q(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/7 - 83\/70. Let r(c) be the second derivative of 1\/2*c**3 - 2*c + 0*c**4 + 0 - p*c**5 + 0*c**2. Find the second derivative of r(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 - 22*d - 24. Let t be u(-1). Let q(w) be the second derivative of 3\/2*w**t - 4\/3*w**3 + 0 - 15*w + 1\/12*w**4. Calculate q(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/7 - 389*b**3\/7 - 771*b**2\/7 + 1161*b\/7 = 0. What is b?\nAnswer: -387, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n - 1. Let z be x(5). Let h = -32 + z. Suppose -f = -5*w + h, -5*w + f = 2*f - 48. What is the smallest common multiple of 14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k - 10. Let u(g) = -g**3 - 4*g**2 + 5*g + 3. Let o be u(k). Suppose 0 = -o*c + 80 - 26. What is the greatest common factor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6*15\/(-10))\/((-2)\/(-8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*g - 15*g - 21*g + (1 - 1 + 2*g)*(-1 + 10 + 3).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573) + 3 + (sqrt(1573) - (sqrt(1573) + 0 + 1)))**2 - (5*(sqrt(130) + (sqrt(130) - -2*sqrt(130))))\/(sqrt(20)\/sqrt(2)*6).\nAnswer: 122*sqrt(13)\/3 + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -3*x**3 - 58*x. Let y(f) = -6*f + 5. Let o(a) = -a + 1. Let m = 23 + -24. Let n(j) = m*y(j) + 5*o(j). Calculate t(n(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.4. Let k = 45.9 + -40.9. Let l = 0.03 + 0.37. Sort j, k, l in ascending order.\nAnswer: j, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 31 = 5*d, -4*d - 4 - 4 = -4*n. Let x(w) = w**2 + 6*w + 7. Let k be x(d). Let r(y) = 3 - k*y - 3 - y. Calculate r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1600)*-3)\/(sqrt(5) + (sqrt(5) - sqrt(25)\/sqrt(245)))*-5)**2.\nAnswer: -7056000\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 - 4*t - 16. Let a be q(-5). Let y(k) = k**3 - 2*k**2 - k - 2. Let z be y(3). Solve 0 = -5*g - f - a, -5*g = z*f - 2*f + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2173 - 1514. Suppose 4*u - 3*y = b, 5*u + 5*y - 683 = u. What is the remainder when u is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962202870 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (26 - -17) + 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 295*i - 9132. Give j(31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (2*-3 - -2). Let t be (4\/h)\/((-4)\/(-6)). What is the nearest to -0.2 in 5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 + 903*k**3 - 13911*k**2 + 66129*k - 83790 = 0. What is k?\nAnswer: 2, 7, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -17. Solve 4 = q*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (153\/(-54))\/((-272)\/32)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(3*d**5 - 15*d**2 - 15*d**2 + 32*d**2).\nAnswer: 3*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279 - -562. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2783 + 7578 + 15271 = -356*c for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 3*r**4 - 14 + ((-1 + 5 - 3)*(4*r - 2*r - r) - 3*r + r - r)*(-3*r**2 + 2*r**3 + 3*r**2) - 2*r**4 - 11*r**4 - 6*r**4.\nAnswer: -26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - w**4 + w**3 - 688*w + 688*w + 93*w**4 + (6*w**2 - w**2 - 2*w**2)*(-3*w - 2*w**2 + 3*w) + 2*w**3 - 2*w**3 - 2*w**4 - 2 + 2 - w**4.\nAnswer: 83*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -q + 29. Let b(c) = -9 - q*c + 29 + 22 - 6. Let a be b(-4). What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 27*x - 116. Let m be s(-21). What is the hundreds digit of 17*m*(28\/8 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:11 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1809 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50727 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h - 5. Let j(a) = a - 1. Let w(b) = 5*j(b) - o(b). Let f = -70 + 64. What is the tens digit of w(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 9 + 1 - 6*z**2 + 2 - 5*z**3 + 13*z. List the prime factors of b(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.9379 - 0.9379. Let h be -4 + (1 - -1) + 154\/55. Suppose -5*d - 12 = q, 0 = -2*d + 4*q - 6 - 12. Which is the closest to d? (a) n (b) 0.06 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 + -4 - -3 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 divided by 11105?\nAnswer: 2466\/11105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -4*k + 0*k**2 - 11\/6*k**3 + 0 - 1\/12*k**4. What is the second derivative of m(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*g**4 + 0*g**2 + 4\/15*g - 2\/15 - 4\/15*g**3.\nAnswer: 2*(g - 1)**3*(g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -190469795275.\nAnswer: -190469795274.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)**(-2\/99)*f\/f**(-1\/8)*f*(f\/(f**(7\/5)*f*f)*f*f*f)\/f assuming f is positive.\nAnswer: f**(6671\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11 = v, -3*v - h = -3*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00203 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6. What is the biggest value in 1, -2, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7611450.\nAnswer: 2, 3, 5, 7, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -384.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346923822.\nAnswer: 2, 3, 7, 1180013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*70\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 14.81.\nAnswer: 207.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and (23\/46)\/(1*1\/32)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1527.\nAnswer: 458.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134751 smaller than 134751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5380*r + 29102*r - 4502*r.\nAnswer: 19220*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 + 4*q**3 - 4*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 187 = 14*t. Is t not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(sqrt(3) - sqrt(3)*5)**2 + 3 - ((-4*(sqrt(300) + 2*sqrt(300)))**2 + (sqrt(300) - (sqrt(300)*-2 + 1))**2).\nAnswer: -44458 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-135)\/5*43\/387)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {s: 6, n: 3, h: 2, j: 2, o: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 - 8*b - 3. Let p(n) = 2*n + 3. Let x be p(-3). Let g(r) = -11*r**2 - 16*r - 5. Let u(m) = x*g(m) + 7*q(m). Let u(f) = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -470*f - 890. What is the remainder when 1518 is divided by c(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0245 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 > 5443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from jcnclttnb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1364393000 to the nearest 1000000.\nAnswer: 1364000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11653 - -11689. Solve -3*v + h = 5*g + 41, 5*g = 2*v - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898757713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 61*o**2 + 214*o + 24. Calculate k(4).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9457 + -1?\nAnswer: -9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*q + 52 = -211*q + 4*k, -2*q = 4*k - 20. Solve c = -5*b - 12, -23*c = -18*c + 3*b + q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - 7*u**4 + 0*u**4 + 2*u**2 + u**4 - 2*u**2 + (3 - 1 - 1)*(-3*u + 3*u - 2*u**4) - 2*u**4 - 3*u**3 + 3*u**3.\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*((-4991)\/7130 - (-8)\/(-10)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2630, 2631, 2632?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddk when four letters picked without replacement from {t: 3, k: 1, d: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 17, -1\/758, 2\/3?\nAnswer: -1\/758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 709*h**8\/112 + 229*h**5\/5 - 438*h**2 + 2. What is the third derivative of s(j) wrt j?\nAnswer: 127620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/4146 and 37\/615180.\nAnswer: 425089380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 580 + 534 = -8*x, -5*l + 96 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -1054, -1582, -2110?\nAnswer: -2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 22 (c) 0.5 (d) -2075236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000429552 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Solve g*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(3 - 0) - -3. Let o = 3 - -2. Suppose -k - 3*v = -v - 10, -2*k = v - o. Sort i, k, -5.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 + 6 = 3*q, -q = -5*k + 35. Suppose -6*p - 10 = -k*p. Suppose -2 + 447 = p*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*o + 0*o = -5*o. Let w(r) be the first derivative of 0*r + 3 - 1\/3*r**3 + o*r**2. Let h(q) = q**2. Determine h(w(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07216 and -15?\nAnswer: 1.0824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3))**(-4)*((y**4\/y)\/y*y*y)**(-1\/20) assuming y is positive.\nAnswer: y**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 9, 2, 5 in ascending order.\nAnswer: -25, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -959 + 959 + 50*d to the form l*d + q and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*v + 4*n, -2*n - 25 = -2*v - 5. Let w be 2\/(-6) - v\/(-6). Let m = w + 7. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.34 - -64. Let f = 0.34 + p. Let i = 15 + -16. Which is the closest to -3? (a) f (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 + (-212)\/(-224). Let a = -7705 - -7704. What is the closest to a in 0.5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 60\/(-8))\/((-14)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(3\/7))\/(q**2\/q)*(q**(-2\/7))**0 assuming q is positive.\nAnswer: q**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*b = 829 + 733, 3*y - 1154 = 5*b. Calculate the remainder when y is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1271 or 16512\/13?\nAnswer: 1271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 + -138. Suppose -2*v = r + 12, v = -0*v + 5*r - 28. Let c be v*(7\/(-42))\/((-1)\/d). Let h(x) = x - 2. Give h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.3 (c) 5 (d) -8361 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 12) in base 9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215545458.\nAnswer: 2, 3, 29, 1238767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:38 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 0.9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 16775*t**3 - 260*t**2 - 51853300*t wrt t?\nAnswer: -12*t**2 + 100650*t - 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -16*v + 12*v - 17, -3*v - 4*u - 34 = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.63022 years to centuries.\nAnswer: 0.0463022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10.4. Let n = -4.6 + m. What is the closest to 1 in -1, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15588 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9448347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 7.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 4*h**3 + 5*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-338*c**4 - 339*c**4 + 194 + 687*c**4)*(-6 + 2 + 7)*(-2*c - 1 + 1).\nAnswer: -60*c**5 - 1164*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26249\/18318 - -231\/142. What is the common denominator of m and (-2177)\/(-105) - (-3)\/5?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2, 1529 in decreasing order.\nAnswer: 1529, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1658291, 1658389, 1658487, 1658585, 1658683?\n\"Answer: 98*o + 1658193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9206?\nAnswer: 2, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1009 and 3?\nAnswer: 3027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860*r - 228*r + 7 - 843*r.\nAnswer: -1931*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66709*g**4 + 70487?\nAnswer: -266836*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15431773 divided by -173\nAnswer: -89201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 30. Suppose 4*z + y = -6*z. Sort -4, z, -0.5, -1 in increasing order.\nAnswer: -4, z, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/80*24\/(-93).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**20)*m**(-35))\/(m*((m\/(m*m**(20\/7)\/m))\/m)\/m*m)**(7\/6))**(4\/11) assuming m is positive.\nAnswer: m**(-634\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1907 = -1067. Suppose 19*i - n = 9*i. Calculate the highest common divisor of i and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckskekkkjcscekcsks. What is prob of picking 2 k, 1 e, and 1 s?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*c = 16, 6*j = j + 2*c + 2. Let t = -10325 + 10325. Factor 1\/3*f**j + 0 + t*f.\nAnswer: f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953772?\nAnswer: 2, 3, 79481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(2\/25)*c*c*c\/(c\/c**7)*c)**50\/((c\/(c\/(c\/c**(10\/7))))\/(c\/(c**(1\/4)*c)))**11 assuming c is positive.\nAnswer: c**(18367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.1 - -7.1. Put p, -1\/3, -5, -13 in ascending order.\nAnswer: -13, -5, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from wuwuuiuuwuuuwu?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1. Let g = 3795 + -3792. Let p(o) = -28*o**3 + 3. Determine g*w(m) + p(m).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 39. Let f(y) = -7*y - 41. Let z = 75 - 83. What is the remainder when a is divided by f(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0012 - 0.1988. Let r be 2\/4 + 1973\/22. Let p = -90 + r. Put d, p, 0.5 in decreasing order.\nAnswer: 0.5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8302063 is divided by 517.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/24 - 1\/(-4). Let i = -1 - -3. Suppose 0*r - k*r = -4*t + 126, -2*r - i = 0. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 29*a - 68 + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 16*x + 80. Let m be f(-8). What are the prime factors of 38464\/m + (-4)\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.63 * -2\nAnswer: -5.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4356 and 7524.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 10 - (0 + 3) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1612 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*f - 2 = 7, 5*r - 12 = 4*f. Let t = r + 10. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -4, -0.332, -1\/5, -0.04 in ascending order.\nAnswer: -4, -0.332, -1\/5, -0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6017 is divided by 271.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 3*t**2 + 4*t - 7*t - 16 - 6*t. Let i be p(11). Let y(c) = 12501*c**2 - 5*c - 6. Let b be y(i). Round b to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110 (base 2) to base 15.\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-64)\/(-48))\/((-56)\/(-21)). Let v(r) be the second derivative of b*r**3 + 0*r**2 + 16*r + 0 - 3\/2*r**4. Find the second derivative of v(g) wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -4d8a?\nAnswer: -4d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**12*j)\/j*j)\/((j\/(j**(-15)\/j))\/j)*j**(2\/21)*j**0 assuming j is positive.\nAnswer: j**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*c*g**3 + 128*c*g - 2*g**2 wrt g?\nAnswer: -696*c*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -610549\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2933 divided by -29770?\nAnswer: 2933\/29770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53095 or 56.4?\nAnswer: 56.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (4 + (-2 + 0)*1). What is the smallest value in -2\/15, 0, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 + 219 = -5*t. Let x = t - -218. What are the prime factors of x?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7038 and 217626?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7997*g + 3377*g - 15639*g.\nAnswer: -4265*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(275851 - 275851 - 2607*k) + 3*k + 2*k - 3*k.\nAnswer: -2605*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 8 (b) -4 (c) -1\/4 (d) 91.6 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 101, 86?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354*n**2 - 559*n**2 + 157*n**2 to j*n + o*n**2 + g and give o.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 9*a + 9. Let p(x) be the second derivative of -x**4\/3 + 3*x**3\/2 - 4*x**2 - 2*x. Let n(q) = 4*p(q) + 3*v(q). Is n(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81.1 in 0.35, -3, 1\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + 2*d, 0*h + 5*h - 23 = -2*d. Solve 6 = 2*a - 2*k, -h*a + k - 1 = -0*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 13*v**2 - 36*v + 12. What is c(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 923353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -14*s**4\/5 - 8572*s**3\/5 - 350064*s**2 - 119354688*s\/5 - 33958656\/5 = 0.\nAnswer: -204, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -203291.71966005 less than 0.05?\nAnswer: 203291.76966005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 81\/4, 3\/4, -0.4, 1\/4 in descending order.\nAnswer: 81\/4, 12, 2, 3\/4, 1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11106 and 459?\nAnswer: 566406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584 = -h - 590 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200202221002010 - 11?\nAnswer: 1200202221001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91397591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52274\/9 + -5808. Which is the second biggest value? (a) 2\/5 (b) -4\/3 (c) g (d) -1.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:42 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11779*s - 47095. Determine l(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 33*b.\nAnswer: 3*b*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-224)\/40) + 171\/15. Let b = -0.11 + 0.01. What is the nearest to 0 in k, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*j - 5*f + 2, -5*j - 5*f - 15 = 0. Let w be (-7)\/(-21)*(-2 + 5). Let z = 138.4 + -138.2. Sort j, z, w.\nAnswer: j, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11875916181 and 62.92?\nAnswer: 11875916243.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**1)\/h)**(1\/3)\/(h**(-8)\/(h*h**7\/h*h*h)))\/((h\/h**(-1\/2))**(3\/11)\/((h**(-3)*h)\/(h**(3\/2)\/h))) assuming h is positive.\nAnswer: h**(487\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -a, 5*j - 3*a - 2*a = 20. Let g(h) = -h**3 + 5*h**2 + 14*h - 12. Let p be g(j). Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (1 - 0)) + 4. Suppose 3*u + 0*u + f*i + 179 = 0, -2*u = -5*i + 132. Round u to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -311149 at least -311143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -111781.\nAnswer: 22356.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -709, -1277, -1789, -2239, -2621, -2929, -3157?\n\"Answer: p**3 + 19*p**2 - 682*p + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -131445 * 1.9\nAnswer: -249745.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -3, 5, -84, -13 in decreasing order.\nAnswer: 5, 4, -3, -9, -13, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v + 12. Let l(c) = -4*c + 11. Let n = -32 - -26. Let s(j) = n*d(j) + 7*l(j). Let h = 34 - 39. Give s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331 + -42 - 1\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*j = -27, 4*w + 22 = -j - 43. Let x = 76 + w. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbn when three letters picked without replacement from {b: 3, m: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869371 is divided by 72398.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*i + 184*i + 1 + 14*i - 381*i + 47.\nAnswer: i + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 30, 67, 130, 225, 358, 535, 762?\n\"Answer: q**3 + 4*q**2 - 2*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + a88a67?\nAnswer: a88a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 456, 338, 140, -138?\n\"Answer: -40*l**2 + 2*l + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800105296?\nAnswer: 2, 3, 5477, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3ab3 + 127?\nAnswer: 3c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 59.2. Let p = 6.2 - d. Put 5, p, 0 in ascending order.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 3*s, -r + 18 = -4*s. Calculate the lowest common multiple of 792 and r.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-11 + 8 - 36) + 11).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 108. Find the second derivative of 59*s - s**3 - 8*s**3 - q*s wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t\/t**(1\/9))\/(((t*(t\/((t*t**5)\/t))\/t)\/t)\/((t\/(t*t\/(t\/(t*t\/(t*t\/(t\/(t\/t**(4\/9))*t)*t)))*t))\/t)) assuming t is positive.\nAnswer: t**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9122 (base 10) in base 15?\nAnswer: -2a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*m = 2*m - 2448 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -103859 divided by 1\nAnswer: -103859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**2*y - 386*x*y**2 - 9*x - 2*y**2 + 5612 wrt x?\nAnswer: 4*x*y - 386*y**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiikiikikkk. What is prob of sequence ikkk?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1336, 4, 2, -33, 0, -1, 10 in ascending order.\nAnswer: -33, -1, 0, 2, 4, 10, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) + 3 + sqrt(13)) - (2 + 2 + sqrt(13)).\nAnswer: -7*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228675986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101489306861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(3\/(42\/2)). Let f(x) = -x**2 + 7*x + 2. Let o be f(j). Let z(w) = w**2 + 5*w - o + 6 - 2 + 0*w. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 37*w - 1713. Let q be o(-69). Solve a + 2*j = -15, 0 = -3*a - q*j + 490*j - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/6 - 2*d. Let v(q) = q**2 + 88*q. Let r(u) = -16*u. Let i(n) = 22*r(n) + 4*v(n). What is i(t(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-405)*(-33)\/(-55)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7) + (-1751)\/(-119) + -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 + 0)*(2*n - 6*n - 4*n).\nAnswer: -96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from vwvqqqjrrnnr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let p(r) = -20*r + 21. Let a(z) = -7*z + 6. Let k(n) = 14*a(n) - 4*p(n). What is -k(q) - y(q)?\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 22*r**4\/3 - 108*r**3 + 442*r**2 - 824*r\/3 - 832 = 0.\nAnswer: -1, 3, 52\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38829 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*b*c + 22213*b - c**2 + 2*c with respect to c.\nAnswer: -17*b - 2*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2383 (base 11) to base 5\nAnswer: -44431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*l**2 - 183*l**2 + 258 - 184*l**2.\nAnswer: 7*l**2 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + f - 1)*(250*f + 33*f - 38*f) + (-f - 3*f + 0*f)*(-f - 5*f + 4*f) + (1 - 4 + 2)*(-3*f**2 + 2*f**2 + 2*f**2).\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/31 (b) 68\/103 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61968 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: Suppose 0 = 3*o + 9, 0*d + d + o - 20 = 0. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2da2 (base 16) in base 4?\nAnswer: 2312202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/100 - 11*p**4\/15 - 91*p**3\/30 - 23*p**2\/5 - 2032*p. Solve h(w) = 0.\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9520738 - -5?\nAnswer: 9520743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/549 - -1060\/10431. Suppose -q - 2 + 3 = 0. Put u, -1\/3, q in decreasing order.\nAnswer: q, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/20 + 7*i**4\/12 - 5*i**3\/6 + 3*i**2 - 815*i. Let w be 2*(-8)\/12*-9. Let v = w + -6. Calculate b(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - -2*sqrt(84)*-4)\/sqrt(12).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10910 is divided by 546.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-12) + (-8)\/32. Let h = -553\/1695 + -4\/565. What is the second smallest value in -2, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/(-20) - 2\/4. Let z(h) = -h - 1. Give z(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q**3 + 3 - 137*q**4 - 4*q**3 - 7 + 0*q**3 wrt q.\nAnswer: -548*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3718872 divided by 7652\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135075922 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Suppose -13*d + 3*v + 9 = -10*d, -5*v = 3*d + 15. Let k = -7 + 3. Sort k, d, f in descending order.\nAnswer: f, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 387200?\nAnswer: -3871d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -16, -11, -4, 5?\n\"Answer: m**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44371 - 22260. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 - 1 + 0*i**3 + 8*i**3. Let w be g(1). Solve -w*c - 5*b = 8, -c - 16 = 3*c - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, b: 1, i: 4, a: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56 - 142*z - 24*z**2 + 31*z**3 + 140*z + 24*z**2 wrt z.\nAnswer: 186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -6b4?\nAnswer: -6b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o**2)*(3*o - 4*o + 3*o) + 0*o**2 + 2*o**3 + 0*o**2 + 2*o**3 + 2*o**3 - 5*o**3 + (o**2 - o**2 - 2*o**2)*(-3*o - 2*o + 3*o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439.7282 micrograms to kilograms.\nAnswer: 0.0000004397282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -463260 divided by 2206\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a + 2. Calculate n(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s - 4. What is v(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 19. Let t be c(-16). Find the second derivative of -6*k**t + 5*k**3 - 42*k**4 + 66*k**4 - 102*k wrt k.\nAnswer: 288*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z + 59. Let q be r(-12). Let m = 433 + q. What is the greatest common factor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 42*k. Let v be n(6). Suppose 75 + 38 = 3*l - s, -s - 185 = -5*l. What is the highest common factor of v and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175728 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2854 - 720 - 72 + 1767)*(v - 3*v + 4*v)*(0 - 3 + 1).\nAnswer: -15316*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 621\/2 - 63959\/206. Suppose -2*r - 2 = -2. Suppose 5*f - 4*f + o = 0, 4*f + 5*o = r. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g - 8*g - 1 + 4*g**5 + 1 wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1110480 in increasing order.\nAnswer: -2, -1, 1110480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224923 divided by -131.\nAnswer: -1224923\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (6 - 1))*(-28)\/56. Let a(c) = 4*c + 23. Let h(x) = 4 + 12*x - 17*x - 28. Let d(v) = b*a(v) + 3*h(v). What is the first derivative of d(z) wrt z?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:12 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0323 (b) 66 (c) -5 (d) -3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 - -133.263. Round c to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -1506446077?\nAnswer: -1506446071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009782.\nAnswer: 2, 3, 56099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2) + (0 - -2). Suppose 0 = -10*k - 5*k - k. Sort k, 5, z in ascending order.\nAnswer: k, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (-20)\/6. Let h = c - -117. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 27 - 21. Suppose 5*l = 2*t + 18, 2*l - 6*t = -3*t + q. What is the third derivative of -5*x**4 - x**4 + 7*x**l - 17*x**2 wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -428, -812, 2, 10, 3 in ascending order.\nAnswer: -812, -428, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24817 divided by 3?\nAnswer: 24817\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 672 and 816?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118788 = 5*j + 18623. List the prime factors of j.\nAnswer: 13, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/16*0 + 23. Suppose -4*d + p = 5*k, 2*k + d = 17 - 6. Calculate the remainder when k is divided by (-9)\/(-9) + 2 + 2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*j**2 - 606*j**2 + 1289*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/25 - -1 - 1. What is the biggest value in 2\/17, k, -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (693\/(-27) + 27)\/(-1*4). Which is the second smallest value? (a) -3 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(1377)) - (sqrt(1377) - (sqrt(1377) + (sqrt(1377) + -3*(sqrt(1377) - (sqrt(1377) - -1*sqrt(1377))) - sqrt(1377)))).\nAnswer: 1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from {p: 5, q: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 22 = -2*m, 3*d - 46 = 4*m - 8*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5)*(-2 - 1 + 2)*(-3*x**3 + 10*x**2 - 3*x**2 + x**3) in the form j*x**2 + z + q*x + i*x**3 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 185, 400, 615, 830, 1045?\n\"Answer: 215*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 139*s + 135*s + 5490 = 0, 4*s = -4*a - 21840. Is a at most as big as -5467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/3 (b) 0.1 (c) -3\/7 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 11:12 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -345 - -536. Suppose -21*o - j = -22*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*x - 6, -7 = 2*x + 1. Suppose 3*k - s = 2*k. Let u(h) = h + k*h + h. Let f(v) = -v. Calculate u(f(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 172499*z**5\/60 + 2*z**3\/3 - 5*z**2. Let v be l(-2). Suppose 3*s + 3*s = -v. What is s rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -50 + (15 - -13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 3413\nAnswer: -13652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, g: 11}. What is prob of picking 4 g?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/99*-3)\/((-26336)\/54318)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-150))\/(110\/5325*-6). Let v = u - 2\/11. Do v and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 10382288?\nAnswer: -10382302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a factor of 20333710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Let o = -3.68 - -3.48. What is the nearest to o in 0.2, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 310 = -2*k, -4*k + 6*l = l - 623. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + -168. Let l = 1\/46 + -97\/230. Which is the closest to -3\/2? (a) l (b) -13 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388081?\nAnswer: 1388081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let i(v) = -4*v**2 - 6*v + 2. Suppose -5*n + 38 = 8. What is n*k(m) - i(m)?\nAnswer: 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 7*n - 3. Let h be l(6). Suppose -104 = -4*o - 20. What is the highest common divisor of h and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -92 + -22 + 97.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72b03 + 4?\nAnswer: 72b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (1 + (5 - 5))) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34373305 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/13 or 830179?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgz when four letters picked without replacement from gggggggggzzggggggg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19660 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 2. Give r(14).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*k - 14 = -i, 4*i + 3*k - 31 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6*x = 2*x. Let r = -2 - -4. Solve x*s + 8 = r*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*z - 8 = 9, 3*w = -4*z - 1. Suppose 8*d = w*d. Suppose -3*h = 6 - 0. Which is the closest to d? (a) 0.1 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 3*u + 4*u)*(2*u + u + 2*u) - 41*u + 2*u**2 + 46*u + 2*u**2.\nAnswer: -11*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207040 - 207040. Let t = -0.05 + -0.1. Which is the closest to y? (a) t (b) -2\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39491.\nAnswer: 17, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 2*y + 1 + 0 - 2 + 8*y**2. Let c be o(2). Let s = -24 + c. Calculate the remainder when 36 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 14. Calculate h(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466946 is divided by 233445?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1602 - 130797.40714.\nAnswer: -130797.24694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(-185*x + 93*x - 4328 + 96*x - 1687) as d + c*x and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a - -b?\nAnswer: -4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 208*m**2 + 16*m + 3328 = 0.\nAnswer: -208, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 4\/(2 - -2). Suppose r*h = 3*b + 89, 0*b + 5*b = 4*h - 95. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -235*z - 1178. Let u be j(-5). What is the smallest value in u, -8.44, -1?\nAnswer: -8.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74600 and 11860.\nAnswer: 44237800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -316 divided by -4\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 690 = 8*n. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -19. What is the closest to -1\/3 in -5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*s + 11 = 0, -3*w - 2*w - 5*s = -20. Let u be (w - (-10)\/(-2)) + 10 + -3. Solve -u*q = -9 + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28492 + -141832\/5. Let r be 81\/6*(-28)\/3. Let n = r + b. Sort 0.5, 2, n.\nAnswer: n, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000582482135 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from lxueeemlleqluxuqeqql.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*(-4)\/6)\/(4085\/(-645))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17301 and 711?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(320) + (sqrt(320) - (-2 + sqrt(320))))**2 + sqrt(320) - sqrt(320)) + -1 - (3 + sqrt(320) + sqrt(320))*3)*-4.\nAnswer: -1257 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/75, -92, 1?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215 and 451930.\nAnswer: 451930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7456 is divided by 931?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/313 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 396, 358, 270, 114?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 256\/(-12))\/((-1)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109112664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5671709.\nAnswer: 19, 239, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -15.3. Let j = -13789\/2 + 6893. Which is the second smallest value? (a) g (b) 2 (c) 0 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2. Let k(g) be the third derivative of -g**5\/5 + 9*g**2. Calculate q(k(d)).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 2963788.6\nAnswer: 20746520.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 2*u**2 + u + 1. Let i be t(1). Suppose -4 = -i*r + 56. Calculate the lowest common multiple of r and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592847 is divided by 70.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 180000 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -208. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2939*t - 234. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = z + 15, x + 3*z + 460 = 455 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 17\/480*u**6 - 1\/12*u**3 + 0*u + 0 - 1\/168*u**7 - 7\/80*u**5 - 7*u**2 + 11\/96*u**4. Factor a(v).\nAnswer: -(v - 1)**3*(5*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**3 + 3*x + 3. Let v = -41 + 38. Let q(z) = -z**3 + 5*z**2 + 5. What is v*q(n) + 5*l(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/7 - 366*c**2\/7 - 10708*c\/7 - 85824\/7 = 0?\nAnswer: -149, -18, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 417 + -1001. Let p = 999 + k. Suppose p = 5*q + 5*b, -b - 1 = 3. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1427*r + 51. Let i be t(-8). Suppose 6*a - i = 5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31759524?\nAnswer: 2, 3, 29, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1538 - -1540. Solve 6*i + y*i - 24 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4330 + -4280. What is the remainder when 242 is divided by x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(900) - sqrt(900))*-2*4)\/(4*(sqrt(135) + (sqrt(135) + sqrt(135) + (sqrt(135) - -1*sqrt(135)) - sqrt(135)))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197.7545um to centimeters.\nAnswer: 0.01977545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 8*g + 4. Let a(p) = 2*p**2 + 7*p + 3. Let b(t) = 3*a(t) - 4*v(t). Calculate the least common multiple of 24 and b(8).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96357493187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10 - 10*w + 2*w**2 - 8*w**2 + 7*w**2. Suppose -59 = -5*g + 4*q, 5*q = -4*g + 3*q + 42. Let m be b(g). Solve 0 = 5*y - 4*y + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, l: 3, k: 1}. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 27 + 75 - 7*u - 25.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 3*g, -c - 2*g + 0 = 1. Let b be 2\/(c*2\/12). Suppose -2*h + 0*h + b = 0. Solve h*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2 - (11 - -1)) + 17 + (-106 - -34)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48771*y + 46770*y + 2 - 3 to the form v*y + h and give v.\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -20.3. Let o = p - -62.7. Let m = o + -50.5. What is m rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 146459530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/68)\/((-4)\/(-80)*-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1248194*w**3*y - 2*w**3 - 99*w**2 - 84601*w + 64*y - 2 wrt y.\nAnswer: 1248194*w**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 10*g**2 - 12*g + 24. Let y(b) = -2*b + 5. Let a be y(8). What is the units digit of s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 11:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 15. Put -4, -1, a in ascending order.\nAnswer: -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 11:24 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143 and -2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -74 - 983. Let l be -106 + 2\/(2 + 0). Let h = a + l. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -1\/120*o**6 - o**2 + 4*o - 13\/12*o**4 - 8\/3*o**3 + 0 - 11\/60*o**5. Factor c(t).\nAnswer: -(t + 1)*(t + 2)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 101 - 3*c**3 + 197 - c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + h**3 - 3 - 4 - 2*h**3 in the form s*h**2 + i*h**3 + r + a*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.469582 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9380, 9708, 10232, 10952, 11868, 12980, 14288?\n\"Answer: 98*m**2 + 34*m + 9248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.741295 times 2.5?\nAnswer: 49.3532375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32403152?\nAnswer: 2, 2025197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/4 - 8*z**3 + 37*z**2\/4 + 25*z\/2 - 6 = 0.\nAnswer: -1, 2\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgvf when four letters picked without replacement from vifvvvgvvvvvvgxvvvvx?\nAnswer: 91\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 3, q: 1, v: 1}. What is prob of picking 1 v and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 + -189 - (-2080)\/(-32).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - 12346 = -41*j + 40295. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 9*o**2 - 22*o. Let f be q(11). Solve 0 = -d - 3*c + 11, f = d - 5*d - 3*c + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*y - y - 10*y + 234 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - (-10 + 8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -524913?\nAnswer: 524918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2208 and 457971216?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 - -401. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604920 rounded to the nearest 10000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 9?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 483*q + 782*q + 95*q + 544*q to s + n*q and give n.\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 26, 39, 52, 65, 78?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/3 + 20*o\/3 + 16\/3.\nAnswer: 4*(o + 1)*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85571?\nAnswer: 85571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -12221?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/7 at least 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219356617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3*l**2 + l - 3. Let x(h) = -h + 1. Let v(q) = -2*q + 3. Let f(y) = -v(y) + 3*x(y). Calculate 11*f(o) + 2*p(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2266a98 (base 11) to base 3\nAnswer: -21110022100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + 368?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*h - 2565*h = 20136 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -57*k**2 - 1182*k + 178. Give r(-21).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - k - 4. Let y be o(4). Suppose 43*z - y*z - 11553 = 0. Let a = -284149 - z. What is a rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f**2 - 10*f. Suppose -3 - 7 = -2*a. Let t(o) = -4*o**2 + 3*o. Let j(n) = a*g(n) + 16*t(n). Find the second derivative of j(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1007074104448 and 0.4?\nAnswer: 1007074104447.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**6*t))\/(t*t**(2\/5)*t*t))**(11\/2) assuming t is positive.\nAnswer: t**(-286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1122087 + 15?\nAnswer: -1122072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.035 - 4.035. Put -3, l, 0.1 in descending order.\nAnswer: 0.1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b + 6*b**2 + 3*b + 3*b - 7*b**2 - 2*b. Let z(m) = -4*m**2 - 3*m - 5. Calculate 3*l(o) - z(o).\nAnswer: o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -9. Let p = r - -5. Let c be ((-17)\/p)\/((-1)\/2). Solve 4*q + 4*v - c = 19, 3*v = 3*q + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6931212 divided by 1732803\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2168 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*k + 25*k - x + 343 = -272, x = 2*k + 31 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 28 + 4. Solve 16 = 3*z + 5*x, 0 = 4*z + x - q*x + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 10\/(-4))*-6. Let v be (-4)\/(-14) - 36\/j. Suppose -v*x + 6*x = 56. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53398 or 0.0447?\nAnswer: 0.0447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.125958*-4.\nAnswer: 196.503832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6*j - 5*j + 0 = 4 + 5, -4*n - j + 9 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2*(27\/6 + -2). Let w(h) = -14*h + 8. Is 13 a factor of w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/((6144\/1080)\/64)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/13 and 1584208 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35431319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - (-140 - (-43 + 37))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let n(f) = -2*f - 5. Let i(w) = 4*l(w) - n(w). Let b be i(4). Let s = b - 1. Calculate the remainder when 55 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4709909, 9419810, 14129721, 18839648, 23549597, 28259574, 32969585?\n\"Answer: d**3 - d**2 + 4709897*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 3, -2 in increasing order.\nAnswer: -85, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -27.5. Let t = -17.66 + 17.56. What is the third smallest value in 2, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - 0.27. Let z = f - -0.44. Sort z, -0.5, -1\/6 in descending order.\nAnswer: z, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 443*m - 268. What is b(153)?\nAnswer: 2180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 1. Let q(i) = i**2 - 8*i + 6. Suppose -10 + 3 = -s. Let c be q(s). Determine h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -46. Let w be (-12)\/36 + t\/(-3). Solve 3*u + 7 = 4*v - 6, w*v - 5*u - 15 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210001201 (base 3) in base 13?\nAnswer: -12c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 5*h - 34392. Let a(b) = 10*b. Determine a(k(n)).\nAnswer: 30*n**2 + 50*n - 343920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-9) - (-5)\/15. Differentiate 8*i**2 + 43 - 4*i**4 - 6*i**2 + 20*i**2 + r*i**2 - 191 with respect to i.\nAnswer: -16*i**3 + 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 19*w**2 - 405*w + 1805. What is t(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - f**2 - 2*f**4 - 4*f + f**4 - 2*f**4 - 2*f**4 + (-3*f + 5*f + 0*f)*(f**3 + 0*f**3 - 2*f**3) - 3*f**3 + 4*f**4 + 3*f**3.\nAnswer: -3*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 166578304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-4 + 1 + sqrt(1584) - sqrt(1584)) + sqrt(1584))**2 + 0 + 2 + ((sqrt(11)*2 + -3)**2 - (sqrt(539) + 0 + sqrt(539)))).\nAnswer: -1648 + 98*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (658*n**3 - 34753 + 34753)*(6*n + 6*n + 0*n) to m*n**4 + a*n**3 + j*n + s*n**2 + x and give m.\nAnswer: 7896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76943 + -41860. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 654*s**3 - 10*s - 5. Let y(l) = 1635*l**3 - 24*l - 12. Calculate -12*d(p) + 5*y(p).\nAnswer: 327*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 48 + -54 + 20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**3 - 2 - 9*g**3 + 135264*g**2 - 9*g**3 - 4*g**3.\nAnswer: 2*g**3 + 135264*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 at most as big as -3\/437255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3\/6 + 125*l**2\/6 - 95*l\/2 - 135\/2 = 0 for l.\nAnswer: -27, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -c8?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103)\/1648*-160*(-6)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*((-4*v + 7*v - 2*v)*(-3 + 3 + 1) + 15 - 3*v - 15)*(3 - 1 - 1) to j*v + h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178.919 - -179. Let p = t + -8.081. Which is bigger: p or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.04 + 37. Let j = -0.2 - -0.3. Sort j, -4, u in descending order.\nAnswer: j, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*z + 2)*(1 - 2 + 2) + (-3 - z + 3)*(1 + 6 - 5)*(5 - 21 + 3).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, -6, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2 + y**4 - 637*y**3 + 2*y + 637*y**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 68 = -2*c. Let o be ((-6)\/4)\/(2\/20). Let i be (o\/(-20))\/((-2)\/c). Solve -4*v - i = -9*v - j, -3*v + 2*j = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 294899 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, 0.3 in decreasing order.\nAnswer: 2, 0.3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*q**5 + 110650*k**2*q**4 + 866*k**2*q**2 + 7*k**2*q + 5*k**2 + 1 wrt q.\nAnswer: 60*k**2*q**2 + 2655600*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4671 = -5*a, -5*a - 1253 = -5*y - 7058. Do y and -1164 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**(-5\/8)))\/v))\/(v*(v*v**(-35\/4))\/v) assuming v is positive.\nAnswer: v**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**2 - 160374*v - 15612927 = 0. Calculate v.\nAnswer: -673\/7, 7733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -b + 4*k, 3*k = 5*b - k - 20. Suppose -p = 5*i - 6 - 60, b = 2*p - i - 187. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 - (3 + -1))) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1626 and -0.062344?\nAnswer: -101.371344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (6 - 5) + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 184702773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519773.\nAnswer: 3, 506591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2 - 89\/4*n - n**2.\nAnswer: -(n + 22)*(4*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5581 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = 3*m - 9, 2*l + 2*m = -10. Let t(d) = d**2 - 3*d + 2. What is the smallest common multiple of 6 and t(l)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:54 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4639b + 4?\nAnswer: -46397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12\/32)\/((-18)\/(-120))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let k = 4.93 + 0.07. What is the third smallest value in -2, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54373340 a multiple of 3437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 836 - -2678?\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(9\/7)*y)\/(y**(-32)\/y))**(1\/6) assuming y is positive.\nAnswer: y**(247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 3082?\nAnswer: 3082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 132*d - 130.\nAnswer: -2*(d + 1)*(d + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaicuuichcrciuaca. Give prob of picking 1 h and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 8*b + 4*a + 21, a + 12 = -3*b. Let n(z) = -z**2 - 2*z + 6. What is n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 177 = 45. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1 - 53*h**2)*(-2*h - 3*h + 4*h).\nAnswer: 53*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1624*i*n**2*u**2 + 3*i*n*u + 4*i*u**2 - 66 wrt n?\nAnswer: -3248*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 45. What is the third biggest value in x, 0, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-20 - -32) + ((3 - 5) + 3 - 13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(2\/7))*f\/(f*f**(-2\/13)\/f))\/((f\/f**0)\/f*f*f*(f*f*f*(f**(-2\/9)\/f)\/f)\/f)*(f**(-1))**(-1\/32)*f**2\/f*f\/f**3 assuming f is positive.\nAnswer: f**(-49229\/26208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -140236 divided by 70118\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -647 and 63.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 3.669596161?\nAnswer: -3.269596161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 138172819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 50. Give m(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 + -3 - (5 - 18). Suppose 54 - l = -b. Let u be (b\/10)\/9*0. Solve 0 = -u*m - 2*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-15)*(-12)\/15 - (-30745)\/(-15). Is -2050 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2359 - 1.7643. Let j = 0.17 - -2.83. Let v = j + p. Round v to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*n = -5, 100*s - 2 = 102*s + 2*n. Solve 14*x + 28 = -s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 11. Let p = 347 - 346. Let r = 0.01 + -1.01. What is the closest to m in r, -1\/11, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 15 - (-19 + 20). Let l(s) = -8 + 12*s - 7*s - r*s**2 - 20*s - s**3. Let d be l(-14). Solve d*p - p + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (75 - 0)\/1 - 0. Suppose n = 3*r + 2*i - 4*i, 0 = 2*i. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996832 divided by -8?\nAnswer: -249604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153 + -94. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1332 and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y*(y\/y**0)\/y))**(-1\/34)*(y**(4\/5)*y)\/(y*y**6)*(y*y**(-2\/7)*y)**(7\/2)*(y**0)**7 assuming y is positive.\nAnswer: y**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 22 = 3*h - 2*y, -2*y - 30 = -5*h. Suppose 3 = 2*s - q - 5, s + h*q = 4. Solve -a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885666887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 60621070853.\nAnswer: 60621070854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**2. Let n(x) = 3*x + 7 - 7. Determine j(n(z)).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40752504101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4938 - 2323. Calculate the greatest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1310*u - 3756*u - 2913 - 3879*u + 13142*u wrt u.\nAnswer: 4197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.298 times -110271\nAnswer: 32860.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0435827688 to five decimal places.\nAnswer: -0.04358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -1 - 15. Let j(a) = -a**3. Suppose -3*y + 7*y = 5*o - 1, -5*y = 5*o - 10. Let v(u) = 3*u**3 + 4*u**2. Let x(r) = o*v(r) + 4*j(r). Calculate x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835195480.\nAnswer: 2, 5, 7, 2982841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2*g**5\/15 - 10*g**4 - 232*g**3\/9 + 108. What is w in y(w) = 0?\nAnswer: -58, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19) + 2 - (sqrt(19) - ((sqrt(475)*1 - sqrt(475)) + sqrt(475))))*3)**2.\nAnswer: 216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = -3*z - 0*v, 2 = 2*v. Factor 4*b**3 + 15*b - 26*b + z*b**4 + 7*b - 2*b**2.\nAnswer: 2*b*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 507174478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143735 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3*g**3 - 4*a**3 - 7*a**2 - 4*g**3 wrt g?\nAnswer: 6*a**3*g**2 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3443144 - 10?\nAnswer: -3443204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3585*s - 124122 + 375072 for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (5 - -5))\/((-10)\/(-3270)*-1). What is the highest common divisor of 872 and a?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -39*h**4 - 24576*h**3 + 72222*h**2 + 1241856*h + 1145097 = 0?\nAnswer: -633, -67\/13, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(-1 - 4*g + 1) + 3*g - 4*g + 3*g - 1394*g + 221*g + 167*g.\nAnswer: -1012*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -32.72. Let g = v + -0.28. Let n = -97\/6 - -16. Which is the nearest to g? (a) -0.3 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - m**2 - m + 1. Let v(p) = -7*p**3 - 8*p + 1. Let g(f) = 4*i(f) - v(f). Let w be g(-5). Solve -4 = w*y + 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**5*v)*v*v*v\/v**(-8))\/(v\/((v**(-2)*v)\/v))**(-2\/13) assuming v is positive.\nAnswer: v**(84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 6. Let q(y) = 1. Let p(n) = 6*q(n) + x(n). Suppose -t = -w - 2, t = -4*t + 3*w + 10. Let v(i) = -4*i + 4*i - t*i**2. Give p(v(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -10. Let c = -10 + b. Suppose 0 = x - 4*p - 1 - 11, -c*p = -2*x + 6. Let y(m) = m**2 + 1. Determine y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5898 + 1471118*t**2 + 5898.\nAnswer: 1471118*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/((-1734)\/(-170))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 - 1785725041802.\nAnswer: -1785725041802.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-25\/2)*t*t**(23\/2)*(t*t*t*t**(-1\/26))\/((t\/(t\/((t**24*t)\/t)))\/t) assuming t is positive.\nAnswer: t**(-521\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) -0.5 (d) 34.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 14. What is d(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + 5 + 5.\nAnswer: sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -19*k**3\/6 + 31*k**2\/2 - 38*k. What is the first derivative of m(y) wrt y?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374724 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 1386, 4617, 10898, 21243, 36666, 58181?\nAnswer: 86802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 14*u + 113. Let q(b) = -4*b**3 + 3*b**3 + 13*b**2 + 8*b - 6*b**2 + 1. What is q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -4, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1865, -7474, -16823, -29912, -46741, -67310, -91619?\n\"Answer: -1870*u**2 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x, -4*y + 8 = -x - 4*x. Suppose y*n - 2 = -l, 2*l + 2*l + 8 = 0. Suppose 0 = -n*d + 5*t + 31, 2*d - 1 = -2*t + t. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 30*f**3 + 4*f**2 - f - 3. Let p be h(3). Suppose 0 = k - 3*z - 4865 + 1172, 3*k + 4*z = 11131. Suppose -k = -3*x - p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 8*x + 1 - 10)*(2 - 4 + 3) as y + u*x and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {u: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 15*w - 9. Let v be q(-11). Let g be (-3)\/2*v\/(-357). Sort -1\/2, g, 0.5, -4\/15.\nAnswer: -1\/2, -4\/15, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 3975*w**2 - 278880*w - 1759100.\nAnswer: -5*(w + 7)*(w + 70)*(w + 718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 8. What is u(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/9 + (1*-38)\/(369\/(-102090))?\nAnswer: 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-28))\/(2\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -175\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2121111?\nAnswer: 2121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Suppose -5*x = -a, -82*x - 5*a = -86*x. Let s(q) = -q**3 + 8*q**2 - q - 17. Let h be s(7). Solve 3*t + 5*c - h = x, -d*t + 4*c + 5 = 5*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 6 = -3*j - 8*o, 10*j = 2*o + 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 42\/127 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 o, and 1 c when three letters picked without replacement from {c: 1, k: 1, o: 1, i: 1, f: 1, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469, -928, -1381, -1828, -2269, -2704, -3133?\nAnswer: -3556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, h: 7}. What is prob of sequence kkhh?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**6\/80 - j**5\/80 - j**4\/24 + j**3\/24 + j**2\/16 - 9*j. Suppose f(l) = 0. What is l?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 1256577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**8\/140 - l**6\/90 - l**3\/2 + 7*l. Let s(i) be the second derivative of y(i). What is the third derivative of s(g) wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:05 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 2*g = 2*l - 1270, g = 3*l + 965. Let s = l + 390. What is the remainder when s is divided by 46\/(2*1) - -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-4 + 2 + 0)*(-3*b + 3*b + 17*b)*(-2 + 1 - 1) in the form p*b + h and give p.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27883400161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -2*x**7\/105 + 58*x**6\/5 - 28486*x**5\/15 - 51910*x**4 - 1602050*x**3\/3 + x**2 - 772. Factor u(d).\nAnswer: -4*(d - 179)**2*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15419952 is divided by 2921.\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*v - 6 = 0, 5*t - 42 = -v + 5*v. Let b(u) = -2*u**2 + 6*u + 2. Give b(t).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/271223436 and 151\/123283380?\nAnswer: 1356117180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -503\/4 + 119. Find the common denominator of l and 1 + 8\/(-30)*22.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d - 6. Let r be 1 - (5\/1 - -1). Is i(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 20. Let l(q) = q**3 + 3*q + 5. Let h be l(a). Let c = 129 + h. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 651?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qqqfzzffzzz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjjjppjpjpjjjpjjjj. Give prob of sequence pj.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*o - 1. Factor -69*x - 79*x + 128*x + 20 + 5*x**o.\nAnswer: 5*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*h - 968 + 2614, -o - 2*h = -332. Suppose -11*a + 190 + 195 = 0. Differentiate a*j**4 - 330*j**2 + o*j**2 + 4 wrt j.\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2, -3*o + o + 13 = -5*p. Suppose -o*f = f + 15. What is the least common multiple of 9 and f\/(-5) - 2\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:53 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331487 is divided by 165639?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 247, 231, 219, 211, 207, 207?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -24*g + 27*g. Let z(y) = -y**3 + 6*y**2 + 9*y + 11*y**g - 12 + 41. List the prime factors of z(17).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101110 + -22012?\nAnswer: -200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -6473?\nAnswer: 1\/6473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.16. Let n = 0.04 - u. Which is the closest to 0? (a) 0.4 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -0.89. Let q = 0.08 - u. What is q rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 7) to base 12\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 15*v - 125)*(4 - 2 - 3) + (0 + 0 + 2*v)*(0 + 0 - 1).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232 - -244. Solve 30*k + v = 18*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13 + 5*o + 3 - 2. Let l(p) = 89*p + 12990. Let k be l(-146). What is n(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 297925974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.68174 to 1 decimal place.\nAnswer: -119.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8535.95018 less than -0.1?\nAnswer: -8536.05018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015771*-3.\nAnswer: -0.047313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 111. Suppose 0 = r + 5 - o. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 + 6*r**4 - 3 - 7*r**4 - 2*r**2 + 0*r**3 to the form i + a*r + p*r**4 + k*r**2 + n*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y = 0. Suppose y = 3*z - 0 + 3. Let q be (5\/(-2))\/(2\/4). Put q, z, 5 in decreasing order.\nAnswer: 5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - 1 - (3 - 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 - 78*s + 234*s - 69*s - 80*s.\nAnswer: 17*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 16. Let q(y) = -6*y + 18. Let z(h) = -4*q(h) + 5*r(h). What is z(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 9049347.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 200?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5686486.566 to the nearest 100.\nAnswer: -5686500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*t + 12 = 0, -t = 2*m - 0*t - 12. Suppose 5*g = m + 7, i = 2*g + 1. Solve 0 = -3*f + 2*c - 2, -3*c = -i*c - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665049 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 1 + sqrt(2) + -3 + -1 + (5*sqrt(1250))**2.\nAnswer: 2*sqrt(2) + 31247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87412804114.0099954 - 87412813878. Let n = k - -9764. Let c = -0.01 + n. What is c rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h - l - 8, 0 = 2*h - 2*l - 4. Let f be (-5)\/(-15) - 14\/(-3). Sort h, 3, f.\nAnswer: h, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1311, -1318, -1335, -1362, -1399, -1446, -1503?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 + 244*n - 233. Let s(p) = -36*p**2 + 1222*p - 1164. Let a = 565 + -563. Let v(f) = a*s(f) - 11*c(f). Factor v(i).\nAnswer: 5*(i - 47)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 + 403 = 5*k. Let i be (-15 - 0)*(-3 - -4). Let d = i + 40. What is the highest common factor of k and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 6. Let w be x(-10). List the prime factors of (-2)\/(-5)*(9 + w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/37 and 109\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 60 = -73*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/1944*-27*1\/(17\/(-8))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 1489 + 19*d**3 - 17*d**3 - d**2 to n*d + h*d**3 + m*d**2 + z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/177 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102239 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11461.33 + 11461. What is the second biggest value in 0, n, -13\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2 - 7))\/((-7)\/21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 8*w + 6*w)*(w**2 + 6*w**2 - 13*w**2 + (w**2 - 2*w**2 - w**2)*(4 - 2 - 1) + 0*w + 2*w**2 + 0*w) in the form x*w**3 + l*w**2 + m*w + c and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -455507\/7 - -65073. Suppose 22\/7*z**3 - 2\/7*z - 24\/7*z**2 - w*z**4 + 8\/7 = 0. Calculate z.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 5. Let j(m) = 4*m**2 + 2 + 2 + 21 - 1 + 0. Suppose 16 - 4 = -4*k. What is k*j(i) - 14*n(i)?\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2 + 1 + v - 2 + 4*v**2 + v**2. Let b be h(-1). What is the highest common factor of 15 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 232, 463, 692, 919, 1144, 1367?\n\"Answer: -m**2 + 234*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 5*z + 4. Let i be u(3). Let d(f) = f - 2*f**2 - 50 + 48 - 3*f. What is d(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14874 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4542743 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.84, 8, -1295 in descending order.\nAnswer: 8, 1.84, -1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) 8 (c) 1\/6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, -2 in descending order.\nAnswer: 17, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -592002391 or -592002392?\nAnswer: -592002391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.4. Let d = -28 + 19. Let q be d\/102*4\/(-3). Which is the second biggest value? (a) -3 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 40\/(-7)*(-413)\/118?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and ((-5600)\/12)\/20*(-2 + -7).\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/382912 and 43\/6212.\nAnswer: 594662336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (216\/30)\/(12\/(-280)). Let q = 180 + w. Solve 4*v - q = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 437, 859, 1259, 1637, 1993?\n\"Answer: -11*c**2 + 455*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*1)\/(3825\/(-1350)*14\/(-10591))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4477, -0.4, 1.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 - 13*r**2\/5 + 198*r\/5.\nAnswer: -r*(r - 9)*(r + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6 - 0)\/(2*39\/(-52)). Which is the closest to q? (a) -2\/11 (b) -0.8 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce - 14a9?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308.2 + -121.\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000422285 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(2\/7 - (-24)\/14). What is the second derivative of -660*m**2 + 11*m**q - 14*m + 660*m**2 wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 12:30 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) -10925 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -447)*(-122)\/(4\/(-2)). Suppose 3*p - 5*l - r = 0, 2*l = -0*l + 8. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22510 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 806*k + 55209 + 51256 - 16999 for k.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-eight fifths of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.83.\nAnswer: 0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13833 - -0.33396.\nAnswer: 13833.33396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 172. Solve -c*v - 20 = -28*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/22*(-176)\/56. Solve h - i = 5*z, -z = -330*h + 326*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2\/488)*53. Let i be (-240)\/122 - 0 - -2. Let y = i - x. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -351 + -751?\nAnswer: -aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*k = -0*k + 8, -3*j - 4*k = -8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223\/355 + 2\/71. Let s(k) = k**3 - 7*k**2 - 8*k + 5. Let r be s(8). What is the smallest value in 2, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 327*f - 102. Let d = -249 - -252. List the prime factors of m(d).\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -14871?\nAnswer: 14888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:03 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -105*v + 267. Calculate a(-6).\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - p + 1)*(2*p**2 - 2*p**2 - 3*p**2) + 4*p - 4*p + 2*p**3 + 4*p**3 - p**3 + p**3)*(5 - 1 - 3).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.01. Let u = -0.1 - -0.3. Let g = 1.7 - 1.9. What is the closest to l in u, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*t**2 - 1289*b*t + 2*b - 706*t**2 + t - 516757 wrt t.\nAnswer: 2*b*t - 1289*b - 1412*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1836*a = 168731 + 35065 for a.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5681 - -5681.1. Which is the nearest to 2\/5? (a) i (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13886987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z + 2*o + 35 = 0, -5 = 2*z - o. Let t(g) be the second derivative of g**4\/12 + 5*g**3\/6 - 7*g**2\/2 - 4*g. Determine t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -158 (c) -0.8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 12*u**3 - 24*u**3.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*l + 50*l - 220. Let h = 60 - l. Solve -7 = -3*u + h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {k: 1, q: 1, n: 10, a: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -861, -870, -879, -888, -897?\n\"Answer: -9*i - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(68) - (3*-1*sqrt(68) + sqrt(68))) + (sqrt(68) - (sqrt(68) + sqrt(68)*3))*3)\/(-5*sqrt(36)*1*-1))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-4) + 12\/(-16). Suppose 201 = p*s + 101. What is the remainder when 32 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -12. Let v be (-1)\/(-3) + (-4)\/y. Suppose 0 = 3*s - v*s - 11100. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092\/(-2002) + (-1)\/((-11)\/2822)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 + 3*h + 3. Let k be l(4). Suppose 5*t + 26 = -4*j - 14, 0 = -j + t - 19. Which is greater: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - 2724\/(-16). Suppose 4*p - 28 = -3*h, -2*h = -h + p - 10. Let u = h + 5. What is the highest common factor of u and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/4 + 10*l**3 - 152*l**2 + 5*l + 2723. Give u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541823 is divided by 1966?\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(-5\/7)*q)**(-1\/4) assuming q is positive.\nAnswer: q**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1414 - 1410. Which is the nearest to -1? (a) 0 (b) -5 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -2\/21 (c) -14093\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 + t + 3. Let n be l(-6). Let c = -3 - n. Suppose f - 1 = 0, 3546 = -c*u - 5*u - 4*f. What is u rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9854305 by 85.\nAnswer: -115933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*(o**(-1\/7)\/o*o)\/o)*o\/o**(-2\/25)*o)**(-2\/89))**(-1\/76) assuming o is positive.\nAnswer: o**(389\/591850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 6449?\nAnswer: -644a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (870\/6699)\/(615\/(-3444))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5631385, 5631380, 5631377, 5631376, 5631377, 5631380, 5631385?\nAnswer: 5631392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 9:47 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-4 + 11\/2). Factor w + x*w**2 - w**2 + w.\nAnswer: w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 6*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/54 and -85\/10728.\nAnswer: 32184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + 1 + -3 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190 + -188. What is the third derivative of -18*v + 6*v**2 - 14*v - 24*v**5 - 13*v**5 + 34*v + l*v**4 wrt v?\nAnswer: -2220*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 10)\/(1\/6). Let v = l + 58. What is the remainder when 87 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/20 + 5*b**3\/6 + 2*b**2 - 4*b. Let c be d(-4). Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1668*p**3 - 35184800*p**2 - 185547169364*p - 889913672.\nAnswer: -4*(p + 10547)**2*(417*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + sqrt(27)*-2 + 1 + ((sqrt(27) + sqrt(27) + sqrt(27)*3 + 4 + sqrt(27))**2 + sqrt(27) - sqrt(27)).\nAnswer: 141*sqrt(3) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - (0 + -4). Which is the third biggest value? (a) 5 (b) 0.14 (c) -2\/3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(17\/(-68)*-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.6. Suppose 8 = -40*d + 36*d. Which is the third biggest value? (a) -3 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000198315 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 5, t: 1, b: 1, i: 1, v: 1}. Give prob of sequence tv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 35069324\nAnswer: -35069324.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -424620 (base 8) in base 7?\nAnswer: -1130104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 105 = -4*i, -4*m + 3*i = -54 - 29. Solve -m = y + 4*n, -4*n = -3*y + 16 + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -37 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u**3 + 15218*u - 15218*u.\nAnswer: 31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24.3, 29.844, -4 in increasing order.\nAnswer: -24.3, -4, 29.844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1 - 1 + 3. Let f(o) = -2*o + 2. Suppose -3*v + 61*u = 60*u - 19, -50 = 5*u. What is v*f(d) - 6*p(d)?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(272) + 0 + 0 + sqrt(272) + -2) + -4.\nAnswer: -24*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 77. What are the prime factors of 102\/(-1*1*8\/p)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*y + 20, -5*y = 3*j + 5 + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4369*n - 2. Let j be p(1). Suppose 3*k + 18968 = -5*k. Let t = k - j. What is t rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10 + (-11)\/38)\/(29*198\/18183).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2 = -16. Suppose 0 = a, 5*c + x*a + 10 = 40. Suppose -c*j - 1 = -4*z - j, 0 = -3*z + 3*j. What is the smallest value in -4, -2, -1\/4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u + 4*k, -2*u + 4*k - 8 = -k. Suppose 3*t - t = 4. Suppose 0 = 4*y - y. Solve y = t*z + 5*m + 4, u = -6*z + 3*z + 4*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3345*d**2 - 6363*d**2 - 2527*d**2 + 2155*d**2.\nAnswer: -10080*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103477247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101097 and 82908?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 466*m - 3 = 463*m, -4*d - m = 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1165\/(-420)*-3 + -1 - 4. Let k = i + -25\/7. Let n be 0\/(-1) + (-4)\/(-10). Which is the second biggest value? (a) n (b) 2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = -2. Let t(l) = -16*l**3 + 25*l**2 - 5*l + 30. Let o(x) = 3*x**3 - 5*x**2 + x - 6. Let r(q) = 11*o(q) + 2*t(q). Calculate r(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-55)\/(-33))\/((-1)\/(-3)). Suppose 9*m + 3*y = 4*m - 125, m + 53 = h*y. Let u = m + 33. What is the smallest value in 0, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 2*h**2 + 3*h + 3. Let q be o(-2). Differentiate -4*r**3 + 3*r**3 + q*r**3 - 3 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.5 (c) -84 (d) 0.3 (e) -1\/9 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77449.4028ns to weeks.\nAnswer: 0.000000000128057875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/25 + (-2)\/(-10). Let p be (2 - -1 - h) + 3. Let -1\/4*y**2 + 0 + 3\/4*y**p - 1\/2*y = 0. What is y?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7110438*n*q + 152197*n + 2*q + 2 wrt q?\nAnswer: 7110438*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 - 150. Solve 0 = -22*n - 83 + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -762*c + 14. Let o be k(-4). Let y = o + -2085. Let b = y - 82. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -173*i**2 + 1943*i + 1593. What is f(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58269.24 centimeters to micrometers.\nAnswer: 582692400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -18463835.873514.\nAnswer: 18463823.873514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 5*h\/4 + 3\/2.\nAnswer: (h - 3)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 9, 2\/3, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -9538 and -9533 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191 + 187 - 380 + 13*f**3 - 3*f**3 + 10*f to the form z*f**2 + k + r*f**3 + d*f and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57540 - 5293579\/92. Let p = -8\/23 + m. Let c = 2 + -2.3. What is the second smallest value in p, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 + 3*g + 1. Let z be x(-3). Suppose n - z = 1. Differentiate u**2 + n - 3 + 2*u**2 with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3840*u = -1172*u - 29348 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 + -483.6. What is the third smallest value in 0, -7\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6*j + 126 = 0. What is the greatest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 2*52\/(-24)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -192135 or -192139?\nAnswer: -192135","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 152179.47 to the nearest 1000.\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (-1*sqrt(128) - sqrt(128))*-1)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 117 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {b: 1, k: 1, p: 2, g: 2, e: 7, v: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(17\/((-5916)\/8)*(-20)\/20).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (0 + (0 - (8 + -1)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0.3, -7.9, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/22)*i)\/(i\/(i**(-36)*i)))\/(i**(-3\/8)*i**(3\/14)) assuming i is positive.\nAnswer: i**(-20761\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o\/o**2*o)\/o))**(50\/7)*(o**2)**15)\/((o*o**5*o*o**(1\/10))\/(o**(-2\/9)\/o)**8) assuming o is positive.\nAnswer: o**(21767\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlv when three letters picked without replacement from {h: 1, z: 1, v: 4, n: 3, s: 6, l: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/63 + 48\/(-84).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 - 45*j + 24*j + 21*j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5760 and 22112?\nAnswer: 3980160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/15)*(d\/d**(-4\/9))\/d)\/(d\/d**(-7)*d\/(d**2\/d)))\/(((d*d**(-2)*d)\/d)**(9\/5)*(d**(-2))**(-1\/5)) assuming d is positive.\nAnswer: d**(-238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 + -25. Let u be c - (2 - 1)*-2. What is the greatest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15244, 30520, 45792, 61060, 76324, 91584, 106840?\n\"Answer: -2*j**2 + 15282*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12785, 1, -1388.\nAnswer: -12785, -1388, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (26 - 19) - (0 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18109*x**2 + 180942*x + 180942*x - 361884*x in the form k*x + q + b*x**2 and give b.\nAnswer: 18109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r + f + 27, -4 = r + 3*f. Let q(m) = -m**3 - 6*m**2 + 4*m - 8. Calculate q(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 206.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 1. Let g be o(-2). Let t(d) be the second derivative of d**4\/12 - d**3\/6 + d**2 + 50*d. Calculate t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-28)*(-1)\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/54508168?\nAnswer: 15\/54508168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400509246 to the power of 1\/2, to the nearest integer?\nAnswer: 37423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnepeengnigipre. Give prob of picking 1 p, 1 e, 1 n, and 1 i.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 16636?\nAnswer: -499.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -26, -3\/8, -2\/9, -5, 3, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -357 - 375 + 3357*w**3 + 732 + 4*w**3 - 2*w**3 - w**3 + w**3 + 0*w + 0*w + (-2*w**2 + w - w)*(-2*w + w + 0*w) + 3*w**2 - 3*w**2 + 2*w**3.\nAnswer: 3363*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*q. Suppose 28*h + 159 - 411 = 0. Differentiate 7 - 8*s**4 + s**q - s**2 + h with respect to s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117252 and 1944.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 335*t - 7. Let n be i(1). Let w = -160 + n. What is the greatest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374169 and 81625?\nAnswer: 46771125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88.796 + 0.08.\nAnswer: -88.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2*t - 4*t)*(2 + 2 - 5) + (-7 + 3 + 9)*(4 - t - 4 + (4 + 0 - 5)*(-1 + 1 - 2*t) + 5*t - 8*t - 2*t).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -11\/36 (c) 3 (d) 0.07 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*o - 5031 = 369*o. Calculate the remainder when o is divided by 185.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 309 - 320. Let a(u) = -62*u - 26. List the prime factors of a(f).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 907 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305514 is divided by 50917.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -476.\nAnswer: -15\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861*h - 366423176 = 469*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 - 10*i)*(-2*i + i - i)*(-i - 2*i**3 + i).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*z**3 + 8*z**3 + z**3)*(3 + 2 - 4 + 3*z + (3 + 1 - 2)*(2*z + z - 2*z)).\nAnswer: 410*z**4 + 82*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*m - 8018, 4*h + 1466 = -2*m + 9498. Suppose 0 = -b - 2*l + h, 4*l - 201 + 6202 = 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 4, e: 1, r: 1, d: 2, h: 2, g: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b4?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400 - -14?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {q: 4, z: 1, k: 1, e: 3, i: 1, d: 2}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -63.96, 14.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10986 and -5?\nAnswer: 10991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13944 or -13943?\nAnswer: -13943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-21) - 15\/9) + 5. What is the highest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, -3, 0.4, -5392?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 127*s - 6. Let i(a) = -a - 1. Let m(q) = -c(q) - 6*i(q). Suppose 48 = -5*o - o. Let d be m(o). Round d to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -426.9916 from 17755.\nAnswer: 18181.9916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-84))\/(2\/8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from nhhhvnnh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 12:01 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -w + 2*i, 2*i + 0 = -w + 10. Suppose 0 = -10*j + 8*j + w. Solve -2*h - 3*v = 3, 2*v = -v - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msemdmddmmddmmmssme. What is prob of picking 1 d, 1 s, 1 m, and 1 e?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 536775 divided by 17?\nAnswer: 31575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 309 = -837. Suppose t = 4*d + 48. Solve c = 3*u - 8*u - d, -3*u - 11 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 250*w - 13670. What are the prime factors of u(116)?\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 1159 = 95*i - 1314 - 537 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35837 is divided by 491.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197643 or 197644?\nAnswer: 197643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 - (0 + -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 13\/3 (c) 2\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 747342 = -29478. Suppose 47364 = 2*k + z. Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30133896.\nAnswer: 2, 3, 13, 59, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5*v - 5 + 12*v + v**2 to w + t*v**2 + q*v and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678826, -1357655, -2036484, -2715313, -3394142, -4072971?\nAnswer: -4751800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 + -98. Let i = a - 80. Calculate the least common multiple of i and 19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53014, -52999, -52946, -52837, -52654, -52379, -51994, -51481?\nAnswer: -50822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*l - 29*l - 40*l - 3)*(-4*l + 3*l - 2*l) + (-2*l + l + 0*l)*(2*l + 4*l - 4*l) - l + 3*l**2 + l + 3*l**2 - 2*l**2 + 0*l**2.\nAnswer: -43*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 97169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - d + 4)*(-2 - 1 + 1) + (0 - 2 + 4)*(6*d - 4*d + 3*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60320 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/14 - 20\/(-70) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -46*j**2 - 1. Let m be x(-1). Let q = m + 74. What is the greatest common divisor of 297 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = 5*n - 3*h, -45 = -5*n + 5*h. Let x = -3 - 5. Let o = x + n. 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 -0.0000010073056 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**2*x - 2306*s**2 - 259*x + 3 with respect to s.\nAnswer: -2*s*x - 4612*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435696 and 12528?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00935 and -0.038.\nAnswer: 0.0003553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w + 1\/3 + 1\/6*w**3 + 0*w**2.\nAnswer: (w - 1)**2*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 12*f**2 - 11*f + 2. Let h be o(11). Find the third derivative of -3*q**4 + 0*q**2 - 2*q**h - 3*q**4 + 10*q**4 wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 8 + 7 + -11. Solve -4*f + q*n = 36, -5*n + 33 = -5*f - 3*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -11\/2*g**2 + 0*g - 3. Let i(u) = -2*u. Determine l(i(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 2, r: 4, g: 4}. What is prob of sequence gl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 8*y**2 + 7 + y**3 - 2*y**3 + 0*y**2. List the prime factors of g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 6 - 8 + 4*g**2 + 17*g - 127*g + 37*g.\nAnswer: 4*g**2 - 61*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 + 67. Calculate the common denominator of -62\/5 and t\/60*(-43)\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 4\/3 - 16\/3*c.\nAnswer: 4*(c - 1)*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-165)\/(-2))\/(-5). Let i = 63 - g. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 1\/2*c**2 + 0*c + 9. Let o(v) = 7*v**2. What is o(y(m))?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18218739?\nAnswer: 3, 7, 11, 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.866552 litres?\nAnswer: 8866.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 + 21*w + 80. Calculate p(12).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 700 - 602. Suppose -15*o = -16*o + 245. Calculate the greatest common factor of b and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/47, 0.3, 0.09 in increasing order.\nAnswer: -2, 3\/47, 0.09, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-53 - -81 - 33).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 35*r**2 + 22*r + 35. Give c(5).\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -24. What is the highest common factor of 108 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 + 18776*o**2 + 28932736*o + 14682595200 = 0. Calculate o.\nAnswer: -1950, -1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -447.19 rounded to 0 dps?\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-988)\/104)\/(38\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.843874 millilitres in litres?\nAnswer: 0.006843874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-40) + 11\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from ugqjfvq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -690819050\/7 or -98688435?\nAnswer: -98688435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:26 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38521877 * -5\nAnswer: -192609385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -1 - (-2 + -1). Suppose -5*w = -x*w - 20. Let l = w + 8. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64226061*n + 464080092.\nAnswer: 64226061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -893\/100 - -182\/25. Let d = -7\/5 - z. What is the biggest value in 2\/13, d, 0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aro when three letters picked without replacement from rrraaor.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/4)*s\/(s*s**9*s))\/((s**(-1\/2)\/s)\/s)**(1\/10))**(-15\/8) assuming s is positive.\nAnswer: s**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 + 6*z**2 - 35*z + 2. Let c(x) = -5*x**3 - 9*x**2 + 33*x - 2. Calculate 2*c(m) + 3*d(m).\nAnswer: 5*m**3 - 39*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s = -159 - 117 - 349 - 15 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:39 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31629, -31598, -31567, -31536, -31505, -31474?\nAnswer: -31443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133.00063 - -0.00063. Sort s, -1, -46 in increasing order.\nAnswer: s, -46, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/24 - 5*x**4\/24 - 34*x**3\/3 - 83*x**2. Find the first derivative of b(i) wrt i.\nAnswer: 15*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534.5525 rounded to the nearest integer?\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*w, 2*w - 3*w = -5*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 2*i + 0*i - i + 2 - 2 + (2*i - 3 + 3)*(4 - 3 - 2).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:15 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13000954111 + 0.3.\nAnswer: 0.16999045889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8656220 rounded to the nearest 100000?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/107 (b) 2\/13 (c) 9.073 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:12 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 + 330?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5456658, -5456660, -5456662?\nAnswer: -5456664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 67. Does 30 divide 434 - ((-108)\/3)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4457 + -0.7457. Sort -1, 0.4, m, 81, -1\/5.\nAnswer: -1, m, -1\/5, 0.4, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276, -2520, -3744, -4948, -6132?\nAnswer: -7296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 801 or 797?\nAnswer: 801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:45 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 4*t**2 - 136*t - 786. Give g(-5).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53144 and 191260?\nAnswer: 34809320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i - 52*i**2 + 2*i + 59*i**2 + 12*i - 16 - 5*i to the form r*i**2 + z*i + m and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 10*i + 6180. Let w = i - -368. What is the common denominator of -49\/8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/3 + 49*a\/6 - 10.\nAnswer: -(2*a - 5)*(5*a - 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w + 4*d + 9, 2*d + 6 = -4*w. Suppose 3*g + 9 = -s, -2*s + 3*g - 8 + 26 = w. Are 3 and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + s - 1679 = 396, 2*u - 830 = -2*s. Suppose 180 = 4*i + n - u, 0 = 3*i - 3*n - 450. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2437?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-14)\/12)\/((-1192)\/7152)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -67*s - 50. List the prime factors of h(-3).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-2)\/(-18). Let i be (1\/(-4))\/(1 - 0). Let d = 111 + -115. What is the third biggest value in i, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 4*d - 6*d - 10*d to v*d + h and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/2 + 17469*g**2\/2 - 7007130*g - 7015866 = 0. What is g?\nAnswer: -1, 962, 4862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 + 6*s - 6. Let b(d) = d - 9. Let f be b(14). Let o(a) = f - 35*a + 2*a**2 + 30*a - 10*a**2. Suppose -v - 6 = -0. Determine v*o(l) - 5*c(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/98 and -97\/3836.\nAnswer: 26852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6909*o**6 - 3*o**2 + 22*o - 16?\nAnswer: -829080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.662785cm?\nAnswer: 36627850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1512332 - -23?\nAnswer: 1512355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2541.4 + 2541. Which is the nearest to 2\/7? (a) -0.5 (b) 2\/35 (c) i (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - l**2 + 2*l - 1. Suppose 0 = -4*q + 4. Let o be y(q). Which is the closest to o? (a) -2\/11 (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243455 rounded to the nearest 1000?\nAnswer: -3243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338*n - 338*n - 16*n**2)*(3 - 3 + 1)*(7 + 0 - 4).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.64, -5, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1692 and -77\/10.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 2, s: 1, u: 1, g: 2}. Give prob of picking 1 s, 2 c, and 1 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7332 + -0.4332. What is the nearest to 3 in 36, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-25))*t)\/t)\/((t**0\/t)\/t) assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdqfhdhhhfqhd. What is prob of sequence hdqd?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 57?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*b*t**4 + 43*b*t**3 - 9*b + 554*t wrt t.\nAnswer: 408*b*t**2 + 258*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 + 12 = 0. Put 3, a, -18 in descending order.\nAnswer: 3, a, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21511024?\nAnswer: 2, 31, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126350 and 572831.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 + 6 + -3 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (6 - 6 - -2) + (-5 - -4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95192 * -0.3.\nAnswer: -28557.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + -1 + sqrt(242) + sqrt(242))**2 - (((1*sqrt(242) - sqrt(242)) + -2)**2 - sqrt(242))).\nAnswer: -4865 - 715*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 10:36 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -18.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let s(c) = 21*c**3 + c**2 - 2*c + 1. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 8448 (c) 4 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 - 1. Let i be b(-2). Let a be -1*(2\/2 + -1). Suppose a = -3*v + i + 15. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 z, and 1 i when four letters picked without replacement from zkpxkixjzzjkzk?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -66, -73, -82, -93?\n\"Answer: -u**2 - 2*u - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:27 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3)\/6 + 0. Let r(n) = n**2 - 3*n - 2. Let o(d) = 0 - 1 - d**2 - d + 0*d**2. Give x*r(t) - o(t).\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*n = 45, 5*n + 2 = 4*y - 3. Let i(u) = -36401*u**2 - 6*u - 5. Let b be i(y). What is b rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410615 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/764 and -99\/28.\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 11*j**2 - 6. Let c(h) = 13*h**2 - h + 7. Calculate -5*a(k) - 4*c(k).\nAnswer: 5*k**3 + 3*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -425423773.8 plus 0?\nAnswer: -425423773.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 1427030*c**2 + 2854075*c - 1427040.\nAnswer: -5*(c - 1)**2*(c + 285408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -3 (c) -2\/503 (d) -9 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 32146b75?\nAnswer: 32146b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*i - 572 = 1423. What is the remainder when 98 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a century in months?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036182910.\nAnswer: 2, 5, 331, 615161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 + 16?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/11, 2\/9, -0.142, -3 in descending order.\nAnswer: 2\/9, -0.142, -16\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 + 4903918*k**4 - 24519558*k**3 + 44135186*k**2 - 34327360*k + 9807816 = 0. Calculate k.\nAnswer: 1, 2, 2451954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:55 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 119. Solve 0 = -3*t + q*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/6 - 263*r\/6 - 1775 = 0. What is r?\nAnswer: -213, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 1, y: 2}. What is prob of sequence yyx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5)\/(5\/25). Suppose -10 = -2*v, v = -c + j*v + 75. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/5 + 32*g**2 + 2352*g\/5 + 7488\/5.\nAnswer: -4*(g - 52)*(g + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 5*i + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b + 23. Let w(k) be the second derivative of 7*k**3\/6 - 15*k**2\/2 - k. Let p(s) = -5*r(s) - 7*w(s). Calculate p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 481*v. Let l(p) = -10*p. Let j = 5 + -11. Let z(g) = j*s(g) - 286*l(g). Let b(k) = k. What is z(b(h))?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-9 - -8 - 2) - (0 + 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 8. Let q be j(-22). Is q\/(2\/(-65)*-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*u**4 + 179*u**3 + 4*u**2 - 137*u wrt u.\nAnswer: 1200*u + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {r: 5, e: 1, d: 6, x: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1 + 5*p**2 + 1 + 7*p**2. Calculate the lowest common multiple of t(-1) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13984 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8204, -13243, -18284, -23327?\n\"Answer: -s**2 - 5036*s - 3167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 4\/3, -5.3, -3\/7?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lizliaddlialzdu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/4 + 3\/12. Suppose 2*x + x = y. Let v(q) = 3*q**2 + 2*q**3 - 3*q**x - q**3. Determine v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173867, -2347801, -3521735, -4695669, -5869603, -7043537?\nAnswer: -8217471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330302*k = -330307*k - 2*t + 164, 0 = 38*k - 4*t - 1304 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 296350 + -13.\nAnswer: 296337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/3077 + 589\/3760094. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28891 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - n + 55 = 3*v, -4*v = -n - 49. Solve -3*y - v = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154950120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 809969441668.\nAnswer: 809969441667.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*m - 366977, 0 = -5*z + m + 91447 + 275536. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.83 - 26. Let l = p + 0.27. Is -26 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -7. Let r = a - -3. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -3 + -3 + 12\/3. Let -1\/2*l**2 + v + 1\/2*l = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 1, h: 5, t: 2, o: 1, r: 3}. What is prob of sequence hyh?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**3 + 18*k - 11. Let i(v) = -2*v**3 - 3*v + 2. Determine -34*i(g) - 6*m(g).\nAnswer: 2*g**3 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1928 divide 1286193669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*s - 3 = 0, -7*s = -2*o - 9*s. Suppose 19*j - 32 = o*j. Let h = -13.14 - -0.14. Sort j, h, 4 in increasing order.\nAnswer: h, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 203*m + 7 = 201*m, 4*m - 21 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 3*z. Let g be (z\/2)\/(3\/(-8)). Let m(p) = 4*p - 13. Let q(i) = 3*i - 7. Let k(u) = 3*m(u) - 5*q(u). Let a(x) = -12*x - 15. Give g*a(f) + 15*k(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/3 - 2*w**3\/3 + 3*w**2 + 3*w. Let g be f(4). Let x = g - 36. Calculate the remainder when 52 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 - -106663056?\nAnswer: 106662653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 9308556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156945 divided by -52315.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12036466?\nAnswer: 2, 13, 457, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -332128 and -11042085.\nAnswer: -11374213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -187, -117, -47, 23?\n\"Answer: 70*f - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6146, 12094, 17876, 23498, 28966, 34286, 39464, 44506?\n\"Answer: h**3 - 89*h**2 + 6208*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116033477*c**3*i**2 + 38763*c**2*i**2 - 1523*c wrt c.\nAnswer: -696200862*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733, 2879, 6453, 11455, 17885?\nAnswer: 25743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*v - v. Suppose 8*c - 12 = v*c. Let i(t) = -12*t**3 + t**2 - 6*t - 7. Let q be i(-1). Solve l - c = 4*f, -5*f - 3*l = -2*f - q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -131, -280, -521, -884, -1399, -2096, -3005?\nAnswer: -4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 2*m - 3*j, 5*j = -7*m + 8*m - 159. Let p = -132 + m. Let a = 48 - 27. What is the highest common divisor of a and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 1004*u**3\/3 + 2840*u + 2680. What is the first derivative of p(i) wrt i?\nAnswer: 2008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let k(b) be the first derivative of 5*b**2 + 0*b**3 + 0*b - 10 + 1\/12*b**4. Let j(x) be the second derivative of k(x). What is j(t(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 1, v: 4, f: 5, u: 5, j: 1}. What is prob of sequence huvf?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 24 - (0 + -20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*l - l - 121 = 0, 4*g + 3*l = 151. Let m = 33 - g. Is (-1)\/(-2)*(m - -3) - -130 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + i - 8 + 4*i**3 + 10 - 6875*i**4 + 6850*i**4 to the form y*i**3 + k*i + m*i**4 + b + h*i**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 7*q - 2*q - 5, 0 = 5*q + 4*r - 23. Suppose q + 2 = y. Suppose -m = -w - w + 66, 5*m = y*w - 165. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13132, -26265, -39398, -52531, -65664?\nAnswer: -78797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:10 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37522000 rounded to the nearest 100000?\nAnswer: 37500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 + 1 = 0. Let x = g + -1. Suppose s + x = -0*s + r, -4*r + 17 = -3*s. Sort s, 0, -1 in descending order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368269, 368377, 368469, 368539, 368581, 368589, 368557?\nAnswer: 368479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 29 = 3*p + 17*n, -5*p + 16*n + 327 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-9 - -3) - -8) + -4 - 33.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6205.\nAnswer: 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + 3*(-325)\/(-117). Let x(j) = j - 14. Give x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:43 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.8 + 99.8. Let r = k + -143. Let l = r - -63. What is the biggest value in 2\/9, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 - 250. Let l(c) = c**2 - c. Give l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95876?\nAnswer: 2, 11, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9072 divided by 648?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 2}. Give prob of sequence rra.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 + d**2\/2 + 3*d + 1. Let h be k(-6). Solve 5*v + 13 - h = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 27*m**2 + 96*m + 24. Does 17 divide l(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 764259852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2717840\/9 or -301982?\nAnswer: -2717840\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.895382 nanometers in meters?\nAnswer: 0.000000007895382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**23*b*b*b))\/b)**39\/(b**26)**(-20) assuming b is positive.\nAnswer: b**(-572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -116. Let t = -5 + 7. Suppose -2*f - t*c = c - 219, u*f - c - 590 = 0. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2756360 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 970, 2129, 5278, 11413, 21530, 36625, 57694, 85733?\n\"Answer: 166*t**3 - t**2 + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 3*d - 5*d + 4*d.\nAnswer: -4*d - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3*(0 + 4). Let l = 13 + n. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10 - (0 - (-3 - -2))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1010394543 and -0.09?\nAnswer: 1010394543.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + -1 - sqrt(176)\/sqrt(4))**2 + 3.\nAnswer: 2*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (-16 - 24) + 24\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -307.947 - -309. Let r = -1.053 + z. Let d = -4 - -2. Sort d, r, -0.3 in descending order.\nAnswer: r, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:53 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-3)\/(-1)*(-30)\/45. Let n be (800\/120)\/(o\/(-12)). Which is bigger: n or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76*((-1740)\/(-400))\/87*(14*-5)\/(-2).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let h(k) = -4*k - 6. Let f(t) = 5*a(t) - h(t). Calculate f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/186 - -3001\/930. Let p = -59\/20 + r. Factor p*a**3 + 0 + 1\/4*a**2 - 1\/2*a.\nAnswer: a*(a - 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 2*k**3\/39 - 4*k**2\/13 + 8*k\/13 - 95. Solve d(n) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -216579 - 158066. Let l = 144929 + 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: b\"What is the jth term of 7281, 7287, 7303, 7335, 7389?\n\"Answer: j**3 - j**2 + 2*j + 7279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 603\/4 + -152. Let u be 6\/(-15) - (-84)\/10. Let s = u - 8. Do a and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -3.04. Let t = 0.06 - -5.94. Let l = t + -11. What is the closest to 0.2 in g, l, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 3, p: 13, r: 2}. Give prob of picking 3 j and 1 p.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + 6*i**2 - 1748*i - 8593. Give f(-5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -h - 4*b, 2 = h - 3*b + 9. Suppose 40 = h*r - 15. Let q = -13 + 23. What is the least common multiple of r and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 + 221. Which is the third smallest value? (a) -1\/3 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63.6044 - -0.3956. Which is greater: -2\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 12*w - 4*w in the form v*w + s and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 - 19*q**2 + 33*q + 1. Let t be a(3). Solve -13*z - j - 7 = -t*z, 0 = z + j - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m + 0 - 7 + 7 = 0. Let h(q) be the second derivative of 1\/60*q**4 + m + 20*q + 1\/15*q**3 + 1\/10*q**2. Suppose h(i) = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4*i + 0)*(0*i + 0*i - i)*(6 - 12*i**2 - 6) to c*i**2 + s + j*i**3 + o*i + q*i**4 and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/120 - k**3\/3 - k. Let i(h) be the second derivative of o(h). Determine i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*1*34. Let r be (-8)\/28 - 198\/(-7). Let x = u + r. Solve -2*j + x = 5*w, 4*j - 2*j = -2*w + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*b**2 - 2 - 4 + 0*b**2 in the form k*b + q*b**2 + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/1680 + x**6\/720 - x**5\/240 - x**4\/48 + x**3\/6 + x**2. Let t(b) be the first derivative of z(b). What is a in t(a) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 4*m**5\/5 + 27*m**4 - 1576*m**3\/3 + 1896*m**2 + 5472*m - 1564. Factor u(f).\nAnswer: 4*(f - 6)**2*(f + 1)*(f + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 4*d**2 + d**2)*(2*d**3 - 59*d**2 + 37*d**2 + 0*d**3) + (-2*d**2 - 8 + 8 + (0*d + d + 0*d)*(-d - 2*d + d))*(-3*d**3 + 5*d**3 - d**3).\nAnswer: -2*d**5 - 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 2\/13, 37, 2\/3, 2, 67 in decreasing order.\nAnswer: 91, 67, 37, 2, 2\/3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2\/2 + 97995*z\/2 + 3028235 = 0.\nAnswer: -19537, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 31*u**2 - 18*u + 70. Calculate r(31).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 15, e: 3}. What is prob of picking 2 p?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = -3*i, -3*i = -5*i. Let x(m) = 9*m + m**2 + 5 - 2 + 4 - w. What is x(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 - 143*q**2 - 1427*q\/5 - 713\/5.\nAnswer: -(q + 1)**2*(q + 713)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.26, 4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(12\/(-20) - 0). What is the biggest value in k, -3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s + 103 - 103 + 28*s. Let m(a) = a**2. Determine l(m(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/6 - 74*z**3\/3 + 1671*z**2\/2 + 17171*z\/3 + 23716\/3 = 0.\nAnswer: -4, -2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-5) + 8\/20. Suppose -1350 = -10*i + 5*i - 5*z, b*z - 807 = -3*i. What is the common denominator of 9\/22 and 2\/8 - i\/(-108)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(15\/(2025\/(-72))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73731 divided by 10533.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - q - 37 = -17*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 4\/(12 - 0). Suppose 4*v + 2*q + 106 = g, -5*v + 60 - 215 = -5*q. Let m = v + 31. What is the remainder when 8 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2329118*b = -2329069*b + 2744 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 1 + 0*m**3 - m + 3*m - m**3 - m. Let w(v) = -v**2 - 4*v - 2. Let i be w(-4). Determine t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/760 and -113\/7790.\nAnswer: 31160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 5:03 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12037, 47918, 107683, 191302, 298745, 429982, 584983?\n\"Answer: -5*j**3 + 11972*j**2 + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-805)\/(-2). Let p = 178 + a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 641120?\nAnswer: -641113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 616 + -840 + (76 - -17)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*c - 14*c + 28*c)*(-3*c**4 + 3*c**4 + 2*c**4) - 421*c**4 + 438*c**4 - 2*c**5 - 6*c**5.\nAnswer: -10*c**5 + 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*i - 10, 2*i - 5 = -8*f + 9*f. Solve 0 = p + 5*w - 1 + 6, -w = -4*p + f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2049048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -8501?\nAnswer: 8501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.96845l?\nAnswer: 7968.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239 or 241?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -1 - sqrt(931)) + (sqrt(1216)*1)**2 - ((-2 + -1*sqrt(2299) + sqrt(2299))*-4)**2.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 16*n**2 - n - 15. Let r be b(-16). Let t(g) be the first derivative of -1\/4*g**4 - g**2 - r + 0*g + g**3. Solve t(h) = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -64. Which is the biggest value? (a) n (b) -0.3 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n**5 + 0*n**6 + 11\/210*n**7 + 0*n**3 - 7\/8*n**4 + 2*n**2 + 0 + 0*n. What is the second derivative of g(s) wrt s?\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947535578 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109.13 - -110. Let m = -1196968.870081 - -1196968. Let t = m + u. Round t to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbnhhhnpvhhhih. What is prob of sequence vn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 12*x + 1. Let m be u(11). Let s = m - -23. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1123414?\nAnswer: -1123404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -37, -64, -97?\n\"Answer: -3*g**2 - 12*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + l = -13, 0 = -3*v - 2*l - 34. Let g be (v\/10)\/((-15)\/75). What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(700) + 1 + 0 + sqrt(700))**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**4 - 6*h**3 + 3*h**2 - 4*h + 33. Let i(r) = -2*r**4 + 2*r**3 - r**2 + r. Let m(g) = 2*d(g) + 6*i(g). What is the derivative of m(p) wrt p?\nAnswer: -32*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5813 - 26*d**2 + d - 3*d + 2*d + 5823 as z*d + q*d**2 + s and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 5. Let i(a) = -3*a - 4. Let n be (-3*4\/(-4) + -17)\/2 - -2. Determine n*q(l) + 6*i(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 22. Let t = 33883\/8 + -4229. What is the common denominator of t and (g\/(-60))\/(8\/(-354))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1745 - 60 = 0. Let i = 645 + z. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 >= 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171199153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:23 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 926915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23253 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 + 199 - 3234\/(-190)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + -4ddd?\nAnswer: -4d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose -z*x + 5*x - 77 = -5*n, n - x = 9. Suppose 43 = 3*t + n. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let s(f) be the third derivative of 3*f**5\/20 + f**4\/2 - 4*f**2. Let m(o) = o**2 + o. Let l(u) = 12*m(u) - s(u). What is l(h(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 148239898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(325)*1 + 4)**2*-1 + -5.\nAnswer: -1321 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.7405 hours in days?\nAnswer: 11.6141875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 4361.\nAnswer: 65415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5065? (a) 1\/30 (b) 2\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + q + 5. Let k = -82 - -96. Suppose 3*h + r = 10, h - 39 + k = 4*r. What is the remainder when a(-3) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**(1\/17))**(-39)*(j*j*j**13*j*j*j\/j**11)**(-2\/75) assuming j is positive.\nAnswer: j**(-3877\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37\/338 - -1\/169. Let d = o - -5\/13. Which is smaller: 0.04 or d?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 163. Let o be h(41). Let w be 502005 + -1 + o + -6 + 1. Round w to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*c + 26 = 0, -3*o = 33*c - 37*c - 52 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.92 - -4. Let v = -0.18 + l. What is the closest to v in -5, -2\/23, -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.1, 4, -7281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 11*g**2 - 16*g - 6. Determine m(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 5*n**2 - 5. Give z(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144155 - -1009087\/7. Suppose 0 = -l - 2 + 7. Suppose -2*r - l*o = -6*r + 43, 3*r + 4*o - 71 = 0. Which is the closest to p? (a) -5 (b) r (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21303100 (base 4) to base 6\nAnswer: -505504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:03 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-13 + 13 + 4*i)*(2*i + 3*i - 4 + 5) in the form g + f*i**2 + w*i and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93844495 divided by 79.\nAnswer: -1187905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 - 22 - 37 + o + 19*o**2 wrt o?\nAnswer: 38*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*21*(-164 + 55680\/360).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/8)*k\/(k**(-2\/15)\/k)*k**(1\/9)*k**18 assuming k is positive.\nAnswer: k**(7243\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 4*o**3 + 4*o**3 + (0*o**2 + 2*o**2 - 4*o**2)*(2*o + 2*o - 5*o) - 2*o**3 + 3*o**3 - 2*o**3)*(o + o - o).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 669850*g**2 + 1339706*g - 669854.\nAnswer: -2*(g - 1)**2*(g + 334927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 724\/7, 2\/7, -52, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 475160686 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -50. Suppose -36 = -m*r + 49*r. What is the remainder when 37 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 11 - 14*f**2 + 10*f**2 - 3*f**3 - 2*f**2. Let n(u) = -u**3 - u**2 + 4. Let z(m) = -d(m) + 2*n(m). Determine z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 8, -2\/17, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -152175.\nAnswer: -4\/152175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4397 is divided by 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1150426021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*3.6\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 3*q**2 - 4*q - 9. What is the tens digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*z**2 + 858*z**2 - 624*z**2 - 87 - 409*z**2.\nAnswer: -877*z**2 - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 168 (b) -1102 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-8))\/((-199)\/(-1592)) - -1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k\/(k*k*k\/((k*k\/((k\/k**(-7))\/k))\/k)*k))**(1\/35)*(k**(-1\/2))**(-38\/7)\/(k**(-1\/2))**50 assuming k is positive.\nAnswer: k**(969\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2236392 to 3 decimal places.\nAnswer: -1.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 5*h**4 - 1963 + 35*h**2 + 20*h + 1993 + 45*h.\nAnswer: -5*(h - 3)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -30. Find the third derivative of 123*j**2 - 132*j**2 + 8*j**6 + 8*j**v wrt j.\nAnswer: 1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*f - 549*f - 502*f + 184*f + 146 + 124 wrt f.\nAnswer: -854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/21 - (-20)\/14. List the prime factors of (120\/18)\/(i\/9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 111 = 9*b. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 84\/(-8)) + 5\/(-2). Suppose y*r - 844 = 4*r. Is r a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/112 in -4, 5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 7*n - 4. Let w be y(6). Let d = 394.7 + -394.7. Which is the nearest to d? (a) w (b) 4 (c) 4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + -180.82?\nAnswer: -274.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 28. Let c(t) = 12*t + 1 - 10*t + 0 - g*t**2. Let d(y) = 11*y**2 - 4*y - 2. Give 7*c(u) + 4*d(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y**2 + 132*y**2 - 15*y**2)*(1 + 1 + 2) + (2*y - y - 3*y)*(-4 - 1 + 1 - 2*y).\nAnswer: 432*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m - 140169 - 384592 = 0. List the prime factors of m.\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (197\/1379)\/(2\/(-4)). Let j = -4 - -9. Which is the nearest to k? (a) j (b) -0.4 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/56, -0.0118, -0.2, -19, 0.5 in decreasing order.\nAnswer: 0.5, 1\/56, -0.0118, -0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 593402113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-152)\/26 - 2\/13. Let w be (10\/(-30))\/(1\/y). Solve -3 = -j + w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 2*x. What is the lowest common multiple of b(2) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8762220821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r. Suppose 2*v + v = -12. Let f(s) = -7*s - 3*s + 0*s - 7*s + 14*s. What is v*m(o) - 9*f(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22592, 22596, 22600?\n\"Answer: 4*t + 22588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 5*b. Let l = -14 + 19. Let h be m(l). Sort 4, -4, h in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8. Let y(r) = -5*r**3 - 2*r**2 + 1. Let d be y(-2). Let s = d - 38. Which is the second biggest value? (a) s (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -778? (a) 60 (b) -0.3 (c) 9 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**4 + m**3 - 841372*m**2 + 6233059 wrt m?\nAnswer: 12*m**3 + 3*m**2 - 1682744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y - 4*t, -4*t = 3*y - 9*t + 10. What is the smallest value in y, 27, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9)*0)\/(-3). Suppose -12 = -4*a + 4*j, -2*a + 3*j + 4 + 5 = x. Let p(z) = -3*z + a*z + 3*z - 4*z. Let v(m) = m**2. Give p(v(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -226*k**3 - 27409 + 27409 + (3*k - k + 0*k)*(3*k**2 + 5*k**2 - 5*k**2) + (5*k**3 - 2*k**3 - 2*k**3)*(-2 + 6 - 3).\nAnswer: -219*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose -j*f - 21 = -4*f. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14770.13961 + -14771. Let v = 0.86 + h. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/30 - (-2)\/5. What is the third smallest value in -1, 2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2383840 and 30?\nAnswer: 7151520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 9 = 3*b + 4*r, 4*b - 3*r - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 54 = -a + 5*j, 10 = -2*a + 2*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -17247?\nAnswer: -17242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1314 or -19709\/15?\nAnswer: -1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*h + 958, -i + 5*h = 2*i - 2874. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 - -292 - (0 + -2 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7943 or 33?\nAnswer: -7943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + 1) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12588543, -25177083, -37765623?\nAnswer: -50354163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301821823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28879.\nAnswer: 28879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -62, -67?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0909852 + -0.091. What is u rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-252) + 4\/(-14). Sort u, 3\/2, 0.5.\nAnswer: u, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w**2 + w - 3. Let b(s) = -5 - s**3 - s**3 + 7 + s. Let j be b(-1). Let c(o) = -o**3 - o**2 + o - 2. Give j*c(i) - 2*g(i).\nAnswer: -i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**17*c)**(23\/3))**(-18) assuming c is positive.\nAnswer: c**(-2622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 0*a - 9*a + 6*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -166, -195, -244, -319?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 77. Let c(b) be the third derivative of b**5\/15 - 392*b**2. What is n(c(q))?\nAnswer: 32*q**4 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/214, 2, 0.2, -33 in decreasing order.\nAnswer: 2, 0.2, 19\/214, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - q - 91 = 0, 5*a - 29*q - 15 = -34*q + 40 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 + 10*j - 3. Let g be (1 - 0)\/((-17)\/(-119)). Let a be d(g). Find the third derivative of b**6 + 6*b**6 + a*b**2 + 6*b**6 wrt b.\nAnswer: 1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/135)\/(13\/(-65)). Let u be 10\/10 + -4 + 0. Which is the biggest value? (a) 0.3 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -431, -626, -839, -1076?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -79, -122?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 94, 189, 284, 379, 474?\n\"Answer: 95*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 31*w - 2915. What is b(94)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -4*x + 3*d, -3*d + 12 = 0. What is the second derivative of 5*l**x + 9 - 2*l - 8 + 6 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383057*i**3*u**3 + 9*i**3 - 3*i**2*u**3 - i**2 + 6*i*u - 2*u + 527 wrt u.\nAnswer: 2298342*i**3*u - 18*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3 + (0 - 1)*-6 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/51 - 11\/255. Let i = -0.42 - -0.52. Which is the nearest to i? (a) r (b) 0.17 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-44) + ((-161)\/(-77) + -8)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.7 - -15.4. Let s = 56.7 - 54. Let r = s - c. What is the third biggest value in r, 0.3, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4691 - 4699 = 0, 2 = 5*m + 2*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 10*b**2 + 6*b**2 to the form y*b**2 + p + d*b and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d - 32. Suppose -d*q = -17 + 7. Which is the biggest value? (a) q (b) -3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15524, 31062, 46600, 62138?\n\"Answer: 15538*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33602502 divided by 6\nAnswer: 5600417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183485665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.164 - -3.42. Let h = 2.23 - w. Round h to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.25037ug?\nAnswer: 0.00000000000125037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1651*z - 1 + 1650*z + 3.\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 1, w: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose 3*g - 73 = 2*g. Let q = g - 72. Put -4, t, q in decreasing order.\nAnswer: q, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51455 + 2?\nAnswer: 51460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -28, -15 in descending order.\nAnswer: 21, -15, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5*10\/25)\/1. Suppose 210 = r*c - 788. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/29)*r*r**(-3)*r)**(-8))**(-11\/7) assuming r is positive.\nAnswer: r**(-2376\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1421458.\nAnswer: 710729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-968)\/(-2541)*(-4)\/(-24)*9. Which is the nearest to 0? (a) -1\/2 (b) -33 (c) w (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.733 + 7.383. What is the second smallest value in o, 5\/2, 18?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5, -2*s - 2*s + 3*j + 23 = 0. Suppose -14 + 44 = s*m. Calculate the remainder when 28 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106397415379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnxnynmmyrnnn. What is prob of picking 1 x and 1 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25763*x + 2678 = -25866*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d + 5*l - 11, 0 = 4*d + 4*l - 16. What is the lowest common multiple of 15 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 11 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 163 = 91. Calculate the least common multiple of 6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**3 - 2*s**3 + 373*s - 9*s**3 - 92*s - 3*s**2 in the form u*s**3 + w + g*s**2 + q*s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(2 - -2)*((-117)\/2665)\/(-9). Which is the third biggest value? (a) 1\/10 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76832324 * 1\nAnswer: -76832324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*b - 4*b. Suppose -q = -3*q + b. Solve -m + 2*m + q = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14513593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -7818725?\nAnswer: -7818725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1169.1219 minutes?\nAnswer: 19.485365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2 - 81*z - 150 = 0.\nAnswer: -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 7 + (-4 - -1). Suppose -175 = -s*y - 2*y. Suppose 3*l + 27 = 4*k, -4*k - k = -4*l - y. Is -5 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1410.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -199 - 200 + 399 - 30*n in the form m*n + s and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1122\/7 + -140166\/875. Let m = -841\/2250 + k. What is the common denominator of 25\/24 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 26*s - 245. Let l(w) = 77*w - 657. Give -3*l(q) + 8*x(q).\nAnswer: -23*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 + 276. Let h = -98 + y. Solve o = -h*i + 6*o - 33, 15 = 3*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -288975249?\nAnswer: -288975253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8896.982g?\nAnswer: 8.896982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 14 - 38 = -4*i, -5*i + 20 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) -6\/11 (d) -446\/7 (e) 21.73 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccco. What is prob of sequence co?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 - y**5\/15 + 7*y**4\/24 - 2*y**3\/3 - y**2. Let r = -637 + 642. Does 14 divide u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 11 - 5*w**2 + 8*w**2 + 1 as h + i*w**2 + k*w and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**5 + 1295*g**4 - 84495*g**3 + 83205*g**2 = 0.\nAnswer: 0, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108572111 rounded to the nearest one million?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24 + 9 + (-234)\/27?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*q - 301*q + 600*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 - 7*w**3 + 267*w**2\/4 - 261*w + 351.\nAnswer: (w - 13)*(w - 6)**2*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 16551*a - 91311867.\nAnswer: -3*(a - 11034)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 21*x + 12. Let a be h(-7). Let t be 32\/(-112)*(70\/a)\/(-5). Factor -2\/3 - t*r**2 - r.\nAnswer: -(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7685 and 5470130.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**3 - 27*v**2 - 9*v + 61. Let w be p(19). Let z = w - 86103. Round z to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.79 - -0.99. Suppose -2*h + 4*h + 40 = 0. Let j be (-2)\/(-3) - h\/(-3). Which is the smallest value? (a) 1\/2 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 32. What is the smallest common multiple of 5 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 6, s: 1, w: 4, f: 2, z: 2}. Give prob of sequence rsz.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -65008240 divided by -5456?\nAnswer: 11915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 6*w + 0*w + 0*w to the form i*w + n and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 50 = -2*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/8*-1*-6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 9, 5223*u + 2*x = 5219*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 8) in base 5?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let z(f) = -5*f**2. Let s(m) = -m**2 + 4*m + 6. Let k be s(6). Let l(n) = n**2. Let h(y) = k*z(y) - 33*l(y). Give h(a(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -2*s. Suppose s = 2*l, 5*a - 9 = -3*l + 9. Let q = 0.071 + 0.129. Put a, 12, q in descending order.\nAnswer: 12, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1072 by -134.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-557535)\/(-21) + (-72)\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3893758, -7787521, -11681284, -15575047, -19468810?\nAnswer: -23362573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 19}. What is prob of picking 1 m and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1638, -37\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {h: 1, i: 2, m: 1, l: 2, n: 1, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -49245.\nAnswer: -24622.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1617034 and -83\/20?\nAnswer: 16170340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/111 or -1?\nAnswer: 31\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 16276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -844901 to the nearest 1000.\nAnswer: -845000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1187420 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olgoolglololl. What is prob of sequence lol?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35092.\nAnswer: 2, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 27 - 2. Suppose -20*b = -s*b + 545. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/201 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219565283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8567115 to the power of 1\/2, to the nearest integer?\nAnswer: 2927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -533998, -2, -3, -4 in ascending order.\nAnswer: -533998, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9896531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2795430188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/4)*(w**(-35)*w)\/w*w**(-22\/9)*w**(-4\/23) assuming w is positive.\nAnswer: w**(-31769\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 9 - 30. Let g = f + -61. Let v = -32 - g. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/(28\/55). Let p = n + 113\/126. Let h = 0.3 - 0.1. What is the biggest value in -3, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlllzz. What is prob of sequence zlz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 3, 945, 203, 0, -5.\nAnswer: -5, -3, 0, 3, 5, 203, 945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 178612840361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from xoooxxoooxxo.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 2102\nAnswer: 109\/2102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*5\/(-48) + (-1)\/(-4). Let p(g) be the third derivative of 0*g + u*g**4 + 0*g**5 + 2*g**2 + 0 - 1\/120*g**6 + 0*g**3. Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717572 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2503b - -51?\nAnswer: -24fea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7*-1283333.\nAnswer: -6031665.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, d: 2}. What is prob of sequence ndn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14819038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010748 to seven decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/2)*i\/(i**(-2)*i) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -122. Find the second derivative of -54*a**3 + 2*a + 38*a + f*a**3 + a**2 - 65*a**3 wrt a.\nAnswer: -588*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231567.05 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p**3 + 11*p**2 - 11*p - 9. Let u(j) = 6*j**3 - 4*j**2 + 543*j - 273*j - 266*j - 4 + 7. What is 4*b(v) + 11*u(v)?\nAnswer: -2*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/564 and 89\/28314.\nAnswer: 2661516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2367242, -4734415, -7101588, -9468761, -11835934?\nAnswer: -14203107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10059, -22025, -33991?\n\"Answer: -11966*c + 1907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -3\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16639 - 30173 = -2*l. Suppose -14*i = -109468 - l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2082\/(-21) + -1 - 1. Let h = -85 + -16. Let c = y - h. Sort -0.3, -1\/5, c.\nAnswer: -0.3, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -9. Solve 6*k - k + x = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let i = 1 + w. Let m be (10*-2)\/(-4) + (-14)\/7. Sort m, -0.3, i in decreasing order.\nAnswer: m, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1133 + 1152.18. Let p = n + -19. Let v = -0.17999984 + p. Round v to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-9.3.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 + 18*x - 24 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*k = 3*y - 214*k + 36, 0 = 9*y + k + 2 + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0. Let l = 3530\/11 + -321. Which is the nearest to 1? (a) y (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/5*((-15)\/100*-4)\/((-700)\/(-7500))?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*v - 7*v. Suppose 2*o - 28 = -4*y + 7*o, -v*o = 0. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*h = -67*h + 37290. Is h equal to -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-608)\/95).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 18, v: 2}. Give prob of sequence aaav.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 171\/190*8\/18\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 5. Let a be j(-5). Suppose -4*k = k - 15. Suppose k*z - 5*b - 24 = a, 0 = 3*z - 0*z + 5*b - 54. What is the greatest common factor of 39 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-6)*(-33)\/(-2) is divided by (-16)\/1*9\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y - 3. Let a be x(2). Suppose 0 = 5*i + 4*m - 45, 45 = -14*i + 19*i - 3*m. Solve -a*o = -i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose -2*j + 1050*w = 1046*w - 14, 0 = 5*w + 15. Solve i = -2*p + 5 - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 26 + 2. Let f = 22 + -10. Calculate the highest common divisor of f and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 8*i**2 + 8*i + 2. Let y(v) = v**3 + 7*v**2 + 7*v + 3. Let w = 61 + -66. Let l = -2 - w. Let q(x) = l*y(x) - 2*o(x). Give q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**2 + f**2)*(-3*f - 2*f + 9*f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from {x: 9, g: 10}?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1508, -4760, -13592, -30794, -59156?\n\"Answer: -465*n**3 + 3*n - 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303649646?\nAnswer: 2, 977, 155399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 74722569*l + 74722569*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254.64962 rounded to one dp?\nAnswer: 1254.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 3*f**2 - 11*f**2 - f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -579*k + 1733. Give t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1157, -872, -585, -296, -5, 288?\n\"Answer: y**2 + 282*y - 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**6\/48 + n**5\/6 - 25*n**4\/48 + 5*n**3\/6 + 120*n**2. Suppose r(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151617 (base 9) in base 5?\nAnswer: -10434320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26092*i**3 + 12 + 4 + 26091*i**3.\nAnswer: -i**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.43, -0.2, 22, 2\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, h: 2}. Give prob of sequence iiii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*-1*sqrt(104) + sqrt(104) - -2*-1*sqrt(104))\/(sqrt(24)\/(sqrt(12)\/(sqrt(8)\/sqrt(2)))))**2.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 973.9865mm in nanometers?\nAnswer: 973986500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r - 12 = -80*r. Let d = -18 - -12. Let c(a) = -a**2 - 7*a - 2. Let b be c(d). Solve -b + r = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*v - 14, 4*l - 2*v + 8 = 5*l. Let h be -1 + (-2 - -1) + 22. Suppose 5*o + l*r + 18 = 118, h = o + 2*r. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 956415, 0.3, -3, -0.3, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32 (b) -15\/13 (c) -1 (d) -0.43 (e) 4 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vscssvsvjuji.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = -r - 30. Let b(n) = -27*n. Let k(o) = 539*o. What is r*k(t) - 119*b(t)?\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 u when four letters picked without replacement from {u: 3, p: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1503\/7 + (-10 - (-144)\/14). Suppose z - 1855 = 5*b. Is b equal to -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460815 and 3720.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27355048 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 1487*f**2 - 5950*f**2 + 1487*f**2 + 1488*f**2 + 1488*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:00 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/8 + 17\/(136\/30954)?\nAnswer: 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -30)*1*(-22)\/(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/10 + n**4\/24 - n**3\/2 - 13*n**2\/2 - 8*n. Let c(b) be the first derivative of y(b). Is c(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2678817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 373.9 + -373.899997162. Round s to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**3 - 5*s**2 - 23*s + 3. Let w(p) = -4*p**3 - 3*p**2 - 12*p + 1. What is 3*r(y) - 5*w(y)?\nAnswer: -4*y**3 - 9*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1944811 and -58\/161?\nAnswer: 13613677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -10016\nAnswer: 100.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086679 rounded to four decimal places?\nAnswer: 0.0867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.333 times 1964.6?\nAnswer: -654.2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1131*f**2*l**3*x**3 + 2*f**2*l*x**3 - 41391*f**2 + 21*f*l**3 - 2*l*x**3 wrt l?\nAnswer: -6786*f**2*l*x**3 + 126*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 32 + 258*g - 281*g + 43. Let i(w) = -2*w**2. What is r(i(b))?\nAnswer: 46*b**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 7. Let w(b) = -b + 1. Give j(c) + 4*w(c).\nAnswer: -c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbpbpptpbptptb. What is prob of sequence tp?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(900)*-2)\/(sqrt(588) - sqrt(588)*5*1).\nAnswer: 5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 979*v**2 - 9*v + 28. Let s be f(13). Suppose -3*p + 16523 = -27391. Let j = s + p. What is j rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzm when three letters picked without replacement from {z: 1, n: 4, m: 2, t: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1053 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.78 - 9.6. Let j = c + 3.82. What is the third smallest value in j, 2, -5\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 + 371 + 4243 = -240*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 394 = -5*o - 40, -2*n - 63 = -o. Calculate the least common multiple of 10 and o\/6 + (-2)\/4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 70*u**2 + 58*u - 191. What is k(23)?\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.27369 from 2621535.\nAnswer: 2621534.72631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -1. Let y(p) = -12*p - 10. What is the units digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -178b - 15?\nAnswer: -17a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -25, f - 2*f - 127 = -4*c. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -47*p - 5. What is the tens digit of w(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5152*o + 328 = 5144*o. Is o < -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmmjmjpmmj. What is prob of sequence jmmj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -9*u + 21 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1584067464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17234 (base 16) in base 6?\nAnswer: -2010432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8493 and 60498321?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*g - 15. Does g = -44\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000918133 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4687 and 30411?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/5)\/v*v)\/v*v)**(-2\/73))**(19\/5) assuming v is positive.\nAnswer: v**(-266\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 8 = 0. Let o be (36\/i)\/9*(-4)\/(-3). Suppose -2\/3*v + o*v**5 - 4\/3*v**4 + 0 + 4\/3*v**2 + 0*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1234969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352134 = 546*m + 367968 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:46 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6978*d**2 + 17818 + 17826 - 35644 + 26307*d**2 to k*d + t*d**2 + r and give t.\nAnswer: 19329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*a + 23, -9*a + 2 = -11*a. Factor 4*s**o - 4*s**4 + 7128*s + 16*s**2 - 16*s**3 - 7128*s.\nAnswer: 4*s**2*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*z + 67*z = -405 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*v - 28 = -703*v - 5*a + 2, 141 = -v + 16*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z**3 + 2653*z**2 - 2853*z + 2236. Give m(203).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c - 2. Suppose -5*v = -4 + 14. Calculate the remainder when j(v) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1331)*-1 + ((sqrt(1331) - (sqrt(1331) + (sqrt(1331) + sqrt(1331) + 2 - sqrt(1331))))*6)**2 - (-4*(sqrt(1331) + 2 + sqrt(1331) + 4))**2)*6.\nAnswer: -226170 - 15906*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -354*i**4 + 50*i**3 + 30439*i.\nAnswer: -4248*i**2 + 300*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7612951 millimeters?\nAnswer: 0.0000007612951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p. Let o(d) = -15*d + 93. Let b be o(6). Let x(z) be the third derivative of 0*z**b + 1\/12*z**4 + 0*z - 7*z**2 + 0. Calculate s(x(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52286327 divided by -2.\nAnswer: 52286327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u**2 + 0*u + 3\/4*u**4 - 7\/3*u**3 - 17. Find the third derivative of l(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136195 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - 16)\/(16\/6 + -2). Let h = m + 63. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 2*l, 0 = -2*r + 5*l + 11. Suppose 5*m - 2*b = 30 + 8, 2*m - 4*b - 28 = 0. Let h(z) = z + m*z**2 + 8*z - 7*z + 1 - 7*z**2. Calculate h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*h - 2*h - 4, -m = h - 3. Let t(a) = a**3 + 8*a**2 - 8*a + 12. Calculate the lowest common multiple of t(-9) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -6, 1 in descending order.\nAnswer: 5, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30013 + -120043?\nAnswer: -40030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 - 73*l**2 - 23*l + 4 wrt l?\nAnswer: 6*l - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 367998, 365344, 362690, 360036?\n\"Answer: -2654*w + 370652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 61*p**2 - 14*p + 25. Does 4 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 6*p**2 - 2*p - 9. Let m be a(-6). What is the closest to 0 in -2\/5, 5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75859913.\nAnswer: 19, 3992627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4423 - 2882. Calculate the highest common factor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426 and 30?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 56 + 3*o**2)*(2 + o - 2).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7732067 is divided by 31303.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**4\/12 - 7*i**3\/6 - i**2. Let v = -19 + 12. What is the units digit of u(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02015517 and -148.29.\nAnswer: -148.26984483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5771064l in millilitres?\nAnswer: 577.1064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1010 (b) 20 (c) 4 (d) -10 (e) -8 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 109*k**2 - 2301*k - 54. Calculate v(21).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g - 224 = -114*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2229869, 2229878, 2229895, 2229920, 2229953, 2229994?\n\"Answer: 4*a**2 - 3*a + 2229868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10029 + 10033. Calculate the highest common divisor of 1228 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 (base 8) in base 6?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 41*h = -46*h + 1162, 0 = m + h - 291. Let v = 302 - m. Suppose 4*r - 113 = 187. Calculate the least common multiple of v and r.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 14127928262.\nAnswer: 14127928252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*6\/72*2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 38177.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 21 = -53*i + 48*i, -i = -2*k + 20. Solve 5*c + 5*j - 20 = 0, 14*c - 5*j - 12 = k*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*z**2 - 3*z + 0*z + 3*z.\nAnswer: -335*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 4*l + 1. Let q be n(4). Suppose 3*m = q + 4. Solve m = -g + 3*r, -2*g - r = -2*r - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1585557 or -1585554?\nAnswer: -1585557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j**4 - 3*j**3 - 3*j**2 - 3. Let x(i) = -i**4 + i**3 - i**2 + 1. Let w(f) = -2*h(f) - 6*x(f). What is the third derivative of w(n) wrt n?\nAnswer: -576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1635224815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -25. Let i = -17 + z. What is the lowest common multiple of (-4)\/12*(-1 + -23) and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-71.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*2)\/(-1*sqrt(1210)).\nAnswer: -6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:11 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -260282550.\nAnswer: 260282554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**6\/1440 + c**5\/160 - c**4\/48 + 2*c**3\/3 + 2. Let b(h) be the third derivative of y(h). Factor b(q).\nAnswer: -(q - 2)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87541 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/7 + (-90)\/35. Suppose 0 = 2*r - 3*r - 4. Suppose -n + 4*h = 19, -2 = 2*n + 4*h - 3*h. Sort n, r, g.\nAnswer: r, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991 = -7*c - 248. Let d = c - -188. Calculate the remainder when 21 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/26 - (-8 + (986\/(-4))\/(78637\/(-2530))).\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7333 (base 8) to base 10\nAnswer: -3803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 68*m - 6. Let q be y(-9). Let g = 1111 + q. Suppose -9*p = -g - 110. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1095040 by -2320.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-336)\/(-10) - 2). Let r = 32 + k. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -989*c**2 - 352*c - 3047253?\nAnswer: -1978*c - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22211 divided by -13?\nAnswer: -22211\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 4*h + 3*h)*((0 + 0 + 2*h)*(-h - 1 + 1) + 20*h - 9*h**2 - 20*h) - 12*h**3 - 20*h**3 + 20*h**3 as y*h**3 + g*h**2 + r*h + d and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmwaml. What is prob of sequence maml?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**3\/6 - 84*a - 55. Let g(z) = 7 - 7 - 9*z**2. Give g(v(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 9*u - 10. Let m(b) = -3*b**2 - 2*b. Let h be m(-2). Let j be r(h). Sort 3, j, -5.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91*1*(7 + -10)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 + 2 = g, 5*g = 5*j + 15. Let u be g + -3 - (-34)\/(-38). Which is the closest to -3? (a) -1\/4 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/900 - t**5\/100 - t**4\/15 - 3*t**3\/2 + 10*t**2. Let n(o) be the first derivative of s(o). Factor n(j).\nAnswer: 2*(j - 4)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12532116 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -0*i - 5*i. Let g be ((-18)\/(-28))\/(42\/i). Put 1\/5, 2, g in descending order.\nAnswer: 2, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203746468 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + -2. Let b = -0.3 + t. Let r(g) = -g**2 + 63*g - 390. Let h be r(7). Sort b, -5, h in decreasing order.\nAnswer: h, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57289752 is divided by 4774146.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015486062519 to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 28 = 4*k, 5 = 5*y - 3*k - 6. Suppose 2*b + 9 - 37 = 4*o, -3*o - 26 = -y*b. Let i = 15 + o. What is the greatest common divisor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3419 + 4242. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44251 + 2531121?\nAnswer: 3015412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {t: 3, g: 1, u: 2, n: 10}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = -5*w. Let g be 20\/8 - w\/4. Suppose -5*l = -g*l - 147. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -204130?\nAnswer: -204134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1485 - 3827 = -359*l + 791 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4698191 and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 7*a**5\/30 - 19*a**4\/18 + 8*a**3\/9 + 4*a**2\/3 + 6*a. Factor s(b).\nAnswer: 2*(b - 2)*(b - 1)*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26202*p**4 - 26202*p**4 - 723*p**5 + (p**3 - 2*p**3 - p**3)*(-3*p + 2 - 2)*(-p + 6*p - 3*p).\nAnswer: -711*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 0*c + 3 - c**2 - 3*c + 2*c**2. Let d(i) = i**3 + 4*i**2 - i + 3. Let a be d(-4). Is 28 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z - 1848 = -5*z. Which is bigger: -2\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 20 + 52. Suppose -30 = -3*k + 3*a, 36 = m*k - 2*a + 6. Solve 3*r - 5*l + 2 = -9, -k*r + 23 = 2*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148538?\nAnswer: 2, 13, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2764379?\nAnswer: 509, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -858.71 + 860. Let x = -1.293684 + n. What is x rounded to 4 dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**4 - 19*d**2 + 0*d**3 + 1\/30*d**5 + 0*d + 0. Let g(m) be the second derivative of -m**3 + m. Calculate i(g(w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4263108090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2722 + 2719 - 5443 + 17*m.\nAnswer: 17*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 1, q: 3, y: 1, p: 6}. What is prob of picking 1 x, 1 q, and 1 d?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108719 and 507.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 33 + 53 + -27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + 1 - -2. Let i = m - 8. Let y = 1\/18 + -5\/9. What is the closest to y in i, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-16) + 1122\/44. Suppose 2*j = -2*c + 22, -2*j = c + 2*j - 2. What is the derivative of 5*o**4 + c - 21 - v - 4*o**4 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(98) + 0 + 0)**2 + -5 + (sqrt(98) + 2)**2*-3 + sqrt(98).\nAnswer: -213 - 77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 2 + f**3 - f**3 + f**3 + 6*f to u*f + h + a*f**3 + i*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-4) - 2) + (-2530)\/(-10152). Let s = 102791\/2538 + d. Find the common denominator of s and (-1 + 234\/44)\/(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70875 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-120) - (-146)\/(-24). Let a(c) = c**3 + 5*c**2 - 3*c - 1. Determine a(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/4*(-5)\/(-15). Which is the biggest value? (a) v (b) 2\/5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/7 (b) -0.1 (c) 2\/7 (d) -14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 4*u + 4. Let n = 6 - 10. Let r be (-2 - -8)*-1 - 4. Let l be (n\/r)\/((-3)\/15). Let x(i) = -4*i**2 - 5*i + 5. Give l*x(w) + 3*m(w).\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 18*a**2 + 16*a + 10. Let b be k(-19). Let g = 70 - b. Let o(p) = 2 - 2*p - 6 + 4*p. Give o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*u**2 - 60685*u + 115169.\nAnswer: 14*u - 60685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 7) to base 13.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -3 - (30 + -29). Suppose 0 = -3*q - 2*f + 2431, -2*q + 331 + 1287 = r*f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 14*k**2 + 3*k + 469. Let t be j(16). Put 1, 25, -3, t in descending order.\nAnswer: 25, t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.83295 + -4.253. Let s = 0.0969 + -0.6769. Let b = w + s. What is b rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1717084, -3434481, -5151888, -6869311, -8586756?\nAnswer: -10304229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(20\/336))\/(2\/4). Suppose -b = 20*v - 27*v. Let x = -54 - -114. Calculate the remainder when x is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*n - 25, -2*n + 14 = 5*l - 11. Let z = -4 + 3. Let p = z + l. Solve 0 = 5*y + p*k + 11, -5*k + 1 + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3077 (b) 5 (c) -2 (d) 167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 4*i - 1. Let p(v) = -v**2 + 3*v. Let k be p(2). Suppose -3*s + k = -s - 4*u, 2*s - 2*u - 4 = 0. What are the prime factors of f(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let w be u(-2). Let c = 13 - w. Solve 4*x - c = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*x**3 + 29*x**3 + 47*x**3 + 34*x**3 + 45*x**3.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(8*36\/160) and -95\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48392 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: What is the remainder when 4249879 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from {m: 2, l: 1, j: 6, z: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3439690.\nAnswer: 2, 5, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 17*h - 86. Let n be o(4). Let b be 2264996 - n - (-11 + 9). Round b to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n)*(59 - 88 + 53) - 1 + 1 + n - n - 3*n + 2*n.\nAnswer: -49*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 198\/3993*-11 - (7 - ((-238714)\/(-16401) + -7))\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 7*h = 42*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001010011101010 (base 2) to base 8.\nAnswer: 1512352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 13 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292) + 0 + -2*sqrt(52) + 2)**2 + (-4 + (sqrt(13) - (sqrt(1300) + 1 + sqrt(1300)) - (sqrt(468) - (sqrt(468) + -2))))**2.\nAnswer: 338*sqrt(13) + 8958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301 - 23964*l + 301.\nAnswer: -23964*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 2 - 20*o - 18*o to the form t + b*o and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23\/141 (b) -11\/3 (c) -2\/7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/513 and 32\/105?\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -6 - (2 + -19). Suppose 3*p = -n + 10057, -5*p = z*n - 23*n + 40262. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/(-12)*(-4)\/30)\/((-220)\/(-88)). Let v be 1 + ((-2)\/6 - 0). What is the nearest to 0 in p, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 49*m**2 + 110*m - 583. What is n(51)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 407\/812 - 1\/812. Let q(r) = -r. Let u be q(-3). Find l, given that 1\/2*l**5 + 3*l**u + o*l + 0 - 2*l**4 - 2*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nmmnnwfwnmmnnwmnmmff?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2422222 + 222?\nAnswer: 2422444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0083631 to four dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -60. Let s be a + 3 + -2 - -1. Let w(u) = u**3 - 3*u**2 - 6*u + 3. Let c be w(4). Put c, -3, s in decreasing order.\nAnswer: s, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1655 + -1121. Let q be k\/(-40) + (-12)\/(-20). Let n = 12 + q. What is the smallest value in -1\/7, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*j + 23 + 13, -j + 13 = 2*m. What is the least common multiple of j and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 + 979. Is 613 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 2. Let i be v(-2). Suppose -h = 2, -5*t + i*h + 72 = -h. Calculate the highest common factor of t and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171 or 90917?\nAnswer: 90917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*1*-3)\/sqrt(7).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 8*y**2 + 5*y**2 + y**3 + y**2 + 1. Let u(p) = 3*p**3 + 15*p**2 + 3*p - 3. Let k(h) = -6*m(h) + u(h). Factor k(d).\nAnswer: -3*(d - 3)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(277178\/(-5544) + 50).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277 - -305. What is the least common multiple of 6 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 2 z when four letters picked without replacement from tvgztfzii?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19614567.62 + 18.3?\nAnswer: -19614549.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 363 or -9975?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 5*g**2 - 2 + (-3 - 2*g + 3)*(g + 0 + 0) + 3*g**2 + g**2 + 0*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 465186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 10. Let i be m(5). What are the prime factors of (98 - 2) + (7 - i - 4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 11*x**2 + 15. Let i(o) = o**3 - 6*o**2 + 6*o - 3. Let d be i(4). Let z be p(d). Let w be (-3)\/(-6) - z\/18. Which is greater: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10583*n + 32710*n + 3359*n in the form f*n + c and give f.\nAnswer: 25486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-7))\/((-45)\/15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)*p)**(-32)\/((p\/(p\/(p\/(p**8*p)*p)))\/(p*p**10\/p)) assuming p is positive.\nAnswer: p**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/4 + 8953*r**2 + 1180797*r\/4 + 1610055\/2 = 0.\nAnswer: -35779, -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13387.99 litres in millilitres?\nAnswer: 13387990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (77\/(-6))\/(-11) + -1. Sort -5\/2, 3\/7, u.\nAnswer: -5\/2, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*g = 16, -2*i - 28 = -3*i - 2*g. Calculate the remainder when 51 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 17*p = 141. What is the remainder when p is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.51 - -0.01. Let c = -3 - -5. Sort o, 1\/2, c in decreasing order.\nAnswer: c, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131023\/11 + (-444)\/2442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17796*d**3 - 41365*d?\nAnswer: -106776*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/1)\/(10\/(-15)). What is the highest common factor of m and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -320*d*o - 18*d - 7*o**2 + 127 with respect to o.\nAnswer: -320*d - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -58. Let g = v - -22. Put -1, g, 1 in descending order.\nAnswer: 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.4. Let a = 7604 - 45623\/6. What is the fourth smallest value in 2, w, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 greater than 28\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42725 + 66500. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13247\/4 - 3295. Find the common denominator of 5\/(-102) + 4\/(-24)*2 and s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -40, -5, -37, -76 in descending order.\nAnswer: 0, -5, -37, -40, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 564*d - 2297 + 3516 + 4421 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 + 360*l**3 - 18282*l**2 + 299740*l - 529200 = 0 for l.\nAnswer: 2, 35, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m**(1\/6)*m*m*(m\/(((m*m*(m*m**(-1\/4))\/m*m)\/m*m)\/m))**(-43))\/((m**(-1))**(-3\/31)*m**3\/m*m*(m*m**(-2)*m*m)\/m) assuming m is positive.\nAnswer: m**(3925\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*g - 35*g**2 - 29*g**2 + 123*g**2 - 32*g**2 - 26*g**2 + 240 wrt g?\nAnswer: 2*g + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:46 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12.7009 kilograms?\nAnswer: 12700900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10261)\/155 - -23) + 40\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g. Let n(z) = -147*z + 77*z + 73*z. Let h(x) = -6*n(x) - y(x). Let o(t) = -2*t. Determine h(o(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210611.\nAnswer: 23, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18366, 36704, 55040, 73374, 91706, 110036, 128364?\nAnswer: 146690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 32*v + 13650 = 0. Suppose -18 = -m + 6. What is the remainder when (-1*(-4)\/(-10))\/((-13)\/v) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9136 less than -805760141?\nAnswer: -805751005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121824, 243641, 365444, 487227, 608984, 730709, 852396, 974039?\nAnswer: 1095632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-4))\/(-3 + 1). Suppose -d + 2*i = -4*d + 393, p = 4*d - i - 535. What are the prime factors of d?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - k - 9. Let g(b) be the second derivative of -3*b**5\/20 - b**3\/6 - 13*b**2\/2 + 9*b. Let l(v) = -5*g(v) + 7*q(v). Is l(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4 + 4)*(0 + 3 - 6)*(58 + 43*w - 58).\nAnswer: -129*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5871*a - 5815*a = -672 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.88. Let a = q - -3.8. What is the biggest value in 2\/11, a, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641020 is divided by 135?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 31*d = -44. Let y be (99\/d)\/((-3)\/4). Solve 0 = y*f - 0*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13527 (base 8) in base 16?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -g + 81 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/53)*f)*f*f\/(f\/(f\/f**(-7)*f)))\/(((f*f**19\/f)\/f)\/f**(1\/8)))**(3\/11) assuming f is positive.\nAnswer: f**(-9969\/4664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(0 - (-1)\/(-1)). Suppose -u*n + 235 = 75. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 2:02 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(32)*1.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -382 - 2*q + 380 - 3*q. Suppose 17 + 23 = -5*m. List the prime factors of l(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2068 + 2072. Let u(b) = -2*b**2 - 5*b + 4. Give u(z).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24349050?\nAnswer: 2, 3, 5, 11, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -570 + 571. Which is the closest to 1? (a) -2\/9 (b) 0.68 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 731004963 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 0.06. Let v = -0.2 - s. Let w be -1 + (0 - 3)*1. Which is the second biggest value? (a) w (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.55 + 0.45. Let s = 5 + -7. What is the closest to -1 in a, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -668 + 116. Let b = -793 - -885. Calculate the greatest common factor of l and b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84799.\nAnswer: 11, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4550 = -4*g. List the prime factors of g.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -43?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**3 - 2*u**2. Suppose 0 = -8*a - 453 - 163. Let p(c) = 266*c**3 + 77*c**2. What is a*v(x) - 2*p(x)?\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 16*j - 16*j - 22 + 22.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/12 + (-28)\/(-6). Let r(i) = 3*i + 61. Let u be r(-20). Let h be (-17 + 6)\/(-1*u). Solve -5*o - 19 = -l, k*l - o = 3*o + h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 - 71*p + 50 + 45)*(-2*p + 2*p - p)*(24 - 24 + 14*p) in the form r*p**3 + q + s*p**2 + t*p and give r.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 141, 227, 333, 465?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4 and -1\/4260.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 279, -4, 329693 in increasing order.\nAnswer: -4, 279, 329693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*h**2 - 5*h**3 - 146*h**2 + 7*h**3 - h**3 + 822*h.\nAnswer: h**3 + 7*h**2 + 822*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. Let q(r) = 30582 + 86*r - 100*r - 30580. Let j be q(d). What is the highest common divisor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 4, i: 1, p: 2, h: 2, o: 3}. What is prob of sequence ophz?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -8. Let m(u) = -u + j - 10 + 0*u - 4. Let y be m(-13). Solve s = -3 + y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 3*q - 3*q)*(-3*q - 1 + 5*q - 1) - 117*q**2 + 14293*q - 14293*q as n*q**2 + c*q + l and give n.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5493 + -5488. Let r be (-14)\/21 - (-13)\/(-3). What is the second smallest value in i, r, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*s - 3*f + 1, -3 = 3*s + 3*f. Suppose -z - 18 = -0*z + s*l, -3*l = -2*z. Calculate the smallest common multiple of 7 and -9*2*3\/z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 - -244. Let d be x\/30 - 2\/(-12). Suppose 0 = -3*q - q + 56. Solve 4*o = 5*v - d, -3*o = o + v + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 1155.\nAnswer: -43\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2)**(-21)*(s**(-7)*s)\/s**6)**(2\/5))**6 assuming s is positive.\nAnswer: s**(-648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53058, 105929, 158618, 211125, 263450, 315593?\n\"Answer: -91*x**2 + 53144*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18*3*(-100 - 4545\/(-90)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1898803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/313200 and -67\/8640.\nAnswer: 1252800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/36 and -29\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 15. Let n be x(10). Suppose -n*t + 17*t - 288 = 0. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464772 to the power of 1\/2, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + (-16)\/(-12). Find the third derivative of -3*t**2 + t**4 - 2*t**2 + 0*t**2 - i*t**2 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2, 6\/13, 109, 73, 3 in descending order.\nAnswer: 109, 73, 3, 6\/13, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140\/173 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7525\/6 or 1255?\nAnswer: 7525\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.3 (b) -4 (c) 0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660747011, -660747013, -660747015?\nAnswer: -660747017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26859 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d + 657 + 272 = 5073. What is the remainder when 891 is divided by d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 9. Determine v(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008954 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2) + (-2)\/(-2). Let o be (2\/5 + s)*10. Solve -o*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8560 and 9416.\nAnswer: 94160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12093316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lndw when four letters picked without replacement from {d: 5, w: 1, h: 6, n: 3, j: 4, l: 1}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5740906.\nAnswer: 2, 2870453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 935 - 1015 + 1950.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 7\/5 (c) 3\/5 (d) -0.16 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z - 10. Let k be m(-8). Let w(c) = c - 10. Let f be w(k). Let i = -3 - f. Solve 3*s = -4 + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -25*g**3 + 93*g**2 - 5*g - 3. Let l(j) = -13*j**3 + 47*j**2 - 3*j - 2. Let i(c) = 5*l(c) - 3*r(c). What is the third derivative of i(f) wrt f?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 4, -4 + 6 = 2*p + 2*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**4 + 5*p**3 - p**2 + p + 1. Let i(q) = 8*q**4 + 64*q**3 + 8*q**2 - 4*q - 6. Let b(j) = -i(j) + 10*n(j). Determine z so that b(z) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnsnsnnsnsnns. Give prob of picking 1 s and 3 n.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 201942 = -w, -27 = 5*s - 7. Let y = w + -112922. What is y rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164.97 or 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 2)*(-114 - 13*q + 114) - 4 + 4 + 3*q + (-2 + 1 - 1)*(-6*q + 4*q + 3*q))*(2 - 3 + 2) to c + k*q and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29883.61ml in litres?\nAnswer: 29.88361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -4, 5 in ascending order.\nAnswer: -4, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*p - 1209 = -246*p - 4227 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 greater than -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28\/13 + 166\/65. Is q equal to 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3534454 is divided by 78540.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (8 - -5) + -23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 2*k + g + 261, -5*g = -2*k - 99. Let o be -548*(-6)\/(-66) - 2\/11. Let r = k - o. Sort 0, 4, 3, r.\nAnswer: r, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and 23\/((-3)\/(24\/(-20))).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 45193*m + 1581751. What is i(-35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 16) in base 11?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 13.3. Let r = -2 - t. Which is the smallest value? (a) -1\/2 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*n + 34. List the prime factors of (-9 + (10 - n))*(1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -76, -99, -112, -115?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 + 43 - 126 - 27*w + 42 to n + q*w and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 7*i + 18. What is the units digit of i\/81 - (14848\/(-36))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000625 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.27 + 18. Let x = 0.47 + l. Which is the nearest to -2? (a) x (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 7:20 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 14*h**2 - 14*h + 24. Let z be d(-12). Let f be z\/8*(2 + (-14)\/(-4)). What is the greatest common factor of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 802*l + 73. What is the units digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(2\/91))**(2\/57)*k**(2\/3)*k*k**(-2\/15)*k*k**(-2)*(k*k*(k*k*k*k*k**(-2\/9))\/k*k)\/k assuming k is positive.\nAnswer: k**(413111\/77805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 148\/18 + (-1 - (-28)\/36). Find the second derivative of -2*l**3 + 10*l**3 + 24*l + v*l wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uammoad. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.758 - -6.258. Let p = -14\/3 + 92\/21. What is the nearest to -2 in p, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/4 + 87*r**2\/4 = 0. What is r?\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/5, -4, 0.03, -0.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(6 - 4 - 3)*(-314*c + 1750*c + 441*c).\nAnswer: -3754*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10891 = 4*r + l, -497 = -r - 5*l + 2221. What are the prime factors of r?\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j + 2*j + 0*j)*(j**2 + j**4 - j**2) + j**5 - j + j + 7*j**4 - 9*j**4 - 3*j**5 + 5*j**5 + (3*j**4 + 0*j**4 - 5*j**4)*(0*j - 2*j + j).\nAnswer: -j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m - 14. Let t(s) = 15*s - 26. Let c(l) = 5*q(l) - 3*t(l). Let k(r) = -r + 1. Determine c(d) - 3*k(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1 + (-1 + 1 + 1)*(-3 + 4 - 3) + (1 - 24 + 1)*(-1 - 1 - 1))*(3 - 2*i - 3).\nAnswer: -134*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 343705.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 4. Let f be i(13). Suppose f*v - 8*v - 7 = 0. Suppose 3*k - v = -13. Let h(u) = 5*u + 1. Give h(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -5 - (5 + -6 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jubywwn. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f - 1. Let i(c) = 10*c**2 - 13*c - 9. Let z(q) = 2*i(q) - 18*w(q). Solve z(k) = 0 for k.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 584577, 584714, 585079, 585786, 586949?\n\"Answer: 19*a**3 + 4*a + 584554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49956 and 27332.\nAnswer: 341349348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 115. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2933\/85 and -0.18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 12 = 6. Suppose 0 = -3*s - w*s + 696. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {r: 5, l: 5, a: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Suppose -8 - 10 = -k*w. Suppose -w - 66 = -2*d. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 8. Which is greater: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 108*y**2 + 113*y + 448. Let n be q(-109). Solve n*r + 30 = 7*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -p - 8*b, -3*p + 47 - 63 = -4*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7598*h**2. Let r(v) = 4234*v. Give r(a(s)).\nAnswer: 32169932*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187 + q**3 - 27*q**2 - 187 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.7259 millennia to centuries.\nAnswer: 2017.259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5781 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**7\/14 + 2*k**6\/5 - 3*k**5\/5 - k**4\/2 + 5*k**3\/2 - 3*k**2 + 40*k. Solve d(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11399 + -11395. Solve -38*n + c*n - 102 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(2*g - 7*g + 3*g + (-2*g - g + g)*(-4 + 5 + 2)).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 15*n + 26. Let s be l(-15). Let b(x) = x**3 + 2 - 3 - s*x + 27*x. Let j(h) = -h + 1. What is -3*b(v) - 3*j(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.63 - 3.23. What is the second smallest value in -2, -3, 46, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 3*i + 15 + 10*i + 16 - 70.\nAnswer: 7*i - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -22 - c**2 + 46 - 19 + 7*c. What is v(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**3 + 4*z**2 - 3*z - 1. Determine a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 2339469362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -996 divided by -10034?\nAnswer: 498\/5017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (15 + (-40 - -11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 0*f - 9*f + 4*f. Let j(r) = -r - 1. What is o(j(t))?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 457 = 29. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(6*o - 4*o - o)*(-100 - 195 + 98).\nAnswer: -394*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-3.2.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 519, 775, 1031, 1287?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (6 - 150\/26)\/((-2)\/(-62))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -4, 2\/15, -31.51?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + ((-5)\/(15\/(-6)) - -1). Let n(s) = 403*s**3 + s**2. Let k be n(y). Let p = 709 - k. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let p(v) = 13*v**2 + 34413*v. What is s(p(o))?\nAnswer: 13*o**2 + 34413*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -1\/7, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sps when three letters picked without replacement from {z: 1, p: 3, s: 16}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -29854348.05 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyqy when four letters picked without replacement from {g: 2, q: 2, y: 4, p: 1, l: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:54 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 36. Calculate the least common multiple of 10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfrfnffnffrjrnn. What is prob of sequence fr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 - 6*c**2 - 30*c - 3. Let i(a) = -a**3 + 2*a**2 + 14*a + 1. Let u(d) = -9*i(d) - 4*y(d). What is u(4)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/((-2)\/36). Suppose o - l = c*o + 3, -3*o - 7 = -2*l. List the prime factors of (0 + o)*(-1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 14. Let a(b) = -2*b - 13. Let t(k) = -6*a(k) - 5*o(k). Calculate t(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/14)\/(135\/(-525)))\/((-5)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 3*i + 5. Let w = -5 + 1. What is the units digit of k(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-20))\/((-54)\/30))\/((-9430)\/(-297045)).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9178 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:24 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + -134. Let p be (1 - -2) + (-1 - -2). Solve p*x - d = -m*d + 10, 0 = 4*d + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - 4\/12*0. Let f(g) = g**3 + 5*g**2 - 4*g + 5. What is f(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.004 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:45 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*h**2 + 34*h**2 + 5*h**3 + (6*h - 6*h + h)*(-3*h**2 + 3*h**2 + 2*h**2).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142372 is divided by 565.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, 5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -7.0002.\nAnswer: 2.10006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 o, and 1 m when four letters picked without replacement from vomvomvm?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:10 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 31. Let k be t(6). Suppose -k*x + 497 + 168 = -5*f, 5*f + 677 = -x. Let v = 233 + f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*l - 0*i + 24, -4*i - 30 = -3*l. Let a(d) = 5*d - 5. Let k be a(l). Let v = k - -28. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/281 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 26. Let u(g) = 2*g - 15. Let p(a) = -5*f(a) + 9*u(a). Suppose 4 = -l - 3*l. Let t be p(l). Put 4, t, -4 in increasing order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 32. Suppose 2*k + 66 = -75*l + 79*l, 55 = 3*l + 4*k. Calculate the remainder when l is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/60 - g**4\/4 - g**3 + 3*g**2. What are the prime factors of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-2)*(-8)\/(-4). Let b(i) = -i**2 - 15*i - 10. Let d be b(v). Let c = 11 - d. What is the third biggest value in c, -4\/5, -15\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -1 (b) 9 (c) 6 (d) -166 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16134 - -20865. Is 324 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/11, 5\/2, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11dd8 (base 16) to base 5\nAnswer: -4320201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 295. Let t = -178.9 + f. Let z = t - -76. Which is the closest to 0? (a) z (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 759, 762, 765, 768?\n\"Answer: 3*v + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-3\/5)*q*(q*q**(-2))\/q)\/(q*q**(1\/2)*q*q)**(-15\/11))**(-4\/35))**(-1\/60) assuming q is positive.\nAnswer: q**(197\/19250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-63)*(-3 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -639931 or -639930?\nAnswer: -639930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-40))\/(26\/8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (0 - (-1 + 1)). Suppose 2*s + 40 = 4*i, -63 = -5*i - 0*s - 4*s. Let w = 8 - i. What is the third smallest value in w, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -2, 14.\nAnswer: -2, 4, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - 30) + -100 + 131.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -73*i**2 + 112*i**2 - 37*i**2. Let z(p) = 569*p**2. Determine r(z(l)).\nAnswer: 647522*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*d - 381 = 36 + 355. Let o(c) be the third derivative of 0 - 1\/3*c**3 + 0*c + 1\/6*c**d - 1\/30*c**5 + 20*c**2. Suppose o(t) = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1335*c**3*k - c**3*q**2 - 440*c**2 + k*q**2 wrt c.\nAnswer: 8010*k - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 4.3\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -62.2 * 5\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 - 207 = 5*s. Suppose 5*b = -3*y + 31, -2*b - 2*y - 6 = -4*b. Let f be b*s\/(-1550) + 0. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -768 - -841 - (10 + 4 + -2).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(3298\/582)*(0 - -1).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 32 = -46. Let p = s + 77. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*k + 24*k**3 - 133*k)*(-1 + 5 - 6 + (0 - 4 + 3)*((4 - 5 + 2)*(-1 + 5 + 0) + 2 + 0 - 1)).\nAnswer: -168*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6290198 - 14170390 = 2*b - 14*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-5 + ((-75)\/(-18) - -1)). Solve -5*z = -3*n - 31, -z + 2*n + 9 = -c*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 * -9\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594867.\nAnswer: 3, 7, 13, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52055 by 19.\nAnswer: 52055\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*a + 437*a + 1551 = 866*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 10464\nAnswer: 17\/10464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13756.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48928947 to the nearest integer?\nAnswer: 6995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)\/v**(-1\/2))\/(v**(-1))**41)**(-29) assuming v is positive.\nAnswer: v**(-7105\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 12:13 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13015 (base 11) in base 3?\nAnswer: -221120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15504109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62490059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69463709\/245323 - -34\/18871. Let n = k + -541627\/1911. What is the common denominator of 29\/3 and n?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 38) + (-40 - -22 - -80)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/90 + (-9)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*d**3*x - 3*c*d*y + 14*c*x + 6*d**3*y + 15*d**3 + 2*d*x*y wrt c?\nAnswer: d**3*x - 3*d*y + 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 35. Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, k: 3, z: 2}. Give prob of sequence krk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(0 + d**2 + 0) + (-293*d - 211*d + 323*d)*(2*d - 4*d + 3*d) + (3 + 1 - 5)*(5*d**2 - 2*d**2 - d**2).\nAnswer: -181*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:07 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyyeeyyyyeyyeeyyy. What is prob of picking 2 e and 1 y?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -z - 37, l - 15 = 2*z + 5. Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -2 (c) -0.157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -11.2583, 5\/4 in ascending order.\nAnswer: -11.2583, -0.4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from fllxmfvz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11*r - 8*r + 2 = 0, 3*h = -r + 6. Suppose -3*m = h*i - 47, m = 4*m + i - 49. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 3576*q - 4386856\/3.\nAnswer: -2*(q - 4918)*(q - 446)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 168*v**2 + 1722*v - 26. What is z(11)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 30*l**2 + 63*l - 9. Calculate x(-4).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0714 - -0.0713697. What is a rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69374 (base 14) in base 10?\nAnswer: -255882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21020 (base 3) to base 13.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 10:48 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17904 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439331490, -878662981, -1317994472, -1757325963, -2196657454, -2635988945?\nAnswer: -3075320436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 635350 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c9dcd - -37?\nAnswer: 2ca026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21041 (base 14) to base 7.\nAnswer: 451111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1264751 + -10?\nAnswer: -1264761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381462130 to the nearest integer?\nAnswer: 19531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - a + 80 = 0, -5*a - 27 = 2*j - 131. Solve -20*q = j - 117 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 1006324650?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 16) to base 13.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 264, 395, 526, 657?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(832) - 3*sqrt(832)) - (2*sqrt(832) + 5 + sqrt(832))) + 3)**2*-2.\nAnswer: -81544 + 448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55675553002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1042437.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6160 = 20*n + 48*n + 41*n + 67*n for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = 30*g - 38*g - 12. Let a(w) = w**3 - w**2 - 4*w + 1. Let j(f) = f**3 + f**2. Calculate g*a(n) + j(n).\nAnswer: 2*n**3 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 - (-1155 - 1). Suppose -t = 9*c - 14*c. Calculate the greatest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 293 - 85 = 0. Let c = -8 - n. Suppose v + 5*w = 20, 3*w = 6*v - v - c. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3198\/(-65))\/(2\/5). Let k = o + 125. Let x = 18 + -10. Solve -13 - k = 3*t, -4*t - x = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z - 4 = 0, 3*z = -f. Suppose -7*r + 4*r = -6. Let 5*m + m - 9*m**r - m**f - 5*m**3 = 0. What is m?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.2. What is the smallest value in -4, x, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -23*w + 27*w - 3*b - 39, -2*b - 124 = -34*w + 2*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.57847 rounded to two dps?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 288244527\/10 at most as big as 28824453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4697 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 10, -0.3, -1\/2, 0 in decreasing order.\nAnswer: 10, 0, -0.3, -1\/2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 10867002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04706 - -0.04706. What is the third biggest value in 5\/3, -2.2, f?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2161 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 611*z**4 + 163822*z - 79636736 with respect to z.\nAnswer: 2444*z**3 + 163822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.385 times 0.5?\nAnswer: -70.6925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 0 + 526\/3*l**3 - 1\/3*l**4 + 352*l**2.\nAnswer: -l**2*(l - 528)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1565669343 to the nearest integer?\nAnswer: 39569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 - 35*i**2 - 49*i + 3. Let c be w(-7). Let a(d) be the first derivative of 1\/11*d**2 + 9 + 0*d - 2\/33*d**c. Suppose a(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 93.\nAnswer: -65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-45)\/10. Let b(d) be the third derivative of 1\/12*d**4 + 1\/30*d**p + 0 - 1\/3*d**3 - 1\/60*d**6 + 2*d**2 + 0*d. Factor b(m).\nAnswer: -2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001448566 to six dps.\nAnswer: 0.001449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -3, 0, 1.\nAnswer: -6, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31635 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: Simplify (y**2\/y)**(-24)\/((y*y**0)\/y)**23 assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-11))\/((-25)\/330*6210\/(-225))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 - 6244?\nAnswer: -6243.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*u**4 + 128*u**2 wrt u?\nAnswer: -1656*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 3\/14*r**7 - 3*r - 56\/3*r**4 + 1\/3*r**3 + 1\/15*r**6 + 0*r**2 + 0*r**5 + 35. Find the third derivative of m(b) wrt b.\nAnswer: 540*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4 - 14. Suppose 5*w + 0*v = v + 145, -k*w = -3*v - 71. What is p in 4*p**2 - 3*p**2 + w*p - 30*p = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 2\/49, -11\/6, 1\/4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -439, 3, 248720 in increasing order.\nAnswer: -439, 3, 248720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(5) + 3)*-3 + -1 + 1 + sqrt(1008) + sqrt(1008))**2.\nAnswer: -378*sqrt(7) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let o be 2*1\/v + 13. Let r = o - 13. What is the closest to r in -2, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/(10\/(-2))*13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-472)\/40 - -4) + 8. Which is the second smallest value? (a) -4 (b) -259 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -4*r - 27, -3*r + 6 = 0. Calculate the smallest common multiple of z and 477.\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 6)*-2*9\/(-432)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 30 = 3*b - 5*j, b - 3*j - 28 = 0. Suppose -19 = -4*h + 3*w, -94*w = -92*w + 10. What is the highest common factor of b and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 3. Let d be z(6). Let r be (4 - 7)*(-5)\/3. Put r, 0, d in decreasing order.\nAnswer: r, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 147*a**2. Let b(q) = -9*q + 60. Let c(i) = 2*i - 16. Let t(y) = -4*b(y) - 15*c(y). Give u(t(h)).\nAnswer: 5292*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(1200) + sqrt(1200) + 0 + sqrt(1200) + 2) + 4)**2.\nAnswer: 720*sqrt(3) + 97201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0442 + 98.\nAnswer: 98.0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1530.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/10 - 3\/2. Let o(w) = -3*w**2 - 1. Determine o(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17447 - 109?\nAnswer: -17556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686759045 to the nearest integer?\nAnswer: 26206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*l*p**3 + 12*l*p**2 + 3*l*p + 19*p**3 + 1729*p wrt l.\nAnswer: -85*p**3 + 12*p**2 + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 8*k - 6*k + 11204, 4*k - 14972 = -4*f. What are the prime factors of f?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 209*a**3 + 290*a**3 + 560*a**3 - 10*a**3.\nAnswer: 631*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1536 + -2781. Let n = q + 21158\/17. Suppose -16 = -4*p, 5*b + 5*p = 929 - 914. Is n smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z. Let f(q) = q**2 + 7*q - 4. Let o(h) = 2*h**2 + 8*h - 6. Let r(n) = -3*f(n) + 2*o(n). Calculate 6*j(s) + 5*r(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0 - 15712?\nAnswer: -15632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -829140\nAnswer: 1658280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 15*v**3 + 120*v**2 + 140*v.\nAnswer: -5*v*(v - 7)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4, x - 2*n - 1 - 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*l**2 + 2840*l**2 + 4170*l**2.\nAnswer: 7318*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3423 and 978?\nAnswer: 6846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2959508 and 580.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d118 (base 14) in base 9?\nAnswer: -1201338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 25.428.\nAnswer: -101.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1785211 by 61559.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-26))\/(1\/(16\/4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from kffjjjjkj.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9477\/39)\/(-27))\/(2\/20*5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + q)*(-7 - 9 - 4)*(0 + 1 - 4).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2\/15*h**3 - 1\/5*h**2 + 2\/5*h + 11 + 1\/10*h**4. Factor w(p).\nAnswer: 2*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-38)\/(-9). Suppose -c - 5*r = -725 + 57, r = 3*c - 2052. Suppose n*w + c = 18283. What is w rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-40) + (-51)\/(-15) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/60 - j**4\/3 - j**3\/3 + 18*j**2. Let k be t(-5). Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 573 or 574?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + (-14)\/6. Let t(i) = i**2 - 1. Let c be t(q). Suppose -c*k = -4*k + 4*g, 0 = -5*k + 3*g + 34. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 9 = 16*p. Let u = -5 + 5. Suppose 5*q - 10 = -u*q. Solve 0 = -6*n + 5*n + 4*s - 10, -p*s = -q*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5692286 and 36760.\nAnswer: 113845720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212101201120 + -20?\nAnswer: 2212101201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, z: 5}. Give prob of sequence ztt.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from opjpw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 3370.\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-2106))\/(128\/666432)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 3*p - 2. Let h be n(4). Let f be ((-1)\/h)\/1*0. Let d(y) = 7 - y - 5 + 6. Determine d(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-15)\/(-4))*2*1173*33\/(-2244).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + -3 + -2 + 11 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*w + 252*w = 114. What is the highest common factor of w and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1870327 - -1870092.0109. Let r = 332 + -567. Let h = r - y. What is h rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3532 greater than or equal to -2.57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2.7 (b) 1\/3 (c) -6\/5 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 24319522 + 8*n - 24319522. Let a(u) be the third derivative of 0 + 0*u + u**2 + 0*u**4 + 1\/60*u**5 + 0*u**3. Determine a(x(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 314086827 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*k - 256*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 3*p**2 - p**2 - 3*p**2 + 2*p - 2*p + (3*p - 4*p - 3*p)*(-p - 3*p + 6*p) in the form w*p**2 + s*p + d and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.1, -0.2, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 - 3*k**2 + 5*k + 7. Let c be z(-3). Let n be (8 - (275 - -9))*-1. What is the greatest common divisor of n and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-16) - -1)\/(3\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 5, c: 9}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 5 - z - 1\/3*z**3 + 7\/2*z**2. What is p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*sqrt(39)\/sqrt(3) - (sqrt(1573) + sqrt(1573) + 1 - (-2*sqrt(1300))**2) - (-3*(-2 + sqrt(1300))**2 - 4*sqrt(1300)*2).\nAnswer: -77*sqrt(13) + 9111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwww when four letters picked without replacement from nnwnnwwnnnwnnnnwnnn?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 498 in descending order.\nAnswer: 498, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 7*b = -c + 37963, 5*c - 113873 = -3*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 5*g + 62*g**2 + 1.\nAnswer: 62*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 28*l**2 - 47*l + 105. Let j be d(29). Is -2100 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160831818 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/20 - 58*p**4 - 465*p**3\/2 + 8*p**2 - 166. Factor n(u).\nAnswer: 3*(u - 465)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/25*5*-51. Suppose b - 119 - t = 0. Calculate the greatest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -64. Calculate the least common multiple of 8\/2 + (3 - 6) + 11 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(175\/630)\/((-260)\/(-48)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let n be 0\/1 - (-1 + 11). Let t = i - n. Solve -t = -5*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2780 divided by 2\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let k(p) = -p**3 - 4*p**2 - 2*p - 6. Let i be k(-4). Let v(q) = 2*q - 2*q + 2*q**i. Calculate v(f(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 3. Let g(m) = -m**3 - 8*m**2 + 6*m - 22. Let k be g(-9). Calculate z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37459?\nAnswer: 47, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 12*w**2 + 9\/2*w**3 - 1\/24*w**4 - 1\/60*w**5 + 0*w + 0. What is the remainder when y(0) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16743407 <= -16743405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 226*z - 1732. Give j(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = -34*x - 119 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*c - 89 = 117*c + 4*o, -c + 2*o + 89 = 0. Solve -23*g + 26 + c = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n**2 + 7 - 7 + (0 - 2*n + 0)*(-3*n - 4*n + 6*n) + n**2 - n**2 + 2*n**2)*(-2 + 2 + 3) in the form q + w*n**2 + y*n and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 14*a + 3*q = 5*a - 7, 5*a + 4*q = -30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p. Let m(u) = 3*u**2 - 2*u. Let n(g) = -m(g) + 2*y(g). Suppose 0 = 7*w - 3*w - 48. Let j(a) = 12 - 5*a**2 - w. Give j(n(r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -13\/20*n**5 + 0*n**4 - n + 0 + n**2 + 0*n**3. Let g(t) be the third derivative of t**5\/30 + t**2. Calculate g(x(l)).\nAnswer: 3042*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let s be -1*(-2)\/(-12) - (-1)\/(-6). Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4029 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325116 + -3?\nAnswer: -325122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.61 + 0.39. Let u = 19.8 - 6.1. Let i = u - y. Which is the second biggest value? (a) i (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357.1873 millimeters to nanometers.\nAnswer: 357187300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from iiggggggigg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 9. Let c be p(5). Let j(s) = 5*s**3 - 5*s**2 + 4*s + 5. Let o(x) = -6*x**3 + 5*x**2 - 4*x - 6. Let m(r) = c*o(r) - 5*j(r). Give m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 2*a - 14. Let g be m(5). Let w(b) = -3*b + 2. Let r be w(-1). Solve r = 4*n + g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357099 is divided by 89231?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4021786?\nAnswer: 2, 2010893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3*q - 11. Let j be y(6). Solve -3*g = -j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*h + 8*h. Let -2*s + 8*s - 54 + 2*s**3 + 56 + h*s**2 = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -13 + 14 + -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaza when four letters picked without replacement from {y: 1, c: 3, a: 2, x: 1, z: 5}.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r. Let w(z) = 7*z**2 - 5*z. Let v(d) = -d**2 + 10*d - 29. Let q be v(4). Let a(i) = 20*i**2 - 14*i. Let t(p) = q*a(p) + 14*w(p). What is k(t(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + 4. Let n(k) = k**3 + 8*k**2 + 16*k + 55. Let z be n(-7). Is t\/8 - 2074\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884 = -156*x - 2132 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*c + 5, 2*c = p + p + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5)**(-25)\/((f**(-20)\/f)\/(f\/(f\/f**11))) assuming f is positive.\nAnswer: f**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30341300 (base 5) to base 3.\nAnswer: 110112001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -29, -0.12, -1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-8)*(-3072)\/128. What is the highest common factor of v and 3399?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 - 242 = -0*m + 2*m + 5*v, m + 13 = -8*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 - 33001477777864.\nAnswer: -33001477777864.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -46*c + 3198. Let d be n(69). Solve -d = 58*g - 54*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 34*u + 67\/2.\nAnswer: (u - 67)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8866903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 - 7*b - 10. Let k be v(-4). Let p(z) = -z**2 - 9*z - 8. Let o be p(-7). Let g be 2\/((-3)\/(15\/2)). Sort g, o, k.\nAnswer: g, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**6 + 370*j**4 + 3859*j**2?\nAnswer: 840*j**3 + 8880*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:12 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1016 = -4*w, 0*o + 981 = 4*o - 3*w. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-465)\/(-18) - (-35)\/30 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 388*k**2 + 386*k**2 - 1156*k**2 + k + 383*k**2. Let x(y) = -9*y - 2*y - 3*y**3 - 16*y**2 - 2*y**3. Let a(g) = -6*r(g) - x(g). Factor a(s).\nAnswer: 5*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0.0618 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from dyyyvyyyvyyddd?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1516 + -1512. Which is the nearest to 16? (a) -32 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 12) to base 7\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 3\/(-2) - 7\/(-2). Suppose 4*v + h - 19 = 0, 0 = 4*v + u*h - 0*h + 1. Suppose v*o = 12*o - 552. Calculate the remainder when o is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (476\/49)\/((-2)\/(-7)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 873 - 873. Solve 2*q + 4*a = -o*a - 22, 5*q + 16 = 3*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173526487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 10. Let j = c + 40. Suppose 0 = -3*n - 2*y + 37, -3*n + j = -2*n - 3*y. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -3\/2 (c) 6\/7 (d) 39.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29702 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:31 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 340, 15, -532, -1355, -2508, -4045, -6020?\nAnswer: -8487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 16*b**2 - 11*b - 181. Let j be c(-11). Which is greater: 544 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206225 - 206225 + 15663*p**2.\nAnswer: 15663*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 10*w = -3, -5*w = -5*g + 90. Solve -3*j + g = 5*z, 0 = -4*z - z - 4*j + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 695 + 659 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21925?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11675 + -11673. Which is the closest to t? (a) -1\/4 (b) 7\/6 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187456897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2) + (68 - 2). Suppose 3*d = 2*d. Suppose 0 = 4*l + 5*v - u, d = -2*v + v. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.629 and -38.\nAnswer: 23.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26121 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-10))\/((-6)\/(-30)). Let b be 5*(l + (-14)\/10). Sort b, -7, -1 in increasing order.\nAnswer: -7, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 110. Suppose 8*g - j = 16*g. What is the units digit of 1218\/35 + (-2)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007176127 to the power of 1\/3, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*(-728)\/156*9\/32?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3015 and 166995.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 27266354.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -532648.\nAnswer: -17\/266324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3 (b) 19 (c) 3 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -1037, -1509, -1925, -2267, -2517, -2657, -2669?\nAnswer: -2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4255, 4245, 4233, 4219, 4203?\n\"Answer: -s**2 - 7*s + 4263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -741*b + 746*b + 2*g, 180 = -10*b - 5*g for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42344, -84660, -126988, -169334, -211704, -254104?\n\"Answer: -n**3 - 42309*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 297. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -11*h + 10*h. Let d(f) = 2*f + 3*f - h*f. Let s(p) = -11*p. Calculate d(s(k)).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21430, -41773, -61032, -79207, -96298?\nAnswer: -112305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1788 + 228 = -4*d, 0 = -5*p - 5. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u. Let p(m) = -48*m + 8. Give p(z(j)).\nAnswer: 624*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 25. Let s = 11 + -9. Suppose -3*y = -8 + s. Sort y, -2, f in descending order.\nAnswer: y, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8. Let a = -0.29 + 0.09. What is the nearest to 0.1 in s, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 248622 + -104669814\/421. Does 0 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 330 = 0. Is (-2)\/(-7) - h\/(-21) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 80, 191, 334, 503, 692, 895?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720)\/(sqrt(12) - 1*sqrt(768)))\/(-3*((sqrt(1728) - (1*sqrt(1728) + sqrt(1728))*1 - sqrt(1728)) + sqrt(1728))).\nAnswer: sqrt(5)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) -3 (c) 22 (d) 4\/5 (e) 9\/2 (f) 5 (g) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235770822?\nAnswer: 2, 3, 7, 199, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.21 - 80.21. Let z = m + 131. Let w = -52.000009 + z. What is w rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7505 - 3246. What are the prime factors of d?\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmrppqrqbrq. What is prob of sequence prqr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17129 and 805.\nAnswer: 1969835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < 23350882\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1962818 is divided by 2784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14*a + 3104 + 9244 = 0. Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 778 = 2*f, 4*f - 1018 = 11*z - 6*z. Is z >= -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose -6 = 5*z - 21. Find the second derivative of c**z + p + 1 + 2*c - 3 wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/9 - -13\/9. Let m = 750.5 - 751. Which is the second biggest value? (a) m (b) -2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 6*j**2 - j + 10. Let x(a) = -a**2 - 1. Determine g(z) + 6*x(z).\nAnswer: 2*z**3 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4923 + -4872 - (109 + 3).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*h**3 - 3)*(-2*h**2 - 3*h**2 + 3*h**2 + (0*h + 3*h - h)*(2*h + 0*h - 3*h) + (2 - 4 + 15)*(5 - 5 - 3*h)*(-17*h + 17*h - 59*h)).\nAnswer: 4594*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 2\/3*w**2 + w + 1\/18*w**4 + 0 - 1\/3*w**3. Factor d(f).\nAnswer: 2*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 - 7*q**3\/2 - 17*q**2. Let a be x(14). Let g(f) = f**3 + 8*f**2 + 10*f + 3. Let h be g(a). Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - a**2. Let w = 11 - 9. Suppose 11 = -w*q + 3*o, -q - 5*o + 19 = 5. Let i(t) = -t**3 - t + 1. Let k(r) = q*j(r) - i(r). What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 1 w when three letters picked without replacement from {t: 2, w: 2, g: 1, h: 2, c: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h + 6. Suppose 3*d + 11 = m, 3*d = 2*m - 5*m - 27. Let w be v(m). Let f = 0 - w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -549500 divided by -4?\nAnswer: 137375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 17. Is g(-14) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*t + 106*t - 56774 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 35 = 21. Suppose 3*t - 5005 = -x*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + ((sqrt(76) - sqrt(19)) + 1)*1*-3 + 3.\nAnswer: -3*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 36*y - 95. Let i be z(33). Solve 2*o - 3*m - 2*m = 4, -2*o = -i*m - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:46 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + 30\/(-72). Which is the nearest to 0.06? (a) -2\/11 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 + 2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 32 = -11*v. Suppose -v*r - 20712 = -14*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12 - 4 + 10833*i.\nAnswer: 10833*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*i + 4*j - 18, -5*j = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*v - 12, 32*v - 28*v - 22 = -u. Which is the nearest to -22? (a) -3\/5 (b) v (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -221 - -353. Calculate the least common multiple of 54 and a.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**3 - 3. Let b(r) = 4 - 79*r**2 + r - 6*r**3 + 80*r**2 + 0*r. Let q(y) = -6*b(y) - 5*n(y). What is q(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -5. Let d(f) = 12*f - 7. Let b be d(-10). Is (b\/(-3))\/(w\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.46?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20458326727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 46*l**3 - 2*l. Suppose w = b + 2*b, -4*w + 7 = -5*b. Let a(u) = u**3 + u + 1. Let d(k) = b*a(k) + s(k). What are the prime factors of d(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, e: 2, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -157*k**4\/12 - k - 6. Let h(n) be the second derivative of -n**4\/12 + 273*n. Calculate l(h(m)).\nAnswer: -157*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 1, v: 3, f: 1}. Give prob of sequence hb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2\/7 - 18*g\/7 - 36\/7 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7135, 9864, 12593?\nAnswer: 15322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 take away 0.02337?\nAnswer: -2.42337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8452422.0401978 + -8444623.1802. Let o = x + -7798.79. Let g = -0.07 + o. What is g rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257\/12 + 19. Find the common denominator of -35*(-1 - (-15)\/10) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19855912 and 80?\nAnswer: 198559120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d - 272. What is w(8)?\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162793791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**2 + 2*n + 10. Let m(v) = 17*v**2 + 18. Let t(z) = 27*z**2 + 29. Let q(a) = 8*m(a) - 5*t(a). Suppose -f + 58 = 59. Calculate f*u(r) - 8*q(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 392*o**4 + 9812*o**3 - 42592*o**2 + 64848*o - 31680 = 0. Calculate o.\nAnswer: 1, 2, 33, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1646 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + 57 + 23 + -66?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.353 plus -3243144?\nAnswer: -3243288.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/136*(-4)\/((46\/414)\/((-44)\/33))?\nAnswer: -60\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22337274 and 0.19?\nAnswer: 22337273.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16074.68088 rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 + 1)*(4*x**3 + 3*x**3 - 5*x**3).\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(2\/(-32) + 0). Suppose 0 = -8*q + 9*q + 1. Is q <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqnq when four letters picked without replacement from {n: 9, q: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*b**4 - 2893*b**3 + 328780 wrt b?\nAnswer: 72*b**3 - 8679*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + q + 22 = 4*q, -5*p + 28 = -3*q. Suppose -4*g - 2*u - 50 = 104, -3*g - p*u = 112. Let a be g\/(-9) - 3\/9. Sort 0.5, a, -3\/2 in descending order.\nAnswer: a, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2584012 litres to millilitres.\nAnswer: 258.4012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 less than 404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3265 + 44*f + 3265 in the form m + d*f and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -9 (b) -4 (c) -2\/25 (d) -2 (e) -213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*j + 1. Let s(x) = -37*x**3 + 3 + 6*x + 78*x**3 + x**2 - 42*x**j. What is the remainder when 17 is divided by s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y**3 + 26*y**2 + 72*y**3 - 38*y**3 + 1 - 8*y**2 + 76*y**4 - 13*y**2 in the form a*y + k*y**2 + n*y**4 + t*y**3 + p and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3151 - -3147. Which is the nearest to 0.2? (a) 0.313 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (4 + -13)) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 4?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -587*h**3\/2 + 2241*h**2\/2 + 241*h + 2. Differentiate q(f) wrt f.\nAnswer: -1761","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = 2*t - 2936, -5*c = t - 1454. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-2))\/(c\/c**(-5\/2)) assuming c is positive.\nAnswer: sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.128556 kilograms?\nAnswer: 128556000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.730752428 + 768.\nAnswer: 737.269247572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 11*j**2 - 10*j - 12. Calculate t(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*t**2 + 53*t - 260 - 8*t - 18*t**2 + 40*t.\nAnswer: -5*(t - 13)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4.3, 4, 15, -0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/7*(-6)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, x: 1, d: 4, c: 4, q: 3}. What is prob of sequence cx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 2)\/((-3)\/9). Suppose i*d + 2673 + 2607 = 0. What is d rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(126\/(-7722)*-11*-1)?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 v, and 1 t when four letters picked without replacement from {d: 3, t: 2, f: 3, v: 3, g: 3, s: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqeqqqqeqqqqq. What is prob of picking 2 q?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwnnznnswwwzwwwww. What is prob of picking 3 z?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1136*m**2 - 869679 + 869679 + 131*m**2 + m to z + s*m**2 + c*m and give s.\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -h + 1, 179*h - 184*h = w - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9897 is divided by 233.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/5 + 3528*t**3\/5 - 416292*t**2\/5 + 807928*t\/5 + 245550 = 0. What is t?\nAnswer: -1, 3, 125, 1637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/1001 and 87\/1144?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63b (base 15) to base 9.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*g**2 + 33*g**2 - 282*g**2 - 209*g**2 to the form o*g**2 + d + l*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63610, -127128, -190646, -254164?\n\"Answer: -63518*j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2786*q**4 - q + 4983*q**3 - 9974*q**3 + 4988*q**3 to t*q**3 + i + r*q**4 + x*q**2 + p*q and give r.\nAnswer: 2786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56922, -113838, -170750, -227658, -284562, -341462, -398358?\nAnswer: -455250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -32*c**2 - c - 1. Let i be w(-1). Let l be (-3)\/9 + i\/(-6). Let m(z) = z**2 - 4*z + 4. List the prime factors of m(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-203)\/(-21) - 9). Solve -3*g - 4*q = -q - 9, -3*g = 2*q - k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40663 - -0.27178\nAnswer: -40662.72822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4 - 0. Let v(q) = 2*q + 3. Let i(a) = -1. Let d(u) = 3. Let n(m) = -d(m) - 4*i(m). Determine t*v(y) - 2*n(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566091.\nAnswer: 3, 31, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 65663.\nAnswer: 65668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10328, 20654, 30980, 41306?\nAnswer: 51632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47128?\nAnswer: 2, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = z + 27. Solve -2*f = -z + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let a be (-15)\/(-297)*6\/(-5). What is the biggest value in a, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -266277*n**2. Let z(j) = 2*j. Determine z(m(v)).\nAnswer: -532554*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 - 1748*d**2*w - 2181*d**2 + 4971043*d*w - 3*w wrt d?\nAnswer: 12*d - 3496*w - 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82\/26 - (-4)\/(-26). Suppose 8*b - 410 = s*b. Suppose -2*v - 2*l + 57 = l, v = -4*l + 41. What is the remainder when b is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**2 + 4*z - 6. Let n(t) = -14*t**2 + 8*t - 11. Suppose -5*r + 22 = -3*r. Let k(o) = r*x(o) - 6*n(o). What is the second derivative of k(v) wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 3284*x**6\/15 + x**4\/6 - 469*x**2 - 3243*x - 2. What is the third derivative of r(c) wrt c?\nAnswer: 157632*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*s**5 + 107*s**5 + 90*s**5 + (2*s**5 - 2*s**5 + 2*s**5)*(3 - 6 + 1).\nAnswer: 276*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -99. Suppose 0 = -2*f + 5*j + 2 + k, 80 = 3*f - j. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(13))**2 + -1*sqrt(1872) + -3.\nAnswer: -20*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1518, 3184, 4844, 6492, 8122?\n\"Answer: -a**3 + 3*a**2 + 1664*a - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**6\/15 - 13*c**2\/2 + 3*c + 16. Let o(q) be the first derivative of l(q). What is the derivative of o(p) wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 634471, 1268940, 1903409?\n\"Answer: 634469*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64481560 = 66*a - 14*a. Round a to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 13*s + 14 - 27.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 677\/7. Let i = 0.179 + 2.836. Let o = i + -0.015. Which is the nearest to 2? (a) o (b) -3\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55624133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = -9, 2*i + 9 = w. Put w, -0.2, 2, -0.5 in decreasing order.\nAnswer: w, 2, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtoqqodqmtdottmttd. Give prob of sequence mqo.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/120273 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -66 + 1842. Is 42 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i = -100*i + 59004. List the prime factors of i.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 t when four letters picked without replacement from otoftfttfettoo.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(567) - (sqrt(567) + sqrt(567) + 2)**2) + 3.\nAnswer: -2273 - 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -13 (b) 4285\/4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884 = -290*m - 38*m + 5476 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -172, -345, -518, -691, -864?\n\"Answer: -173*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 80 = 3*k, -f - 1929*k + 1944*k - 20 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let t(r) be the second derivative of 19*r**2 + 1\/3*r**3 - 1 + 5*r. Calculate t(s(n)).\nAnswer: 2*n**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 10*u**2 + 7*u + 15. Let f be k(9). List the prime factors of (117\/(-26))\/(f\/100).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 17*r**2 + r - 24. Let w be n(17). What is the lowest common multiple of 80 and 36\/126 + (-54)\/w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*i - 10952 - 64125, 0 = -8*o + 5*i + 150189. List the prime factors of o.\nAnswer: 2, 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4785514\/433 - 11052. Let m = t + -43729\/866. Calculate the common denominator of m and ((-60)\/(-8))\/((-11)\/(-7)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (-4*sqrt(5)*-3 + sqrt(245)*6)*-6))**2 + -2.\nAnswer: -69984*sqrt(5) + 18896002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89070.02ml?\nAnswer: 89.07002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*x - 35 - 11 = 0, -3*b = -5*x - 138. Solve -4 = -b*d + 44*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(6*p - 3*p - 2*p) + 0*p + 0*p + p)*(3*p**4 - 5*p**4 + 3*p**4).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*h**3 + 263*h**3 - 132*h**3)*(-1 + 5 - 3)*(-10*h**2 - h + 9*h**2 - h).\nAnswer: -14*h**5 - 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/32*-10)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 184 + 36*o - 105 - 19.\nAnswer: 36*o - 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) + (-3 + sqrt(3) + sqrt(3))**2 + sqrt(3))*2 + -3)*1.\nAnswer: -78 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-36)*(756\/70)\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/38*7\/21)\/((-14)\/6)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159971949?\nAnswer: 3, 163, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*h - 7. Calculate the common denominator of 7\/16 and (-8 - h)\/(72\/(-254)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6225926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o - 16 = 0. Let u = o + 7. Let l be (-2)\/((u + -5)*-1). Let a(w) = 5*w + 1. What is a(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9350*-766\nAnswer: -7162100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 - 143. Find the common denominator of ((-61)\/4)\/(2\/4) and r\/(-28) - 21\/28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 54. Determine f(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157578132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, e: 3, w: 1, y: 7}. Give prob of sequence ey.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -188, -190, -194, -200, -208, -218, -230?\n\"Answer: -b**2 + b - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400887 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-1)*-2)\/(351\/(-9360)*-40))\/(-246).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13062 and 147.\nAnswer: 91434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/9 (c) 386.73 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 4, r: 1, m: 1, j: 2}. Give prob of sequence mvr.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 2. Let t(q) = 6*q - 8. Let w(j) = j + 1. Let u(i) = -t(i) - 5*w(i). Let p(d) = 5*u(d) - 8*z(d). Let m be (-19)\/4 + (-2)\/8. Determine p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (-1*sqrt(252) - sqrt(252)))*-2*2*6)**2.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.10407 + -0.10407. Which is the closest to -0.06? (a) -3 (b) 1\/2 (c) y (d) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/(-15))*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5727 and 96363.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 0. Suppose -4*y - 8 = -r. Calculate the least common multiple of 8 and 10\/40 - (-71)\/y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p**5*p)\/p*p)**(2\/83)\/((p*p\/(((p**(1\/12)*p)\/p)\/p))\/p)**(7\/9) assuming p is positive.\nAnswer: p**(-11635\/8964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -o + 15262 + 15270, -x + 5*o + 7633 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 74?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115248 rounded to 4 dps?\nAnswer: 0.1152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42258 is divided by 7042.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = w, 9*w = 4*w - 2*t + 24. Let x(m) = -m**3 - m**2 + 2*m - 1. Let z be x(-3). Suppose z = 2*p - 3. Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 82. What is the tens digit of x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126376129249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377944948 is divided by 1156?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 5*m)*(0*m**3 + m**3 + 0*m**3 - m**3 - 3 + 3 + (-5*m - m + 4*m)*(-m**2 + 2*m**2 - 3*m**2))*(-12 - 4 - 5).\nAnswer: 168*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 (base 9) in base 13?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2129953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 + 11*t + 5. Let v(u) = -u**2 + 2*u + 4. Let m be v(3). Let p be (-2*m)\/((-24)\/(-96)). Give a(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7 = -4*c + 23, c + 2*o + 2 = 0. Let u(g) be the first derivative of -4\/3*g**3 + 2*g + 5 - 7\/2*g**c. Factor u(v).\nAnswer: -(v + 2)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 >= 214\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**5 - 20*b**4 - 10*b**3 + 40*b**2 + 5*b - 20 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03097 times -1?\nAnswer: -0.03097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -5*v**3\/6 - v**2. Let p(c) = c - 6. Calculate -6*j(u) + 5*p(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*532\/1176)\/(50\/(-175))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.953 - 5.153. Which is the closest to m? (a) -31\/21 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*y - 5*m, -m = 2*y - 4*m + 5. Let a be 1\/(-2) - (-30)\/4. Suppose 23 - a = 3*s - p, -p = 5*s - 16. What is the third biggest value in s, -2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12168694403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/303483 or 0?\nAnswer: 5\/303483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t - t**2 + 0*t)*(2*t + 2*t - 2*t)*(-17*t - 2 + 2).\nAnswer: 34*t**4 + 34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1671005*i**2 + i - 493816 wrt i?\nAnswer: 3342010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 10*r - 6. Let b(p) = -p**2 + 9*p - 5. Let u(j) = -3*a(j) + 4*b(j). Let z be u(4). Solve 3*t = -0*t - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5694, 5907, 6118, 6327?\nAnswer: 6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 9 + 57. Let v be -1 + -1 + (5 - 0). What is the greatest common divisor of v and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Let f(r) = r**3 + 3*r**2 - 2*r - 10. Let w be f(-3). Sort h, w, 5, -1 in ascending order.\nAnswer: w, -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*v = 598*v - 763 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21066331, -21066332, -21066333, -21066334, -21066335, -21066336?\nAnswer: -21066337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 1. Let q be c(8). Let f = q - 15. Solve 12 = -h + 3*i, f*h - 12 = -5*h - 3*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2529459866 to the nearest integer?\nAnswer: 50294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.3344 plus -0.4?\nAnswer: 174.9344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 791, 876, 1011, 1196, 1431?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 15*n - 20. Calculate the remainder when 101 is divided by i(18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.6165 millennia to years.\nAnswer: 341616.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*z**2 + 1 - 397*z**2 + 0.\nAnswer: 111*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 294461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14426 + -2370. List the prime factors of t.\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 9.317.\nAnswer: 14.9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2880 and -161\/2880.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in -52, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + 7. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878 + 356 = -17*n + 75*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 24. Let z be 1\/(-1*3\/n). Let w(u) = 5*u**2 + 5 - z*u**2 - 3 + 2*u - 6. What is w(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 + (-200 - -208).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 406905.627+126\nAnswer: 407031.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {d: 3, j: 4, w: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -4*d + 24*i - 33*i + 20, 0 = -3*i + 2*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -5, -2016, -8.1?\nAnswer: -2016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191*d**3*s + 6*d**2 - 2*d*s - 19*d wrt d.\nAnswer: -1146*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 29 + 27 = 0. Calculate the remainder when 54 is divided by 0\/(-4 + 6) - (n - 21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1864)\/(-12)*40\/(-12). Let s = 518 + q. What is the nearest to 1 in 0, 3\/5, s, 0.06?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/59895 and 97\/203460.\nAnswer: 812415780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:13 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -13, -7, 17, 65?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 329 in 21, -2, 0.4, 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 2. Let h be ((-3*a)\/(-6))\/((-11)\/22). Suppose -3*p = -5*b - 0*b - 14, b - 4*p = 4. What is the closest to h in -5, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/10 + (-8)\/(-40). Suppose -24 = -n*p - 0*p. Find the second derivative of -p*r + 0*r + 34*r - 5*r**4 + 2*r**4 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnaannnnnn. Give prob of sequence naan.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - 1.9. Which is the second biggest value? (a) -3 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321068 is divided by 228?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 11*w**2 + 10*w - 155. Let i be k(10). What is the greatest common divisor of 345 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(684)*-3 + sqrt(684))**2.\nAnswer: 115596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 106.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 19*g + 30. Let s = g + -27. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26021790 by 6.\nAnswer: 4336965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-2)\/(25*18)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 18*m + 25. What is the tens digit of h(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3065121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-2)\/4). Let u = 8 - 4. Suppose 0*n = u*n. Put -4, y, n in increasing order.\nAnswer: -4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8107 * 274.\nAnswer: -2221318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1354578 - 176\nAnswer: -1354754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1534098 + 1682598 = 146*c + 18*c. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100192\/12411 - 5\/3546. Suppose -45*p = -48*p - 30. What is the common denominator of 1020\/(-280)*(-2 + p\/(-6)) and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -211.3856 - -210. Let l = -22.6454 + m. Let g = -24 - l. Round g to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22098 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30992 and -55\/624?\nAnswer: 92976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1807*j**6\/40 + 101*j**5\/15 + j**4\/6 + 233*j**2 + 5*j - 2. Find the third derivative of c(z) wrt z.\nAnswer: -32526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2.1 (c) 3 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -773*o**2 + 2317*o - 8. Give l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17266002 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.1 + 5205?\nAnswer: 5433.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*j**3 + 1064245*j**2 - 7611125*j + 13596875 = 0 for j.\nAnswer: -4351, 25\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1500 divided by -4\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728 = 2*d - 3*p, -4*d - 2*p = p - 1420. Let r = d - 356. Solve l + r - 5 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 1:07 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17182080 and 234?\nAnswer: 223367040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -10.1, -822.7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*h + 5412 = 2*y - 229*h, -3*y + 8118 = 4*h. Calculate the least common multiple of 10 and y.\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 2505 = -1129 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 1215*d**3 - 162792*d**2 - 7046976*d + 22639104 = 0. What is d?\nAnswer: -136, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100683 (base 9) to base 11.\nAnswer: -40871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 34*b. Let f(y) be the first derivative of -15*y**2 - y + 4669. Give f(s(w)).\nAnswer: -1020*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 60296743?\nAnswer: -60296745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 2*q + 341. Let z(r) = 6*r**2 - 11*r - 1704. What is 11*t(a) + 2*z(a)?\nAnswer: a**2 + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.704 (b) -0.3 (c) -1\/6 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 - 1762 = 4*g. Let r(x) = -37*x**2 - 227*x - 276. Let n be r(-7). Is g smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22067 - -970991\/44. Let y be ((-1632)\/220)\/(-8) - (-2)\/(-10). Let s = f - y. Put 3, s, 0 in ascending order.\nAnswer: 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463434646?\nAnswer: 2, 2267, 322769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2512*-4385.\nAnswer: 14256.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:09 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*t**6 + 712*t**2 wrt t?\nAnswer: 4440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1163 + 3087. What is the smallest common multiple of i and 8?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176958 - 880578\/5. Determine l so that 3993\/5*l**4 - 10527\/5*l**3 - v*l + 10098\/5*l**2 + 648\/5 = 0.\nAnswer: 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-20)\/(f\/(f**(2\/23)\/f))*f**(-2\/21)*f\/(f*f\/(f\/((f**(2\/13)\/f)\/f*f)*f)) assuming f is positive.\nAnswer: f**(-126598\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 1.058 (b) -1\/10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*g - 135 + 837. Let i(y) = -y**3 - 27*y**2 - 29*y - 51. Let j be i(g). Solve -3*o + 2*w - 11 = 5, o = 5*w - j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -2*p - 5, -4*h - 4*p = -16. Let n = -0.08 - 0.22. Which is the biggest value? (a) h (b) 8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = j - 4*j - 2, 30 = 5*j - 5*g. Suppose j = 2*u - 3. Suppose -u*z = -z. Solve 2*v - v = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7829932 or 7829902?\nAnswer: 7829932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1606374*q**3 - 5368*q**2 - 5368*q + 5368. Let r(u) = -2693*u**3 + 9*u**2 + 9*u - 9. Give -9*h(y) - 5368*r(y).\nAnswer: -1342*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 465 = -a, b - 620 = -3*b - 3*a. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 48. Suppose -15*s = -19*s + b. Suppose -a + s = 3*a. Solve -a*x - 5 = 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 34*m**2 + 1805*m - 1367. Give v(-63).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 503, -3, -1\/10, 6\/35?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqbqqbqbbbqqq. What is prob of sequence qb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100\/11*y - 18\/11*y**4 + 92\/11*y**3 - 14\/11 + 224\/11*y**2 = 0. What is y?\nAnswer: -1, 1\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1510406, -3020815, -4531224, -6041633?\n\"Answer: -1510409*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2*l + 21. Let t = 72 - 79. Is 14 a factor of d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27481 + -168151?\nAnswer: -195632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/975)\/(2\/(-4))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -133, -270, -415, -568?\n\"Answer: -4*h**2 - 125*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153701 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -23016*j. Let c(o) = -2*o**2 + 11. Determine c(r(u)).\nAnswer: -1059472512*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 181639287917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -590, -611, -632, -653?\n\"Answer: -21*l - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 164.\nAnswer: 164.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 - -0.06. Let l = -11.9 + 12. What is the second biggest value in w, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/2))**(2\/31))**(-1\/26) assuming t is positive.\nAnswer: t**(-5\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is e9 (base 16) in base 15?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 k when three letters picked without replacement from {b: 4, k: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 8) in base 16?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(84) + sqrt(84)*1 + sqrt(84))\/sqrt(7)) + -5.\nAnswer: -5 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1759*x - 1764*x = 0. Find c such that 121\/2*c**5 + 37\/2*c**3 + 2*c + x - 99*c**4 + 18*c**2 = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 26*z**2 + z. Let n be u(1). Let w = 38 - n. What is the remainder when 81\/4 + 2\/(-8) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u + 523. Let r be s(0). Let z = 18703 - 13165. Suppose 0 = -5*k - r + z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7115*k. Let d(a) = -9489*a**2. Give d(l(m)).\nAnswer: -480363782025*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (-1*1*sqrt(475) + sqrt(475))) + -3)**2 - (sqrt(475)*-1*2 + -2).\nAnswer: -20*sqrt(19) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 277 - 139. Calculate the remainder when 74 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11528\/87317?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/4)*q*q**(-10\/7)\/q assuming q is positive.\nAnswer: q**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25280303 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: Let c(u) = -14*u**3 + 4*u**2 + 12*u + 4. Let a(w) = -13*w**3 + 3*w**2 + 11*w + 3. Let s(g) = 4*a(g) - 3*c(g). What is the second derivative of s(p) wrt p?\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 11701*r = -11700*r - 87, -3*r = 5*v - 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2\/9, 56, 0.6 in increasing order.\nAnswer: -1, -2\/9, 0.6, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4 - 7*c**3 - 18*c**2 = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*h - 40*h - h - 152 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1841 divide 1558528006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -52*r. Let i(q) = 2*q. Determine i(o(d)).\nAnswer: -104*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*n + 54 - 1206. Calculate the greatest common factor of 20472 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1934253712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 - 2*b**2 + 4*b**4 - 2*b**4 - b + 3 as n + g*b**3 + m*b**4 + j*b + w*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 6, -2\/13, 4 in decreasing order.\nAnswer: 6, 4, 3, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3194\/3 + -12785\/12. Let i = 0.1 + -0.3. Put i, -13, d in decreasing order.\nAnswer: i, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Factor 4*c**2 - 4*c + 3*c**j + 3*c - 3*c.\nAnswer: c*(c + 2)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 15) to base 7\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*n - 4*n. Let z(p) be the second derivative of -p**5\/20 - p**4\/3 + 3*p**3\/2 + 7*p**2\/2 + p - 8. What is the remainder when z(n) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 + 125. Suppose -v = -o*c - 10, -5*v - 3*c + 23 = 1. Solve -2*y + 18 = -4*p, 39 = -v*p + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9656*y - 9656*y + 14*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13992 divided by -14777\nAnswer: 13992\/14777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -505?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z - 114*z + 36*z + 37*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d + 4*y, d + 2*y = y - 7. Let o be 20\/30 + (16\/(-15) - d). Put -2, 0.4, o in decreasing order.\nAnswer: o, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.87 and -6.688.\nAnswer: -12.50656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 14 - 6. Suppose 0 = -o*n + 4*b + 32, 4*n = 2*b + b + 25. Which is smaller: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*s, 3*s = 5*s + 3*m. Solve 2*b + 2*b + 20 = s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -17 - 20*t**2 + 18 - 4*t**3 + 0*t**2 + 3*t - 17. Let o(q) = 7*q**3 + 39*q**2 - 5*q + 33. Let l(j) = 3*o(j) + 5*r(j). Is l(-17) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15672?\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:05 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 6}. Give prob of sequence dqq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + (sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275)*4 + 4 + sqrt(275))**2)*4 + 5.\nAnswer: 1280*sqrt(11) + 70453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2030296401, -2030296398, -2030296393, -2030296386, -2030296377, -2030296366, -2030296353?\n\"Answer: l**2 - 2030296402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j**2 + j)*(2*j + 0*j + 0*j) + 583*j**3 - 2 - 316*j**3 - 307*j**3.\nAnswer: -36*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -176282, -176281, -176280?\n\"Answer: t - 176283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7420419 to the power of 1\/2, to the nearest integer?\nAnswer: 2724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, 9, 2\/19, -3, 1.5, -1 in decreasing order.\nAnswer: 9, 1.5, 2\/19, -0.18, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99405 (base 11) to base 2.\nAnswer: 100011001101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1789, 26\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 5. Let b be y(4). Suppose 0 = 6*h - 65 + 23. Calculate the greatest common divisor of h and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25292 is divided by 97?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/609)\/(((-27)\/(-54))\/(14\/(-52))).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i - 7. Let d(m) = 2*m - 5. Let w be d(4). Suppose 3 = -c, 0 = 2*u - 2*c - w*c - 11. Sort i, u, 0 in decreasing order.\nAnswer: i, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 9. Let d be v(-6). Let l(h) = h**3 + 3*h**2 - 3*h - 3. Give l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 - 2*q - 7. Let v be f(-5). Factor -51*c - v + 10 + 50*c**2 - 9*c + 11.\nAnswer: 2*(5*c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. What is the third derivative of -r**3 - 4*r**2 + 3*r**2 - 3*r**i wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 0.3, -3 in decreasing order.\nAnswer: 3, 0.4, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28433 is divided by 360.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/38948 and 37\/3276.\nAnswer: 350532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*q - 9 + 4, -10 = -q + 2*o. Suppose s - n + 7 = q, -n + 2*n - 15 = 2*s. Let z(y) be the second derivative of y**3\/6 + 2*y**2 + 5*y. Give z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53123886 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214471*h + 21 - 42 + 18.\nAnswer: 214471*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.3. Let v be (48\/(-4))\/(15\/2). Let p = v - -11\/10. Which is the nearest to p? (a) u (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -20. Let q be (-1)\/((-4)\/(-20)) + 10. Solve -h*k + 9 = -q*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8905.876 litres in millilitres?\nAnswer: 8905876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 58536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -80*x - 129. What is a(-15)?\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 19, -45, -145, -293?\n\"Answer: -2*c**3 - 26*c + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 162. Let x be u(-25). What is the nearest to -0.8 in 0.2, x, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 89 = r, -226 = -5*g + 4*r - 3*r. Suppose -13*f = -6*f + 133. Let v = g + f. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(-522*z - 5722 + 5721 - 145*z) as h*z + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 = -4*q - 9, 3*q = 15. Calculate the common denominator of (-12)\/w + (4676\/240)\/(-7) and -1\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*5 - sqrt(104))\/(sqrt(8) - -6*sqrt(32)\/sqrt(4))*5)**2.\nAnswer: 39325\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 880560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Calculate the least common multiple of 18\/(-2)*(8 - 9) and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 + -5) - (17 - 23).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/282 and 181\/1410.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -14\/15*r**6 - 112\/3*r**4 - 1 - 32*r**2 + 56*r**3 + 51\/5*r**5 + 8*r. Suppose f(h) = 0. Calculate h.\nAnswer: 2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-1 + (-4)\/(-3)). Suppose 0*z = g*z. Let p = -5 - -8. Solve -2*n = -3*r - 5, 2*r = p*n - z*r - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**3 - c**2 + 9*c - 3. Let p(f) = 4*f**3 - 5*f + 2. Let a = 37 + -32. Let r(h) = a*p(h) + 3*s(h). Calculate r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -31 (c) -0.2 (d) -755.1 (e) -0.5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 721578761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (2 + (4 - 12) + 51 - 10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(720) + -1)*3*-4 - (-2*(2 + sqrt(720)) + sqrt(720) - (6*-1*sqrt(720) - sqrt(720))))**2.\nAnswer: 3456*sqrt(5) + 233344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -3. Let t(k) = 7*k**2. Let n(j) = 36*j**2. Let l(h) = w*n(h) + 21*t(h). Factor l(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e368 + -b5?\nAnswer: e2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/3 and -55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 18 = 30*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283884 to the power of 1\/2, to the nearest integer?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 18 = 2. Let l(u) = -2*u + 2. Let j(y) be the first derivative of -y**2\/2 + 15. Determine i*l(m) - 3*j(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -612055 (base 8) to base 2.\nAnswer: -110001010000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.20813 months to years.\nAnswer: 11.8506775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5.82. Let m = x + -2.82. Which is the closest to 1\/7? (a) -1 (b) m (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 868\/(-16))*16. Let a be -2 - -1 - 494\/1. Let g = a + m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(90)\/sqrt(3))*-5 + (sqrt(750) + sqrt(750) + sqrt(750)*-1 + sqrt(750) - sqrt(30)))\/(-4*(sqrt(6) + sqrt(54))*-1).\nAnswer: 9*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 5, 4\/107, 38, -3 in descending order.\nAnswer: 38, 5, 4\/107, 0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -855.1 - -1011. Let r = -155.4 + l. Let n = -18 + 34. Which is the biggest value? (a) r (b) n (c) -0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1122? (a) -2\/11 (b) 0.4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiikiki. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54ad7 (base 14) to base 8.\nAnswer: -620625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7*q - 81 = -19*q, -23 = -4*d - 5*q. Let u be 3212\/(-21) - (-3)\/(-9). Let i = -153 - u. Sort d, i, 3\/11 in decreasing order.\nAnswer: i, 3\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**24*(i*((i\/(i**(-1\/23)*i))\/i)\/i)\/i*i*(i\/((i\/i**5)\/i*i))\/(i*i*(i*i**(-2\/19))\/i*i) assuming i is positive.\nAnswer: i**(-9549\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13443 + 34052. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 692 + 1616. Let i = p - 204. Let r(a) = 104 + 3*a**2 - i. Let b(j) = -3*j. Give r(b(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 75*s + 13. Let p(c) = -37*c - 6. Give 6*o(x) + 13*p(x).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 2*a - 2. Let l(x) = -2*x**2 - 2*x + 2. Give -7*l(s) - 6*u(s).\nAnswer: 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 2\/13, 0.2, 1\/3, -2\/3, 8.8, 337?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (sqrt(204) - sqrt(204)*-1)\/sqrt(12) - (sqrt(17) + sqrt(612) + -1))**2*-2.\nAnswer: -2178 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -13\/3*a**3 - 23*a**2 + 0*a - 77 + 0*a**4 - 1\/5*a**5. What is the second derivative of g(m) wrt m?\nAnswer: -12*m**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 4 - (64 - 1). Let v = 37 - s. Suppose -m + 6*m - v = 0. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 8*t**2 - 10*t - 9. Let k be m(-9). Let n = k - -2. Calculate the least common multiple of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3)*5 - (-18 + 77 + -65)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, 54, 13.7, 6, -3\/2, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + l. Let u be p(-1). Suppose -4*x - 17 = -j - u*j, -2*j + 3 = -x. Sort j, 2, 5.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11844 and 9.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5452128 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/3 + 96287*c\/3 = 0. Calculate c.\nAnswer: -96287, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1393461935*c**3 + 31369846.\nAnswer: 4180385805*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 - 184\/(-8) - (-2 + 11\/2). What is the fourth smallest value in w, -0.5, 1\/4, 2, 17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 304*c + 62. Let f be k(-12). Let b = 5853 + f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96406 and 590?\nAnswer: 482030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 3*u**2 - u - 2. Let k = -7 + 5. Let o be g(k). Which is the nearest to 1\/2? (a) -3 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 530*j = -534*j - 9904, -5*j + 39742 = 4*k. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6795*m**2 - 13440*m**2 + 6654*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33227712 divided by 4?\nAnswer: -8306928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 2*v**2 - v. Let c be p(-2). Suppose -40 = -6*a + c*a. What is the least common multiple of 29 and a?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -21 (c) 6.6327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (29 - 6) - -16) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3361 greater than or equal to -3370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 31\/411 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 69271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - 4\/(-12)*3. Let j(r) = -2*r**3 + 8*r**2 + 10*r - 3. Let w be j(d). Suppose -2*q = 3*q - w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 - -140. Suppose -c*q + 61 = -51. Suppose -2*i = q*i. Solve i = -5*n - 0*f - f - 26, 0 = -5*n - 3*f - 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94294, -188594, -282896, -377200, -471506?\n\"Answer: -i**2 - 94297*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -197413\/5 < -39482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -362171 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 + 25. Let d = i + 166. Factor 15*p - 54*p**2 - 8 + d*p**3 - 18*p**2 + 17.\nAnswer: 3*(p - 1)*(4*p - 3)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*g + 7, 2*g = -3*g - 5. What is the tens digit of u\/((-154)\/76 + -2 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-3)\/(-24))\/(-1*6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -72*n**3 - 32*n. Let u(z) = 11*z**3 + 5*z. Determine -5*o(r) - 32*u(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -59, -91, -141, -215, -319, -459?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000597 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*s**3 - 6*s**2 + 785*s - 7 wrt s?\nAnswer: -84*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z - 14. Let o(q) = -q - 1. Let i(v) = -12*o(v) + w(v). Let h(g) = 2*g. Give i(h(n)).\nAnswer: -20*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29548319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 136.4265l?\nAnswer: 136426.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -0.2194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24*(-64)\/24\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let l(y) be the first derivative of -13*y**2\/2 + y + 378. Determine -l(i) - 6*v(i).\nAnswer: 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-331)\/(-4) + 6 - (-3)\/(-4). Suppose 0 = 7*g - 17 - d. Solve 3*m + g = 0, -6 = 3*f + m + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzzzczrvmfmcccr. What is prob of picking 1 c, 2 z, and 1 r?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from {l: 2, y: 11, t: 6}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*2*(-3)\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*u - 114*u + 252. What is the highest common divisor of u and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15101647 by -16577.\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -288, 23, 3, 5, -122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197 = 107*j - 15*j - 275 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464006?\nAnswer: 2, 3, 17, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 33362970?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5*t - 2*r**4*t + 4*r**3*t**3 + 191*r**2*t**2 + 3*t**3 wrt r.\nAnswer: -120*r**2*t - 48*r*t + 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38962)\/1386 - 20\/(-18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4593, 4586, 4575, 4560, 4541?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(171)*-1 - sqrt(171) - sqrt(171))*-6)\/(-5*sqrt(27)\/sqrt(3)) + -2.\nAnswer: -18*sqrt(19)\/5 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 192 and 83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*p + 31*p + 23*p.\nAnswer: 107*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145342, 290874, 436792, 583288, 730554?\n\"Answer: 32*u**3 + u**2 + 145305*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56689 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003058874943 rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2925 and 9051705?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 203*f - 1259. Let j be s(22). Solve j*r - 6 = 3213*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -1.8. Let p = 0.15 + 0.29. Let l = p + -0.04. What is the nearest to -1\/3 in -2, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**9*p*p))\/(p\/(p*p*p**(1\/2)*p*p*p)) assuming p is positive.\nAnswer: p**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.87 - -0.13. Let w = 11 - 15. Sort w, j, 0.4 in ascending order.\nAnswer: w, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 m when four letters picked without replacement from {l: 7, m: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/105*3*((-15)\/(-90))\/(4\/(-18)).\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnod when four letters picked without replacement from {n: 1, b: 2, q: 3, o: 2, y: 2, d: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -0.5, 2, -0.1, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128920329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1115\/6, 1.4, 2\/5, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -1\/4, 4\/9, 0.4, -166, 12.6, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2969 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvnhulh. Give prob of picking 1 l and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 54113?\nAnswer: 54116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) - (-1 - (-21)\/(-70) - -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 + 131*b - 11147. Let f(n) = -3*n**2. Determine x(f(c)).\nAnswer: -54*c**4 - 393*c**2 - 11147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*((-4)\/(-4))\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n + 9*n - 3*n)*(5 + 1 - 7)*(-n - n + 0*n).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1*sqrt(17)*-1)**2 - sqrt(170)\/(sqrt(40)\/sqrt(4)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 4*h**2 - 2*h**2 - 1212*h - 2.\nAnswer: 6*h**2 - 1212*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 289, -2.6 in descending order.\nAnswer: 289, 4, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1438*o + 287*o**3 + 1443*o - 2880*o as y*o + a + m*o**3 + x*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 12*g - 63. Give t(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let d = -0.26 - -0.16. What is the third smallest value in -5, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17468897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5334 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1257*s + 2426. Calculate a(-2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccbc when four letters picked without replacement from nnscspb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -825*m**6 - 2*m**3 - 509*m**2 - 2 wrt m.\nAnswer: -99000*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 15 - 25. Suppose -2*f = s, f + 6 = q*s - 38. Solve -3*y + s*y - 3*w - 31 = 0, -3*y - w = -13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5650 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 31. Let p = d - -21. What is the least common multiple of p and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 - 226. Solve 2*j + 2*v = 4, -a*v - 2*v = -3*j + 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + (-3)\/(-6)*-2. Suppose 2*r - 4*n - 4 = -16, -5*n + y = -r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/12 + (-23)\/4. Let t be 3*(-4)\/(-30)*z. What are the prime factors of t\/(-5) - (-476)\/35?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1 + 3*2*sqrt(112) - (-6*2*sqrt(112) + (-1 + (sqrt(112) - sqrt(112)*-2) - sqrt(112)))) + 2)*-2)**2.\nAnswer: 73728*sqrt(7) + 4131072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 68 in decreasing order.\nAnswer: 68, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = -j - 5, -32 = -5*j + v. What is the remainder when (-4)\/(-14) - (-276)\/14 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*v + 727*v + 869*v = 1081 - 7281 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -53, -57, -63, -71, -81, -93?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 8*x**2 + 6*x - 7. Let u be z(-7). Solve u = -k + 1 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11935709 + m + 11935996 - 26*m as s*m + o and give o.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(25\/4)*w*w))\/w)**(2\/73))**(6\/7) assuming w is positive.\nAnswer: w**(-87\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Suppose 4*s - 7 - 1 = 0. Let g(i) = -i**3 - i**2 + 7*i + 5. Let j be g(-3). Let u(m) = j + 2 + 4 - 7. What is s*u(w) - l(w)?\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*o**2 - 853190*o - 36696.\nAnswer: -2*(o + 4587)*(93*o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 3*m + 2. Let i be s(-2). Let o = 0.1 - 0.5. Let y = o + 4.4. Which is the nearest to -0.1? (a) y (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73159 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3650 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 11*m + 16. Let g(y) = -y**2 + 11*y + 18. Let p(h) = 4*b(h) - 5*g(h). Factor p(n).\nAnswer: (n - 13)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 6:50 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/251 or 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/7 + 186370*i\/7 + 8683444225\/7 = 0.\nAnswer: -93185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 2, -226, 3, -3 in ascending order.\nAnswer: -226, -3, -1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(3*(-5)\/30). Suppose h*a = 4*a - 12. What is the closest to a in 0.3, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5896*d = -5901*d - 3*c + 25, 5*c = -16*d + 80 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392970.7 micrometers to centimeters.\nAnswer: 39.29707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b - 64*b - 7*b**3 + 2*b**3 + 31*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -17*w**4\/8 + 373*w**3\/6 - 2035*w**2\/4 - 121*w\/2 - 360. Factor r(a).\nAnswer: -(a - 11)**2*(17*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2278*z. Let o(b) = -2*b. Determine y(o(g)).\nAnswer: -4556*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -52502*d. Let c(o) = 12*o. What is c(y(j))?\nAnswer: -630024*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(2*a - 2*a - a)*(-258*a**3 - 765*a**3 + 496*a**3).\nAnswer: -527*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 319987357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + -1 + -196 + 203.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-90) + 260\/(-234))*6\/(-168)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 2*z + 3. Give q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 238*h**2 - 10*h - 25. Is c(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.6. Let g = 0.35 + -0.4. Let n = g - -0.25. Which is the third biggest value? (a) 4\/9 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 + 4 - 1)*((1 + 1 - 4)*(1 + 2 + 0) + (1 - 3 + 0)*(-3 + 0 + 5) + 13 - 140 - 16).\nAnswer: -153*o - 459","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -24*f**2. Let l(u) = -4*u**2 - 426*u + 220. Determine l(c(n)).\nAnswer: -2304*n**4 + 10224*n**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1594.51 + 1585. What is s rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2. Let k(n) = -18 - 5*n - n**2 + 2*n**2 + 20. Let x be k(5). Put y, x, -4 in descending order.\nAnswer: x, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-21) + (-1375)\/4235 + (-18)\/22. Which is the nearest to 2\/11? (a) 0.4 (b) 1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*c = 2*w - 29, -w - 2*c + 8 = 0. Suppose 10*x - w*x + y = 179, -4*y - 208 = -5*x. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 2*z**2 + 3. Let t = -15 - -19. Suppose 0 = -t*q - 8. Let l be j(q). Calculate the highest common divisor of 33 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -557 + 554. Let f be 9\/(-12) + (-2)\/8. Which is the third biggest value? (a) i (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45744 and 653712?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - 3*c)*(6 - 3 - 2) - 5*c + 9*c + 3*c + 3*c - 5*c - 5*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 60228597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2111102021?\nAnswer: -2111102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - 8 - (219 + (-380 - -229)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 13 = 10*m - 49 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182213976 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(65)\/sqrt(5)) + 2 - (sqrt(52)\/(2*sqrt(4)) + sqrt(13))) + 5 + sqrt(208) + -3.\nAnswer: 4 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 + 3*h. Let g be l(4). Let x be g\/12 - (-4)\/3. Is x\/(-2 - 54\/(-26)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207.18 - 212. Let k = 209.82 + b. Let u = k - 194.9. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9504, -9505, -9506, -9507, -9508?\nAnswer: -9509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -8, 1, -0.0357 in descending order.\nAnswer: 3, 1, 0.2, -0.0357, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193\/2*y**2 + 0 + 1\/2*y**3 + 0*y = 0 for y.\nAnswer: 0, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 3*v = -81, -105*i - 37 = -36*i - 37*i - 30*i - 3*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 990719.6 nanometers in centimeters?\nAnswer: 0.09907196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 - 12*a**3 - 33*a**3.\nAnswer: -56*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.217*-5270322.\nAnswer: -1143659.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, q: 5}. Give prob of sequence mmmq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4046 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*r - 5 = 0, 2*v - 10 = -5*r + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5028, -10058, -15088, -20118, -25148, -30178?\n\"Answer: -5030*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itba when four letters picked without replacement from ibmmtiainbb.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 239. Let u = 18 - 13. Suppose 2*y = -u*r + 8, -r + 3*y - 12 = 3*r. Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**2 - 372*y + 1846. Let o be u(5). Let w(k) = 47*k**3 + 3*k**2 - 2*k. Let l be w(1). Calculate the highest common factor of o and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548645538 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*r + 427 - 1714 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/20 + 7*a**4\/12 + 5*a**2\/2 - 4*a. Let x be s(7). Solve 10 = -5*r - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 23*d**2 + 3*d - 35. Let w be v(23). What is the greatest common factor of 68 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3182602 is divided by 1483.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**5\/100 - 3*j**4\/10 + 6*j**3\/5 - 12*j**2\/5 - 3*j. Factor d(a).\nAnswer: 3*(a - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(65) - 6*(sqrt(65) - (sqrt(65) - sqrt(65)*-1)))\/sqrt(5)*-2.\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17467475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -5 + (-5 - -11). Suppose 4*l + 5*k - 1023 = 0, 2*l + 4*k - 1028 = -z*l. Suppose -u + l = -5*c, 4*c = -8*u + 3*u + 1281. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1862 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + 86*b - 358. Let j(t) = -29*t**2 - 352*t + 1431. Let x(z) = -2*j(z) - 9*p(z). Let x(l) = 0. Calculate l.\nAnswer: -18, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 5:28 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 405810 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12802 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.94 - 0.06. Let u = -6\/19 + 97\/247. Let k = -10\/39 - u. Which is the closest to k? (a) w (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/9)\/((-80)\/(-48))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(60)\/(2*sqrt(300)).\nAnswer: sqrt(5)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 246899 - 75314 = 0. What are the prime factors of j?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 495\/731 - -67\/43. Calculate the common denominator of m and -13\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8128, 29745, 64846, 113431?\nAnswer: 175500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5780 is divided by 642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144110633 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -3 (c) 0.5 (d) -7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -1658*t**4 + 535530*t**3 + 3238171*t**2\/2 + 1220046*t + 2934 = 0.\nAnswer: -3\/2, -2\/829, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.946 + -7.054. Put 3, j, 0.6 in decreasing order.\nAnswer: 3, 0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 28*o - 138. Let l be g(5). Solve -5*v - 30 = -5*c, -l*c + 2*v - v + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*j + 2)*(5 - 3 - 3) - 6*j - 2*j + 6*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*b + 4, 0*o = o - b - 7. Solve 0 = -x - o - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -180\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.59091 + 5.59091. Let n = 2\/161 + -348\/2093. Let i = -6\/29 + 148\/435. Which is the third biggest value? (a) u (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 2436 = 452*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j - 107*j - 48*j - 1000 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0 - 3\/20*y**5 + 3*y**2 - 1\/120*y**6 + 0*y + 5\/24*y**4 + 7\/6*y**3. What are the prime factors of r(-10)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and 220\/99*24\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n**2 + 3*n - 5. Let d(v) = -v. Let s be d(6). Let g(x) = -13*x**2 - 4*x + 6. Let f(y) = s*z(y) - 5*g(y). Find the second derivative of f(j) wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/5)*s\/((s\/s**(-6))\/s)*(s**1)**15*((s\/(s\/(s*s**(-4))))\/(s**4\/s*s))\/(s**5*s**(-2\/15)*s) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-3\/5))\/n*n*n)**6\/(((n**(-2\/11)*n*n)\/n)\/(n**(-16)*n)))**(-2\/9) assuming n is positive.\nAnswer: n**(272\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = h + 4*h + 15, 2*h + 6 = 5*o. Suppose -228 = -60*w + 72. Solve i + w*y + 22 = o, 4*i = -i + 3*y + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/522 and -38\/63.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-4))\/c**(3\/5)*(c*(c*c\/(c**(-2\/3)*c))\/c*c)**(7\/8) assuming c is positive.\nAnswer: c**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/5)\/k)\/k*k\/((k\/(k\/k**(-4\/7)))\/k)*k)\/(((k\/(k**1\/k)*k)\/k)\/k**(3\/7))*(k*k*k**(2\/3)*k)**25\/(k**(1\/2)*k**(-1)) assuming k is positive.\nAnswer: k**(2771\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 j when three letters picked without replacement from {x: 1, s: 10, j: 3, y: 1, v: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 16*d + 15*d. Let g be d\/1 - (518\/20)\/7. Which is the third biggest value? (a) g (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y - 119*y + 90 = 18*i, 3*i = -4*y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 11. Let x(r) be the first derivative of 4*r**2 + 6709. Calculate x(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353 or 1413\/4?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, z: 5, g: 4, a: 2, k: 2}. Give prob of sequence kaz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 27 + 87. List the prime factors of 2\/a - (-159)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3211 + 1605 + 2842*j + 1606)*((2*j**2 - 2*j**2 + 2*j**2)*(3 - 3 + 2) + 4*j**2 - 4*j**2 - j**2) in the form a*j**3 + f*j + q + p*j**2 and give a.\nAnswer: 8526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*d - 254*d + 3 = -2*r, 6 = -2*d - 3*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 3*p**2 + 3*p - 2. Let s be x(-4). Let q(z) = -4*z**2 + 2*z + 1. Let m(o) = 3*o**2 - o. Let h(b) = s*q(b) + 3*m(b). Determine h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -15192?\nAnswer: 1\/3798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 9. Suppose 14*m - 8 = 16*m. Suppose -4*v - 8 = 4*b, 0 = -5*b + 2*v + 3 + 15. Let f(i) = 4 + 0 + b*i + 4. Give m*f(u) - 3*q(u).\nAnswer: u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1482 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5494084 divided by -6.\nAnswer: -2747042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975, 1951, 2925, 3897, 4867, 5835?\nAnswer: 6801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 160 - 144 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.55 + -13.45. Which is the closest to p? (a) -5 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*y - 202*y + 540*y + 241*y.\nAnswer: 792*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/9*(-1)\/((-14)\/(-336)*80).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**3*y**2 - 71*u**3 + 20*u**2*y**3 wrt y?\nAnswer: 4*u**3*y + 60*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 308459 - 196179. What is f rounded to the nearest one thousand?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 9*z**3)*(-7 + 5 - 3).\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10) + 0)\/((-14)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2827, 3 in descending order.\nAnswer: 2827, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.372 times -0.1\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrvrv. What is prob of sequence rrr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162 + 484\/3. Let v = -1366\/9 - -152. Let o = 1.7 + -2. What is the closest to -0.1 in j, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -55\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*z - 35 + 35)*(58*z + 41*z - 86*z).\nAnswer: -260*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45147 divided by -15049.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 18. Let z be g(-9). Let d = 2 - z. Let q(l) = -3*l - 10*l**2 + 7*l**d + 3*l. Let x(s) = -6*s. What is x(q(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 21*p**3 - 2*p**2 + 2*p - 1. Let k be y(1). Suppose 15 = -368*b + 369*b. Suppose k*g - b*g = 200. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 646 = 2*q, v + 32*q - 212 = 28*q. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -2\/7, -0.5, 401, -2 in decreasing order.\nAnswer: 401, -2\/7, -0.5, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 3*h + 6 = 8*g, 8 = -5*g - 4*h. Suppose 6*l - 376 + 94 = g. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, 2\/13, -4.8 in decreasing order.\nAnswer: 2, 0.4, 2\/13, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 22 - (-66 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/35 + -3)\/(-33*24\/(-8580))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -12. Let p = 2 - -20. Suppose -p = -2*l - 2*o, l - g = -0*l - 4*o. What is the remainder when 22 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68320, 97004, 144810, 211738, 297788, 402960?\nAnswer: 527254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2459 - -3328. Calculate the remainder when 2619 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111077 + -2?\nAnswer: 111075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 63831500 to the nearest 100000.\nAnswer: 63800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2, 0 = -0*t - t - 3*z - 4. Let q = 241 + -3617\/15. What is the closest to t in q, 2, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13632574 rounded to the nearest 10000?\nAnswer: 13630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/(-3*(-7)\/63). Solve -4*c + 2*s + 4 = 0, -h = 5*c + 2*s - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/11 + 39543*i\/11 = 0. Calculate i.\nAnswer: 0, 39543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*26\/1. Let i = 30 - w. Suppose 4*o - 2*o = 12. What is the remainder when i is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 10 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -45. Suppose -o + 2 = -f*o. Suppose 0 = o*g - 6*g. What is the nearest to 0.13 in -0.4, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243)\/(-2*sqrt(9)))\/(sqrt(48) + sqrt(192)\/sqrt(4)))\/(-2*2*(sqrt(3)*2 + sqrt(3))*-2))**2.\nAnswer: 1\/49152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 + 1365*n**3 + 14850*n**2 - 537320*n - 1123200 = 0. What is n?\nAnswer: -260, -27, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7435990 (base 10) in base 11?\nAnswer: 4219851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 25*q**3 - 14*q**2 - 34*q + 64. Is s(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1455, -5, -0.5, -4 in ascending order.\nAnswer: -5, -4, -0.5, 1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**2 + 2*s + 6. Calculate the smallest common multiple of 14 and m(-3).\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxmdxddxxlldxoxonmd. What is prob of picking 2 m and 1 o?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-30))\/(395\/(-1975))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + (-1644)\/(-60))\/(8\/(-20))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k - 3. Suppose -3*f + 7 + 5 = 0. Suppose g - y = 10, 2*g - f*y - 22 = -y. Calculate the remainder when b(2) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.121039 to one decimal place.\nAnswer: -36.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - (6 - 1) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -248. Let o = j - -109. Are o and -8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/12)\/(16 - (4 + 5)). Let n(d) be the first derivative of -11 - a*d**4 + 2\/27*d**3 + 2\/9*d**2 + 0*d. Factor n(q).\nAnswer: -2*q*(q - 1)*(3*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1940 = 118*y - 170 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 433 - -bab?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.00152 - -33. Round s to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83755*0.3.\nAnswer: 25126.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9483352 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ses when three letters picked without replacement from eosseo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28152 by 4692.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 27 = 5*d, -3*d + 4 - 9 = -y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o**2 + 2*o + 2. Let d be v(7). Let f = d - -7146\/19. What is the closest to -1\/3 in -2\/7, 0, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6741a (base 11) in base 2?\nAnswer: 10111110110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - h + 2*h - 94 + 0*h.\nAnswer: h - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 12*l**5\/25 - 51*l**4\/20 + 24*l**3\/5 - 39*l**2\/10 + 6*l\/5 - 11. Solve m(q) = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1869 + -1554. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Suppose 3*w = g - 3 - 8, -3*g = -2*w - 5. Which is the closest to -4? (a) -0.5 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 12 = 0, -2*b - 313 + 127 = -4*i. Let g = i - 31. Let s be (-40)\/(-14) - (-2)\/g. Solve -5*k = s*m + 12, 6*k - k = 2*m - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) + -1 + sqrt(175) + sqrt(175)*2 + 5)**2 + ((sqrt(252)*2)\/((sqrt(48) + sqrt(432))\/sqrt(12)))**2.\nAnswer: 80*sqrt(7) + 11279\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/44627 and -65\/36513.\nAnswer: 401643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4776032 and 8.\nAnswer: 4776032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-3) + 42\/(-63). Suppose -n*g + 3*x + 0*x + 111 = 0, 2*x = -3*g + 186. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x + 33. Let f be j(-12). Let l = f - 117. Suppose 3*y - 15 - 132 = l. What is the greatest common factor of y and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113988 equal to -112272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44129, -177107, -398729, -708989, -1107881?\n\"Answer: r**3 - 44328*r**2 - r + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-15))\/4*-3. Let o = 1.1 + -1. Is o >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccncncnc. Give prob of sequence ccn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184795 is divided by 770.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/12*v**4 + 14*v**2 + 0*v**3 + 0*v + 0. Let h(r) = -7*r. What is h(i(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.81 - 29.81. Put 1, -232, 2, c, -6\/5 in descending order.\nAnswer: c, 2, 1, -6\/5, -232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101111001 (base 2) to base 10\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-264)*(-32)\/(-56)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19 - (2 + -2))\/((-298)\/(-596)). Solve -8*a - w = -54 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 6*l**2 + 7*l + 7. Let w be n(6). Let q be -1 - (14\/w - (-5)\/7). Which is the closest to 1\/2? (a) q (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2985 and 690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 15, -148 in increasing order.\nAnswer: -148, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203 by -29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 6*w - 13)*(2 - 2 + 2*w).\nAnswer: -12*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25891 and 2331253.98.\nAnswer: 2305362.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.936 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 35. Let a(k) = k**2 - 18. Let u(s) = -5*a(s) + 3*d(s). What is u(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**3 + 182*l**2 - 12031 wrt l?\nAnswer: -6*l**2 + 364*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1632 = -7*j + 11*j, 4*i - 5*j - 1641 = 0. What is the lowest common multiple of i and 2?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + sqrt(360)*-1*1 + sqrt(360) + sqrt(360) + sqrt(360))\/sqrt(12))\/(-5*(-1*sqrt(6) - sqrt(6) - sqrt(6) - sqrt(6))*3) + -3.\nAnswer: -3 + sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 15*p + 26. Suppose 22*c - 6*c + 224 = 0. What is a(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1117743, -2235484, -3353225?\n\"Answer: -1117741*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66923*q**3 + 117*q**2 - 117*q**2 - 53870*q**3.\nAnswer: -120793*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*j = -110, -11*l + j - 59 = -8*l. Calculate the remainder when 1458\/14 - l\/(-126) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*57\/19. Suppose -23*q = 13 - 128. Suppose 5*w - 6 = 3*w. Solve l - 1 = w*i, 4*l - f = -q*i + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 94, -25, 72, 5, -5.2.\nAnswer: -25, -5.2, -4, 5, 72, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.16, 0.5.\nAnswer: -0.16, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204\/19 - 333\/38. Let q(a) = a**3 - a**2 + 186. Let w be q(0). Find the common denominator of h and w\/(-280) - 2\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36718321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2955?\nAnswer: 1\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -3\/4 (c) 1\/3 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 - 400*j**2 + 36553*j - 71514 = 0. What is j?\nAnswer: 2, 137, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1262112680 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 35 = -8. Let r(t) = -t**2 - 15*t - 36. Let g be r(-12). Suppose 23*y - 16*y - 14 = g. Solve -j + y = n, b = -4*j - n + 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*i + 0*i**2 + 0*i**3 - 29*i - 1 - 2*i**2 - 27*i - 6*i**3 + 2*i**4 in the form o*i**2 + g + t*i**3 + v*i + c*i**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 2 + 1)*-119. Let p = 104 - o. Is -17 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 + y**4\/24 - y**3\/3 - 57*y**2 - 38*y + 2. Let m(r) be the first derivative of w(r). Give m(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 46*m + 44. Calculate t(47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101110100110 (base 2) to base 11.\nAnswer: -8439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 744*y - 61. Determine s(0).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71.45503mg?\nAnswer: 0.07145503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14292491 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29, 4, -3, -1, -1901, -85 in decreasing order.\nAnswer: 29, 4, 0, -1, -3, -85, -1901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykk when three letters picked without replacement from {y: 6, k: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -114, -275, -490, -753, -1058?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, -6\/11.\nAnswer: -5, -6\/11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**6\/24 + 23*a**5\/60 - 5*a**4\/12 - 4*a**3\/3 - 1173*a**2 - 2. What is h in z(h) = 0?\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 - 13) - (-4 + 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 834043462 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 45. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*p**2 - 127187*p - 25203153 wrt p?\nAnswer: 140*p - 127187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73526?\nAnswer: 2, 97, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x, -14*h - 10 = -9*h + 3*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -142, -221, -342, -511?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) 0.1 (b) -0.01 (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8972025991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6783492734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 870\/(-87) - 136\/(-14). What is the third smallest value in b, 26, -0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41816426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8 + 24*g + 14*g - 3*g**3 - 6*g**2 + 4*g**3 - 36*g. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let x(w) = 8*w + 6. Let u(n) = -6*v(n) - x(n). Let y(h) be the first derivative of 2*h**3\/3 - 86. Give y(u(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffafafffafaafafa. What is prob of sequence aafa?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 275575568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -39\/4*s**2 - 3 + 3\/4*s**4 - 49\/4*s + 1\/4*s**3 = 0.\nAnswer: -3, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**4 - 549*f**3 - 6459*f**2 + 3366*f = 0 for f.\nAnswer: -11, 0, 1\/2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.03279, -4\/3, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -661 - -6611\/10. Let k(d) be the first derivative of 1\/5*d**2 + 2 - w*d**4 + 1\/25*d**5 + 0*d**3 - 1\/5*d. Factor k(h).\nAnswer: (h - 1)**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -600 + 11402\/19. Which is the second biggest value? (a) 2.7 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 317, 92, -1, 2 in descending order.\nAnswer: 317, 92, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1.2, 23, 2\/5, 5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -1500291.02.\nAnswer: -1500290.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3467\/99 - 343\/9. Let s = t + 32\/11. Suppose -7*h + 19 - 5 = 0. What is the nearest to -0.1 in h, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 7 - 21 - -19 - 22\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*l**3 - 2*l + 2*l + 479*l**3.\nAnswer: 282*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 256 - 758 + 253 + 249.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37724.13 days to hours.\nAnswer: 905379.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 469\/10 + -47 - (8\/(-100))\/(4\/3005).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.529732 hours to nanoseconds.\nAnswer: 12707035200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 - 45*w**2 + 22*w**2 - 90*w**2.\nAnswer: -101*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 4 - 8 + 12.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 24120212102?\nAnswer: 24120212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 730 = 49*l + 16*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3162, -1, -1\/6 in ascending order.\nAnswer: -1, -1\/6, 3162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 113 + 2*f + 111 - 224. Let g(r) = 2*r**2 - 12*r. Calculate g(n(y)).\nAnswer: 18*y**2 - 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 2*u)*(-1 + 2 + 0) + (-5 + 2 + 2)*(3*u - 6*u + u) + 3*u - 4*u - 8*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**5*g - 53*d**3*g**2 - 7*d**2*g + d**2 - 24*d*g**2 wrt d.\nAnswer: 360*d**2*g - 318*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 7906?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -6*v + 28*v + 545292000. Round v to the nearest 100000.\nAnswer: -24800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5))**(1\/31))**(2\/53) assuming z is positive.\nAnswer: z**(6\/8215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -66, -103, -142, -183, -226?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 14. What is m rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {d: 16, r: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78108164*p**5 + 350*p - 43217 wrt p.\nAnswer: -1562163280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12*m - 27. Let f be r(-9). Calculate the remainder when 47 is divided by 828\/f - 2\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427044.5 millennia to years.\nAnswer: 427044500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from kvvvkvkkkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 141 = -3*p, -4*d - 121 - 39 = -3*p. Is d at most -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 + -135. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126708 (base 12) to base 16.\nAnswer: 49a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 7:53 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213.9 + 231. Round h to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*n + 241, 0 = n - 2*h - h - 72. Suppose -l - 47 = -j, n + 2 = 2*j + 3*l. Let z = 50 + j. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632741.\nAnswer: 31, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 - 11477.8\nAnswer: -11477.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482001 is divided by 263?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**9\/504 - 2*f**7\/35 + f**6\/120 + 31*f**5\/10 - f**4\/4 + f**3\/6 - 265*f**2. Find the third derivative of v(s) wrt s.\nAnswer: -120*s**3 - 288*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173908 - -254585. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p. Let s(o) = -4*o**2 + 4*o - 1. Let b(f) = -3*j(f) - s(f). Let w = -141 - -146. Calculate b(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3 - 4. Let q = -3002 + 3003. Which is the closest to g? (a) q (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/385 and ((-1372)\/(-348) + -4)*(-13 + 9120\/700).\nAnswer: 33495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 11*g - 367. What is q(15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 131200?\nAnswer: 131201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-4))\/(-7))\/(22\/(-44))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1578977 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - t + 6. Let s(g) = 1. Calculate 3*s(p) - v(p).\nAnswer: p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4046*g - 88144 = 223398 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 273287471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120751 and -546.\nAnswer: -65930046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 143*p - 855. Let w be b(6). Is w > 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 4*t + 1921 = 0. Let s = -96 + t. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 27 = -3*r + 7*r, -4*r + l - 7 = 0. Let j(g) = 262*g - 264*g + 446 - 447. What is j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158\/53 + 1953\/424. Are r and -45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*h + 30, 5*c - 3*h - 1581 = -1672 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, c: 5, n: 3}. What is prob of sequence cacn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + -0.06. Which is the second biggest value? (a) s (b) -1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let v(i) = 4*i**3 + 4*i**2 + 3*i - 3. Let o(j) = -4*b(j) - v(j). Let f(w) = w**3 + w - 1. Give -12*f(c) - 4*o(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 101 = -171. Let g = s - -206\/3. Suppose 9 = -4*h + 1. Which is the nearest to 0? (a) 0.4 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304678 (base 11) to base 6\nAnswer: 14253120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(-30) + (44\/15)\/(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:14 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**5\/20 - 21*z**4\/4 - 185*z**3\/2 - 958*z**2. What is y in a(y) = 0?\nAnswer: -37, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q - y + 2, -5*y - 10 = 0. Let x(n) be the second derivative of 1\/6*n**3 + 0 - q*n + n**2. Differentiate x(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*r**3 - 2*r**2 + 0 + 0*r = 0 for r.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.3800021 rounded to zero decimal places?\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34828258 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/3 + 70*z\/3 - 148\/3 = 0?\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021131001 (base 4) to base 13.\nAnswer: a6c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*w, 2 + 30 = 4*j + 4*w. Let f be ((-2)\/1 - -5)\/((-4)\/j). List the prime factors of (-183)\/f - 3\/27*3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 3*s + 5. Give w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.26 - -0.26. Let d = y - -17. Let q = d - 7.1. Round q to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83529381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttddtkxvxvdkd. Give prob of picking 1 d and 2 t.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 5*d - 29, 0 = 2*v - 2*d + 91 - 89 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250) + -4*(sqrt(1250) + -1*sqrt(1250)) + -2*1*sqrt(1250))\/(sqrt(1210)*3 + (sqrt(10) - -4*sqrt(490))))**2.\nAnswer: 125\/3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10644?\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h - 12 = 0. Suppose -5*g - h*r = -15 - 12, 3*g - 5*r = -6. Differentiate 6*p**2 + 3 + g*p**2 - 7*p**2 + 2*p**2 wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9861, 19749, 29639, 39531?\nAnswer: 49425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 543769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(6*d + d - 5*d) - 24 - 140*d + 26 - 345*d + 2293*d.\nAnswer: 1810*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 1\/10, -1\/4, -2848, 0.24 in ascending order.\nAnswer: -2848, -1\/4, 1\/10, 0.24, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-3))\/(((-176)\/(-231))\/(-8)). Which is smaller: u or 16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrrrvr. What is prob of sequence rrvr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/120 + r**3\/3 + 2*r**2. Let l(d) = -d**3 + 11*d**2 - 25*d + 152. Let h be l(10). Let m be 12\/h*60\/120. What is t(m)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -36. Let m = i + 22. What is the remainder when 19 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -1, -176, 3\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4141*c - 546606. What is g(132)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 44172004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -7, -6\/13, -3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*b**4 + 15*b**4 + 12*b**4)*(-1 - 1 + 0) in the form i*b**3 + q*b**2 + k*b + c + h*b**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -211210002100 (base 3) in base 12?\nAnswer: -1975a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(76)*2*5 - (-2*sqrt(76)*5 + sqrt(76))))\/(1*(sqrt(144) - (-1*(-2*sqrt(144) - sqrt(144)) - sqrt(144)))))**2.\nAnswer: 6859\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 15*w + 30. Let l be o(13). Let v(y) = 7*y**3 - y**2 - 7*y + 9. What is the units digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 - 5*z**2 - z. Let h(p) = 4*p**2 - p - 10 - 3*p**2 + 10. Let x(y) = -5*h(y) - s(y). What is the second derivative of x(d) wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2\/17 + 8484*q\/17 - 1875744\/17 = 0.\nAnswer: 234, 4008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z. Let d(n) = 818*n**2 - 840. Determine d(r(i)).\nAnswer: 13088*i**2 - 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(176) - (sqrt(176) + -1)) + sqrt(176))**2 + sqrt(11) + sqrt(33)\/sqrt(3) + 0 + sqrt(220)\/sqrt(5).\nAnswer: -20*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 42*g**2 - 208*g + 168.\nAnswer: -2*(g - 14)*(g - 6)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - -1) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/82401 and -99\/10?\nAnswer: 824010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13092*t**2 + 6548*t**2 + 6548*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*h + 102*h = -2*v + 122, 5*v = -h + 71. What is the remainder when 168 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24879 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p. Let c be m(1). Let q(k) = k**2 - k + 1. Let g(i) = 8*i**2 + 2 - 6*i**2 + i**3 + 0 - 2*i. Give c*q(z) + g(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 2, f: 2, z: 6, d: 1, o: 1}. What is prob of sequence wdf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -4\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - 34 - -18 - 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.4. Let s = -0.0109 + 10.0109. Which is the second smallest value? (a) 4\/9 (b) g (c) s (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57626\/4265 less than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 v when four letters picked without replacement from {p: 5, s: 4, k: 3, v: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8.381, 2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*88\/(-33)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -66.33443?\nAnswer: -199.00329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 7*b + 32. Suppose t + 52 = 62. Let v be h(t). Is v equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -2\/9, 5\/3, 1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -88*h**2 + 4*h - 4. Let r(v) = 89*v**2 - 5*v + 5. Determine 4*p(s) + 3*r(s).\nAnswer: -85*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 17 = -2*x, 3*x + 55 = 5*d + 56. Put 5, x, 61 in descending order.\nAnswer: 61, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0*z - 57 = 10*m - m - 5*z + 12*z, 7*z + 42 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-32) - (-1 - -1). Is b <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17014326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.7. Suppose 5*f = 36 + 29. Suppose f*i = 5*i + 8. Which is the nearest to i? (a) r (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 8*k + 7. What is y(-8)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1054 - 1020.88. Let s = x - 28. Round s to 1 dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-4)\/(-14))\/((-1)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3. Let p(a) = 4*a - 14. Determine p(d) - 6*y(d).\nAnswer: 4*d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 - 230. Let m = 54 - -22. Let b = m + c. Is b not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*f + 21, s - 3*f + 87 = 102 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*a + l, -10315545*l = -9*a - 10315550*l + 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 18, -4, -204 in decreasing order.\nAnswer: 18, 2, -4, -5, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3. Sort 5, -4, c in decreasing order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.28 - -0.08. Round i to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:45 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1318\/7 - -188. What is the closest to -2\/9 in y, -2, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 40*m**3 - 38025*m**2 + 2645735*m + 997500 = 0.\nAnswer: -3\/8, 76, 875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82205 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 128172, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9122 and 14?\nAnswer: 63854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2240) + (sqrt(2240) - 1*sqrt(2240)))\/((-4*sqrt(56))\/((-1*sqrt(18))\/sqrt(9))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -5.9.\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12 and -103\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = 27. Suppose -j*p + 272 = -964. Let q(b) = 3*b**3 + p*b - 206*b. Let h(x) = -6*x**3. What is -6*h(v) - 13*q(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.072 + -0.005. Let z = 0.232 + k. What is z rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 + 218205204489.\nAnswer: 218205204487.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6817, 0, -5, -37 in descending order.\nAnswer: 0, -5, -37, -6817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = s, 0*s - 20 = 5*s. Suppose -x = -2*k, -4*l + 2*k + 64 = -36. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2380 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d**5\/7 - 4*d**4\/7 + 20*d**3\/7 - 8*d**2\/7 = 0. Calculate d.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/((b\/b**(3\/4))\/b*b)*b)*b)**43*(b*b**(-3))**3 assuming b is positive.\nAnswer: b**(-153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 25650380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 1 - 3. Solve s + s = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -x + 2*x - 29, -5*x - 11 = -3*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4554272?\nAnswer: 2, 31, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -10*y + 45 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-3) - (-1)\/3. What is the second derivative of 2*f**2 + 3*f**2 - 8*f + u*f**2 + f**2 wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351957 is divided by 175889.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43004854 by -67831.\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1599.4579066 from -12.\nAnswer: -1611.4579066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 80, 208, 444, 824?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -t + 15. Solve 0 = z - 4*p + 13, z - t*p = -4*p - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3374*f - 6742*f + 1 + 3369*f. Let x(h) = 6*h + 8. Determine 4*d(q) - x(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 (base 4) in base 12?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.873 * 684\nAnswer: -1281.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*j + 57 = 0, -4*l + j - 79 = -0*l. Let o = 86 + l. Calculate the highest common factor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*y - 33, -y - 4*y - 21 = 2*b. Let p be (1 - -2)*b\/3. Suppose 18 = 2*m - 0*k - k, -m = -4*k - p. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/12 - 23*f**3\/6 - 178*f**2 - 2. Calculate r(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.755 rounded to 2 decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.160702, -1.1, 0, 0.05?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - g**2 - g + 1. Let p be w(1). Suppose 0 = p*x - 55 - 5. What is the remainder when 35 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3 + 173*i**2 + 7460*i + 58300 = 0?\nAnswer: -110, -53, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 1. Let n(w) = 2*w**2 - 5*w. Give -4*a(i) + n(i).\nAnswer: -2*i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -27) + 3150\/195.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1*(-3 - -2). Suppose -m*f + 37 = -7*f - 5*r, 2*r = -5*f - 30. Let g = -2 - f. Solve 0 = g*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 1. Let p(u) = u - 1. Let b(x) = -d(x) + 5*p(x). Let q be b(7). Suppose 9 = y - q. What is the lowest common multiple of y and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 632 and -0.5.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u + 6 - 6)*(5 - 1 - 2) + 3 - 3 - u)*(2*u + 0*u + 0*u).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -259*p - 7643. What is v(-32)?\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 6.\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + -147. Let p(c) = -9*c**2 + 16*c - 41. Let n(q) = 10*q**2 - 17*q + 40. Let s(w) = z*n(w) - 6*p(w). List the prime factors of s(7).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-2 - -3)*-47801. Let u = l + 71641. Suppose 30158 + u = 5*p. Round p to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(80) + 1 + sqrt(80))**2 - ((sqrt(80) - (0 + sqrt(80)))**2 + -3) - (sqrt(3645) + 6*-2*sqrt(3645) + sqrt(3645))**2.\nAnswer: -364180 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8 + n**3 - 15*n - 14 - 19 + 717*n**2 - 4 - 707*n**2. What is z(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 409\/4 + 9\/(-60)*-5. Suppose -5*a + s = 450 + 135, 3*s - j = a. Let m = -79 - a. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337886009?\nAnswer: 337886009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9117843.3 and 0.04?\nAnswer: 364713.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 0, -3*a - 2*a - 5*d = -20. Solve -a*z - 2 = -2*l, z + 5*l + 2 = -10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302145253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(57)\/(5*1*sqrt(3)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1888 = 4*h - 2*u + 3*u, 5*u = 3*h - 1393. Let z = -238 + h. What are the prime factors of z?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51, -70, -87, -96, -91?\n\"Answer: n**3 - 5*n**2 - 11*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3 + p**3 + 5*p**2 - 4*p - 2*p**3 - p + 9. Let z be w(4). Solve -3*j + c = -12, -z*c = -j + 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*h**2 + 179 - 101 - 77 + 2*h**3 + 242*h**2.\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12014)\/(-38) + (-102)\/646 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 + 71 - 12*i**2 + 17*i**2 - 65 - 3*i. Let a(l) = 2*l**2 + l - 2. Let x(k) = -k + 2. Let o be x(-6). Give o*a(n) + 3*r(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 119*13\/364*4. Sort 2, 3, o in descending order.\nAnswer: o, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**6\/15 - 7*m**4\/6 + 2*m**3 - 7*m + 6. Factor k(x).\nAnswer: 2*x*(x - 2)*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 0*v + 76 = 0. Is (v\/(-6)*-3)\/((-2)\/(-1187)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -108, 172, -3, 2 in ascending order.\nAnswer: -108, -5, -3, 2, 5, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15911 is divided by 1446.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -743*m**3*w**2 + 12*m**2 - 36*w**2 wrt m?\nAnswer: -4458*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462955194 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -j - 3*u + 23, -24 = -2*j - 2*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15337 (base 9) to base 8.\nAnswer: 24363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) -4\/9 (c) -4 (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2767356 + -4089056. Round l to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -15 + 49 - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13800a (base 13) to base 7\nAnswer: 4014364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(3 + (sqrt(425) + (sqrt(425) - (sqrt(425) + 1)))*-4 + -2*-5*sqrt(425) + sqrt(425) + -2))**2.\nAnswer: 140000*sqrt(17) + 8340000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07753366 + 47.8?\nAnswer: 47.87753366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*a)*(20 - 368*a + 25 - 45).\nAnswer: -736*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405735483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 492 - -486308. Round j to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/11 + (-46)\/(-11). Suppose 6 = m*r - 2*r. Factor -j + j**r - 1\/2 + 0*j**2 + 1\/2*j**4.\nAnswer: (j - 1)*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -363 - -363. What is the closest to i in 0.3, 14, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2202, -8880, -20008, -35586, -55614, -80092, -109020?\nAnswer: -142398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 1)*(-1 + 23 - 20185*u - 26 + 2 + 2) as c + l*u and give l.\nAnswer: 60555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - (-24)\/10. Suppose -2*i = 3*j - 6*j - 15, 0 = -2*i - l*j. Let x be ((-4)\/5)\/((-1)\/5). Solve 0 = -4*a + i*k - 9 - 26, -3*a - x*k = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*t = t + 21, -2*f - t = -26. Solve -32 + f = 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -7. Let g(z) = z**3 + 39*z**2 + 74*z - 4. Let y be g(-37). Calculate the remainder when 9*(68\/h + y) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = 3*m, h + 6 = 2*h + 4*m. Let g(t) = 38 - 11 - t**h - 9 - 18. Let p(d) be the second derivative of 13*d**4\/12 + d. What is p(g(l))?\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34765, 37180, 41205, 46840?\n\"Answer: 805*y**2 + 33960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 - 136*r**2 - 45*r + 77. Is 88 a factor of h(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607977?\nAnswer: 3, 43, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21644 is divided by 7204.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 62*q + 1 + 5*q**2 + 128*q - 70*q. Let m be x(4). Which is the smallest value? (a) -1 (b) 1\/5 (c) m (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35346 and 35346.\nAnswer: 35346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -35 + 21 + 16 + (3 - 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 0, -20 = 5*y + 104*g - 99*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -15. Suppose -5*n - u*n = -50. Suppose -5*o + 495 = -n*a, 3*o = a + 3*a + 297. Calculate the remainder when o is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 4*f**2 - 1. Let h be t(-3). Suppose -p + h = 3*p. Suppose 0 = -0*o - 4*o + p*y - 4, 5*o + y + 19 = 0. Put o, -4, -1 in increasing order.\nAnswer: -4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-36) - 2\/9. Let m = -5.5 - -5. Let i = 0.3 + m. Which is the closest to v? (a) 1 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 17. Suppose -v + 0*v + 9 = 0. Calculate the remainder when v is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27584 by 55.\nAnswer: 27584\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 508129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 9*l**2 + 9*l + 11. Let h be z(-8). Let r = 393\/10 + -519\/10. Let n = r - -187\/15. What is the nearest to 16 in 5, h, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 10. Let x(i) = i + 7. Let h be x(-5). Suppose -4*z + 20 = -0*z + 5*g, z - h*g = 18. Calculate the greatest common divisor of s and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51048, -102096, -153136, -204162, -255168, -306148, -357096, -408006?\n\"Answer: f**3 - 2*f**2 - 51049*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5034033 to the nearest integer?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*y + 805*y = -3*u + 7, 20 = 4*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -34242155*i. Let j(t) = 4*t**2. What is j(g(m))?\nAnswer: 4690100716176100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167 and 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 81 - 27. Calculate the smallest common multiple of u and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-55)*110\/(-20)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*k - 88, -2*a - 28 = -3*a + 4*k. Suppose 5*n + 16 = 5*f - 4, a = 2*f + n. Suppose 0 = f*v - 13298 + 106. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7999*u + 17599*u - 6324*u - 8285*u to the form m*u + n and give m.\nAnswer: -5009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-9))\/20)\/((-189)\/108).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 - 164. Let f(b) = -2*b**2 + 2*b + 8. Let o(d) = 3*d**2 - 2*d - 14. Let w(g) = j*o(g) + 5*f(g). What is w(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1449*y + 7182 = 1071*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760474 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*s**2 + 710*s**2 + 715*s**2 - 2866*s**2 + 721*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -31133817*q**2. Let x(r) = -r. Calculate u(x(k)).\nAnswer: -31133817*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = a - 4*a, 4*z - 21 = 9*a - 12*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*v - 5, -21929*v + 21934*v - 8*s = 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 + -3)\/(1 + -2))\/(-2). Suppose r = -k + 5*k - 264. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by -85?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 7*z**4\/30 - 4*z**3\/45 - 28*z**2\/15 + 16*z\/15 + 1227. Solve k(p) = 0 for p.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2431122232 (base 5) to base 12\nAnswer: -1b00216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1052 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 3\/(-3) - -2. Suppose 8 = r*j + 2*j. What is the remainder when (-26)\/(-8) - 2\/8 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.418 < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 2*g - 2*g + (3 + 2*g - 3)*(-g**2 + 1 - 1) + (2*g**2 + 6*g - 6*g)*(-g + 3 - 3).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-20)*((-3)\/(-8))\/((-5)\/(-5)*-3)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2314 is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 276551 = -3*r, -4*r = -20 - 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0588 and -56808.\nAnswer: 3340.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639517474?\nAnswer: 2, 319758737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from fffpfp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 33*r**2 + 212*r - 1231. Determine d(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1829 and 999696.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 6*h - 10. Let v be b(5). Let s(o) = -o**2 + 12*o - 8. Determine s(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3*u**2 + 5*t**3*u - 2*t**3 + 207*t*u - 1301*u**4 wrt u.\nAnswer: -4*t**3 - 15612*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 23 = 4*q, p + 2*p + 1 = -2*q. Suppose -m + 949 = p*g, -m + 0*m = -g + 323. List the prime factors of g.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -73. What is the smallest common multiple of 21 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-65))\/(5115\/(-8866)))\/((-4)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.155 + -0.15499956. Round s to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 207*t - 22579 + 2161 = 21*t for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2573120 divided by -514624?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3)*-1*51. Calculate the remainder when 49 is divided by (a\/2 + -2)*22\/11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12441*k + 2*k**4 + k**2 + 5*k**3 - 4*k**3 - 49 - k**3 + 12437*k as n*k**2 + f*k + q*k**4 + a + m*k**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*r + 150, -7*h + 6*h + 48 = -7*r. Calculate the greatest common divisor of h and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y + 3*c - 299985, -3*y + 4*c + 180020 = 0. What is y rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/3)\/(280\/(-360)). Find the third derivative of 172*k**6 + 49*k**5 - 42*k**2 + 0*k**u + 0*k**3 - 2 - 49*k**5 wrt k.\nAnswer: 20640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 2, 125, 41 in ascending order.\nAnswer: -8, -3, 2, 41, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/(i\/(i\/i**5)*i))\/(i\/(i*i**2)*i**(-3)\/i)*i**0*i**4\/i*i\/i**(-3)*i**(-1\/3) assuming i is positive.\nAnswer: i**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m**3 + 4*m**2 - 3*m - 12. Let t(d) = 7*d**3 - 3*d**2 + 2*d + 8. Let c(l) = -5*f(l) - 8*t(l). What are the prime factors of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -3*n**4\/4 - 451*n**2 + 5. Let y(p) = 3*p**2. Determine c(y(z)).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1492)\/((-3 + (-7)\/(-2))\/(-1)).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/28)\/(12\/(-28)))\/(2\/21)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319717 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26136281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31562 is divided by 3090.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15811\/1467 + 144\/(-84)*7.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.62 + -0.79. Let g = -0.8 + k. Let h = -0.0372 + g. What is h rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1071 + 0?\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211007 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(1*2*(-3)\/(-6)). Put w, -3, 0 in decreasing order.\nAnswer: w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34388256?\nAnswer: 2, 3, 7, 73, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r**5 + 20127410*r**4 + 12076465*r**3 - 8050970*r**2 = 0. Calculate r.\nAnswer: -1, 0, 2\/5, 805097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3028066 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*t + 47826 + 6110, 4*x - 5*t = 107878. List the prime factors of x.\nAnswer: 53, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 11:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 1a15?\nAnswer: -1a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*2*(-2)\/44\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956761 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1111 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f**2 - 67 - 63 + 128)*(-2 + 0 + 1).\nAnswer: 19*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19288*k**3 - 38859*k**3 + 19567*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v - 12. Let i(p) = -12*p + 13. Let s(m) = -5*i(m) - 6*j(m). Let w(c) = -11*c + 13. Let g(a) = 10*s(a) - 6*w(a). Differentiate g(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2 - 6 + 10. Let d(s) = -s**3 - 5*s - 12. Determine d(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 8*o + 6*o**2 + 23*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 + y - 3. Suppose n + 57 = 3*g + 38, 5*n = -5*g + 5. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/20 + -3)*-5. Suppose -9*i = -v*i + 26. What are the prime factors of -3 - 8\/(-2) - i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k**3 + 32*k**3 - 2*k + k)*(k + 3*k - 2*k).\nAnswer: 26*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -493, 471, 1433, 2393, 3351, 4307, 5261?\nAnswer: 6213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-10)\/(-6)) - 462\/(-1470). Let w = 6 - 5.1. Sort 5, 3, c, w in descending order.\nAnswer: 5, 3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urdnv. Give prob of sequence rndu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 169*m**3\/3 - 511*m**2\/2 - 274. Find the second derivative of k(t) wrt t.\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k**3 + k**2 + k - 1. Let q be (-1)\/(-1)*2\/2. Let i be h(q). What are the prime factors of 6*(-1 + i\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422921331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21 * -0.2\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.558678847 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267 and 3471.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -3*m + 1, 3*l - 18 = 3*m. Let u = -20 + 43. Suppose -3*o = -u - 58. What is the remainder when o is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*o + 456 = 0. Let v be o\/(-7)*(-8)\/414. Let i = v - 2\/161. What is the second biggest value in -0.4, i, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyoy when four letters picked without replacement from {v: 5, y: 4, o: 5, b: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5 - 60*c**4 - 225*c**3 = 0.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f + f**4 + f**2 - 2*f**3 - 3*f**2 - 3*f**4 - 16*f + 2 to z*f + l*f**2 + g*f**4 + v*f**3 + d and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*s - 2 + 0*s - 3*s**3 + 4*s**3 in the form d + l*s**3 + h*s**2 + z*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941677 is divided by 182.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/30 + t**5\/10 + t**4\/12 - t**3\/6 + 8*t**2. Let k be l(-2). Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 9641539910773?\nAnswer: -9641539910774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2*s - 34*s**2 - 2*s**3 + 83*s**2 - 43*s**2)*(-2 + 1 + 4).\nAnswer: -6*s**3 + 18*s**2 - 6*s - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 5.8 (c) -1685\/33 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - (-16 - -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105\/8 + -13. Let g = -22.4 - -118.2. Let m = -96 + g. Which is the nearest to -0.2? (a) 3\/2 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654255777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/9 + 4247716*x**3\/9 + 5663600*x**2 + 203889344*x\/9 + 271852288\/9 = 0. Calculate x.\nAnswer: -2123846, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 9. Let h be f(-6). Suppose -h = 3*i + 2*i, 5*l - 917 = -i. Is 24 a factor of (12\/(-16))\/((-2)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 722.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*-5.8\nAnswer: 10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 150*b = 1230 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3711001*l - 3711001*l - 5 + 5 + 12*l**2 - 15*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 - x + 30. Let i be s(0). Suppose 2*b - 5*b = -i. Calculate the remainder when 29 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 1053*g + 1054*g - 83 = 0, -2*g + 21 = 5*o - 0*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3838.9 + -3839.1. Does p = 14914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84112 by 105.\nAnswer: 12016\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49700 divided by -70?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7543148520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -997 + 1001. Which is the second biggest value? (a) u (b) -22 (c) -4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 10659?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -132828*k - 84165 wrt k?\nAnswer: -132828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -774 - -6964\/9. Let o = 0 + 0. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 0.1921 (c) 0.3 (d) 5 (e) -280 (f) 1\/3 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 64.1. Let z = h - -2.59. Let m = 0.63 + z. What is m rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414 (base 5) to base 4.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.12 times 212653?\nAnswer: -7893679.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - y**2 - 737*y + 283*y.\nAnswer: 8*y**2 - 454*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrvf when four letters picked without replacement from vefergbgeggggggr?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*x - 6648 = 0, 4*r - 11*x + 10*x = 5334. Calculate the greatest common divisor of 518 and r.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*j + 550*j - 263 = 788*j + 1744 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l + 16. Let r be q(-2). Solve 0 = 2*i + 3*m + 12, -2*i + 4 = -m - r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 23. Let c be v(8). Solve 3*f = c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -222\/5*f**5 - 11\/2*f**2 + 0*f**3 - f - 54 + 0*f**4. Find the second derivative of q(i) wrt i.\nAnswer: -2664*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:18 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158*a = 1131*a + 81. Sort a, -54, -9, 4, -1 in decreasing order.\nAnswer: 4, a, -1, -9, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.2, 5, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*s**2 + 7*s - 7*s - 758*s**2.\nAnswer: -887*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37071 + -37079. Let i(l) = -2*l**2 - 9*l + 2. Give i(p).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/4 - 11*m**3\/3 - 15*m**2. What is the derivative of f(w) wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19225.08 - -19225. What is the closest to d in 5, -10, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 = -0. Let o be (-2)\/k + (-9)\/(-2). Is 5 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001189120286 rounded to five dps?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.95 - 0.25. Let n = s + -1.69551. Round n to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 116006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8234 + -8229. What is the fourth smallest value in n, 15, 2, 1, -3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 4*f**5 + 3*f**5 + (-f**3 + f**3 - f**5)*(2 - 3 + 5).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose -7*f + 30 = -2*f. Let i be (0 + 6)\/(f\/9). Solve -l*k = -0*p + 4*p + i, -5*k - 4 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -24, -21, -4, 33, 96, 191, 324?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 + (7 - (1 + 6)) + 1. Solve 32*p - 39 = x*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 2:03 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7365*r + r**2 - 2*r**2 + 1 - 3274*r + 1942*r.\nAnswer: -r**2 - 8697*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4, 0 = 2*v - 2*y - 358. Suppose 957 = 5*n + 2*w - 5*w, n - v = -3*w. Suppose 7*o - n = 1260. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t = 616 + 684 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/108*(-12)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 14. What are the prime factors of t(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7576 + -7655.31. What is a rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -915432 and -401654274.\nAnswer: -402569706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 154, 261, 354, 427, 474, 489, 466?\n\"Answer: -r**3 - r**2 + 117*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/21, -1.5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -27*x + 1. Let p be w(-1). Let s = p + -19. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -12 - 33\/8*f**3 + 3\/2*f**4 + 3\/8*f**5 + 24*f - 39\/4*f**2 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-35))**38*(c*c**(-2\/83))**(-33) assuming c is positive.\nAnswer: c**(-109909\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1100.8 - -1101. What is the nearest to v in -4, -2\/9, -3, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1294895.8 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/59207 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + (-64)\/126. Sort 1, x, 0 in ascending order.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (22 + -35 + 10 + -8 - (-3 - -1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 210.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13979*n**3 - 4645*n**3 - 4646*n**3 - 4675*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/49 in 1\/4, 2\/7, -2\/5, -0.1, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 73\/6. Let l = 0.18 - 0.2. Let y = l + 0.42. What is the third smallest value in y, -0.2, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.159? (a) -37 (b) -78 (c) 5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/13 + 103001484*f**2\/13 - 1326163213275282*f\/13 = 0 for f.\nAnswer: 0, 25750371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92.48941 and 15?\nAnswer: 107.48941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 13*z**5\/4 + 83*z**4\/12 + 6*z + 4. Find the third derivative of q(k) wrt k.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 3*x - 1\/20*x**5 + 0*x**2 - 3 + 1\/6*x**4 + 1\/2*x**3. What is k(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k - 18 - 23 - 20 + 61.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8912 + -8909. What is the fourth smallest value in -24\/31, q, -6, -1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 - 8544*q = 0 for q.\nAnswer: -2136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 16 = 3*h - 6, 0 = -5*x + h. Let d be (x*16)\/((-2)\/4). Calculate the greatest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9583849643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 41. Sort 0.19, -3, p in decreasing order.\nAnswer: p, 0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35636\/69 > -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2, -5, 61?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 + -1 - (33 - 37) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**2 - 5*j**2 + 4*j**2)*(-5*j + 4*j + 2*j)*(1 + 1 + 0)*(42 - 42 - 7*j) to a*j**2 + v*j + h*j**4 + r + b*j**3 and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-27)*1*(-27)\/12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + 4 + -11 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 62, 87?\n\"Answer: 25*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14752378*w**3 + w**2 - 376*w - 18782 wrt w.\nAnswer: 88514268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4460 - 83122532.\nAnswer: -83118072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 324 in 1, 1\/5, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 23144?\nAnswer: 23148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2894 - -9182. Does 131 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2913, 5823, 8747, 11691, 14661, 17663, 20703?\n\"Answer: o**3 + o**2 + 2900*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 13*g - 12 = l + 9*g - 2, l - g - 10 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14212*b + 1615. Let f(q) = 9*q - 1. Calculate 1615*f(d) + j(d).\nAnswer: 323*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a - 434. Determine r(34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3*(-1)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2061508608 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 14, z: 4}. Give prob of sequence ozz.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18861 + 5*h + 37814 - 18866)*(-4*h**2 + 2*h**2 + 0*h**2).\nAnswer: -10*h**3 - 174*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 630054 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0 (b) -2\/13 (c) 0.1 (d) -1\/5 (e) -3\/173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -28. Let g = 3559 - 3559.3. Which is the third biggest value? (a) v (b) 6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.4151 - -3.5051. Put 0.4, 0, 5, j in descending order.\nAnswer: 5, 0.4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 72*c**2 + 28. Let a(k) = -13*k**2 - 5. Let j(z) = 28*a(z) + 5*f(z). Let q(n) be the second derivative of -2*n**3\/3 + 14*n. What is q(j(u))?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -4d27?\nAnswer: -4d3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2691 or -1?\nAnswer: -1\/2691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*h - 0*h - 2, 5*h + 11 = -2*f. Suppose -2*s = -3*s + f. Let x = 3 - 2. Sort x, 4, s in decreasing order.\nAnswer: 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 27*g**2 - 33*g - 38. List the prime factors of s(-28).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 9*s + s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 23312335 - 23312335 + 309*q**2.\nAnswer: 309*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21670, -43391, -65112, -86833, -108554?\n\"Answer: -21721*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3818*c**3 + 11*c**2 - 15*c - 8. Let v be b(7). Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 738 - 749. Let k(o) = 4*o**2 - 11*o + 16. Let l(p) = p - 1. Let x(v) = v**2 - 8*v + 9. Let y(f) = 6*l(f) + x(f). Give t*y(j) + 2*k(j).\nAnswer: -3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 40*g - 27*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -16*g + 644. Let h be y(39). Let t be (64\/h - 4) + 5 + -4. Factor -t*k**4 + 6\/5*k**3 - 1\/5*k**5 + 3\/5 - 2\/5*k**2 - k.\nAnswer: -(k - 1)**3*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-1 - 3)\/2). Let v = 12 - -44. Suppose -5*x = a*i - v, 2*i = -2*x + i + 22. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3589\nAnswer: 14356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3863 >= -896055\/232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f + 219. Let b be l(-14). Solve 2*a - k + 7 = 0, 2*k = -50*a + 49*a + b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-15)*6\/(-4). Let j = 5 - 10. Sort d, 5, j.\nAnswer: j, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 1:51 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1012.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*y**2 - 3*y**4 + 4 - 15*y**2 wrt y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131 and 0.006.\nAnswer: 0.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 55*b + 37. Let m be a(-24). Let t = m - -133. Solve -4*r - 2 - t = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 261446 + 5?\nAnswer: 261454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114377 is divided by 307.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 8:05 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*m - 652 = -628, 3*d - 3*m - 12 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c - 117 + 168 = -569 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -50*d**2 + 4 - 3*d**2 - 9*d + 54*d**2. Calculate i(12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2070438.148353 - 2070439. Let p = -0.852 - n. What is p rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2618501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 276*q**2 + 543*q + 145. Calculate a(136).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934747367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 110?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5)\/40*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.35 - -452\nAnswer: 455.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4189 divided by 16?\nAnswer: -4189\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - (-11 + 22)) + 9 + (1 + -8 - 0).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 128 = 4*j, -20*i = 3*j - 18*i - 111. Suppose j*u - 13921 = 8129. What are the prime factors of u?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 221311, 442592, 663877, 885166, 1106459, 1327756, 1549057?\n\"Answer: 2*x**2 + 221275*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46288 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -69*m**2 - 9*m - 45. Let c(g) = -173*g**2 - 19*g - 89. What is 2*c(d) - 5*p(d)?\nAnswer: -d**2 + 7*d + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 20 + -37 + (17 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*h**3 - 73*h**3 + 20*h**3.\nAnswer: -225*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ujxxujujxuujuxujjjuh.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3170 = -5*t - 4*y, 4*y - 6*y = -2*t - 1250. Let r = t + 629. Let j(d) = -d**3 - d**2 + 5*d + 1. Let s(k) = -k**3 + k**2 - k - 1. What is r*j(l) - s(l)?\nAnswer: 2*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1144348*r**3 - 2*r**2 - 8*r**2 - 2*r**2.\nAnswer: 1144348*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:10 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133109 is divided by 459.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + z - z + 93*z**3 + 1.\nAnswer: 93*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/8 + -4 + 1\/(-4). Let g = -1 - d. Let c(w) = w**2 + 4*w. Determine c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2128 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -2 (c) 0.1 (d) -799\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -5*(22 + 3). Let x = k + 271. Calculate the remainder when x is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 3. Let b be a(-3). What is the remainder when (-2)\/b + 357\/27 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9254 divided by -1\nAnswer: -9254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*n - 11 = 0, -2*p + 13 = -0*n - 5*n. Let d be 16\/(-208) - 1799\/1456. Is d smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -52.5. Which is the third biggest value? (a) 101 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39686\/33 + -1202. What is the common denominator of 13\/3 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385025521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/6 + 5*m**2\/2 + 2*m. Let c be t(-7). Let n(q) = -2*q**3 + q**2 + 3*q + 2. Give n(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 + 268*n**2\/3 + 802*n\/9.\nAnswer: 2*n*(n + 1)*(n + 401)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 2*h + 6. Let y be r(5). Let a = 12 + y. Suppose d + 0 - a = 0. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 + -0.58. What is the second biggest value in -0.3, a, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 12. Let o be (5 + 5)*2\/t. Solve 6*v - 4*g + 9 = 3*v, -3*g = -o*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -3 + 16 + -29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 11*a - 6. What is the tens digit of v(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 0*f - 874179 + 874186 - 4*f + 5*f. Determine l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1be (base 16) in base 10?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-10) - (-279)\/810. Let b(u) be the second derivative of -2*u**4 + 109\/30*u**5 + 2*u - 14\/5*u**6 + 0 + 0*u**2 + d*u**3 + 7\/9*u**7. Factor b(k).\nAnswer: 2*k*(k - 1)**2*(7*k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23.3 in 0.6, 0.06, 12\/37?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4, -81905*w + 2*z + 2*z + 16 = -81901*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4045047, -4044951, -4044857, -4044765?\n\"Answer: -g**2 + 99*g - 4045145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c = 0. Let a = 199 + -196. Solve j + a = -2*m - 3*m, 2*m = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1431707 microseconds to nanoseconds.\nAnswer: 143.1707","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g + 3. Let z be q(0). Let t(o) be the third derivative of 0*o - 1\/21*o**4 + 0 - 8\/21*o**z - 1\/420*o**5 + 4*o**2. Factor t(d).\nAnswer: -(d + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 52. Is (-6990)\/a + 6\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 - (-66)\/(-4). Let z = u + 3. Let l = 43\/3 + z. Which is the closest to 2? (a) 0 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4)*-2 + sqrt(48)\/(sqrt(48)\/sqrt(4)))\/(-3*-1*sqrt(128)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1800591 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122202220200 - -1?\nAnswer: 1122202220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.9 - 14.991. Let s = y + 55.091. Let f = s - 55.0000094. Round f to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6*n - 8 = 0. Let q = 8 + n. Which is bigger: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79, 87, 99, 115, 135, 159?\n\"Answer: 2*i**2 + 2*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116712 is divided by 571.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99039806.\nAnswer: 2, 49519903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 36 - 8 = 0. Which is the nearest to 5? (a) -1\/12 (b) l (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 864.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + g = 136 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478967.9 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/48*-3*-76. What is the remainder when 2\/s + (3 - 84\/76) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18288*l**2*n**2 + 22*l**2*n - 571*l**2 - 2*l*n**2*o**2 + 2*l*n*o**2 wrt n?\nAnswer: 36576*l**2 - 4*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 46*d + 88. Let n be q(-44). Which is the closest to n? (a) -1 (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/22)\/3*132\/24. Let g(c) = 10*c**3 - 1. Let z(j) = -9*j**3 + 1. Determine u*g(n) + 3*z(n).\nAnswer: -7*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -93, -210, -373, -582, -837?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -31*v**2 + 5*v + 16. Let y(s) = 6*s**2 - s - 3. Suppose 0 = -4*u - 366*o + 365*o - 15, 7 = -o. Calculate u*d(b) - 11*y(b).\nAnswer: -4*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/19? (a) 316 (b) 0.4 (c) 5 (d) 2.62 (e) -4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 5. Is (-2304)\/w*1\/(-2)*1 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*((-5643)\/(-190) + -27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 18 = 4*n + 60, -2*b + 2*n = -26. Let r = 6 - 4. Let z = r + 15. Calculate the remainder when z is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354038 is divided by 88508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 4. Suppose 0 = 5*v - n + 8, -3*v + 4*n = k*n + 2. Let q = 98 + v. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1355400 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 190\/20 - 12285\/546?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3421 and 2768211?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 + 0 + 30 + 551 is divided by 102?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/144*-4 + 1\/2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-14) - (-236)\/(-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87.76036cm?\nAnswer: 0.0008776036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (-16 - (32 + 75 + -7)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-175) + 6\/70.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(209) + -1*sqrt(209))\/sqrt(11) + sqrt(19))*3.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/50 - (-17548)\/48150?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - (-1396)\/14. Let w = t - 63. What is the remainder when w is divided by 3*(8\/(-44) - 447\/(-99))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/120 + g**5\/30 + g**3\/3 - 15*g**2. Let r be m(0). Calculate the remainder when 24 is divided by 20\/r + -10 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7498.\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 22*o + 3660 = 0. What is o rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 1, 4, 15 in ascending order.\nAnswer: -7, -5, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -33*u**2 + u - 32. Let q(o) = 3*o - 3. Calculate q(p) - z(p).\nAnswer: 33*p**2 + 2*p + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + (1 - 0) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-14) - -3 - 12\/28. Solve 0 = -z*t - 5 - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 11332210?\nAnswer: -11332221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {u: 2, t: 1, b: 2, s: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0 + 0*b**3 + 0*b**2 + 2\/3*b**4 + 2*b. Let y(f) = -2*f. Give q(y(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.1, 3\/2, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5 + 5)*(-32*r**2 - 17240 - 8*r**2 + 17243).\nAnswer: -120*r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000057441 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5147.844104689 minus -16?\nAnswer: -5131.844104689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81f9c (base 16) in base 6?\nAnswer: 15224420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -43*o**2. Let u(v) = -v. Let g(x) = -4*x**2 - 6*x. Let c(i) = -g(i) + 6*u(i). What is c(q(f))?\nAnswer: 7396*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 10 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - 436. Let u = 724 + g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = -229*o - 1242 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(64\/12))\/18\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 + 262. What is the nearest to 6 in -1, h, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5*o\/(o*o**(-8)\/o)*o*(o*o**(-2\/21)*o)\/((o*o**(-1))\/o) assuming o is positive.\nAnswer: o**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(2*c**2 + 3*c - 3*c) - 4*c - 2*c**2 + 4*c + (-2*c + 2*c + 2*c)*(4*c - c - c) + c**2 + 0*c**2 + 0*c**2)*(0 - 5 + 4).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + sqrt(2299) + -2 + 1.\nAnswer: -1 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 13*l + 25. Let t be b(12). Let k = 15 - t. Solve 2 = -k*m - 2*a, m + 4*a + 5 = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/11630 and 23\/3000.\nAnswer: 3489000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -138*x + 258. Let m be s(2). Put 10, m, -3, 0 in decreasing order.\nAnswer: 10, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-30)\/w**(-13) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278255.\nAnswer: 5, 19, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7985 in 2\/17, 11.7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-28)*(-1 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 56*o**2 - 66*o - 517. Let x be n(-57). Which is the second biggest value? (a) -0.16 (b) -2 (c) -11 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754912 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -15. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/10 - 1)\/((-2)\/552). Suppose -3*f = 3*d - j, -5*d + 85 + 142 = 4*f. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10 - 10 + 0*l**2 + 5*l**2. Let r be f(1). Suppose r*b - 2 - 13 = 0. Solve 3*t = -b*y - 12, 7*y + 12 = 4*y - 5*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 - -13b22?\nAnswer: 13aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**3 + 4*w**2 + 2*w - 26. Let z be u(6). Suppose 0 = -2*j + f + z + 574, 4*j + 4*f - 4432 = 0. List the prime factors of j.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9694715?\nAnswer: 5, 229, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*m + 7 = 0, -5*x - 3*m + 18 = -0*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(84)*2*-5)\/((sqrt(588) + (sqrt(588) - (sqrt(588) + (sqrt(588) - (sqrt(588) + sqrt(588)*-2*5)) + sqrt(588))) + sqrt(588) - sqrt(588))*-3).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(-399)\/(-14). Let i = s - -19. Suppose 0 = -4*u - c + 123, 5*u = -i*u - 2*c + 153. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 9*s, -28*k - 2*s + 14 = -24*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 + -303. Let p = -107 - r. Solve p*n + 11 + 6 = 3*m, 3*n = -4*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4))\/(2\/(24\/(-438))).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23185a - 38?\nAnswer: 231822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2*d**2 + d**2 - d**3 - 5*d**2 + 5*d**2. Let f be y(1). Let c(u) = 137 - 8*u**3 - 137 - u**2. Give c(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/43, 0.3, -5, 0.4, -171 in descending order.\nAnswer: 0.4, 1\/3, 0.3, -2\/43, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669711609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 7. Let o = -17 - -16. Let z(x) = x**2 - x**2 - 6*x**3 - 1. Let p be z(o). What is v(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 9723669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saaaseaseaaasa. Give prob of picking 1 s and 1 a.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1592 - 1590. Let d(l) be the first derivative of -l + 13 + 5\/2*l**i. Find the first derivative of d(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 39879.\nAnswer: 39879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1824.71756 times 0.3\nAnswer: -547.415268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -0.33.\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3311*p + 9 = -3*y + 3308*p, -2*p = 3*y + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581517*s - 581517*s - 160*s**2 + 580*s**2.\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 0.0040877*-5.8\nAnswer: -0.02370866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 4*m - 8*m + 250 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/(-35) - 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = -5. Suppose 0 = 3*r + s - 1, -4*r - 2 + m = 3*s. Let c = 23.625 - 23.725. Is c smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/(-6) - (-2)\/6. Let b(z) = 4 + 2*z + 3 - z. What is the smallest common multiple of b(p) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.1 + -19. What is the closest to s in -0.2, 4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 10. Let x be u(6). Let s be ((-354)\/27)\/(x\/(-6)). Let b = 19 + s. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v + 32*v. Suppose v = -0*n + 6*n. Factor -2\/3*r**3 - 2\/3*r**4 + 0*r + n + 4\/3*r**2.\nAnswer: -2*r**2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 1 + 1 - 2*i**2 + 5*i. Let h(u) = u**2 - u. Let g(f) = -2*h(f) - 2*j(f). Find the second derivative of g(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401796 is divided by 2559.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -34*v**3 - 7*v**2 - 6. Let s(d) = -11*d**3 - 2*d**2 - 2. Determine 2*m(c) - 7*s(c).\nAnswer: 9*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 136*q - 52 = -140*q, 0 = 4*q - 64 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 669 and 27?\nAnswer: 6021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 6*t + 1\/2*t**2 - 7. Let n be f(-2). Solve 3*g - n*r = -2*g - 2, r - 8 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-22)*t\/t**(-1\/57)*(((t*t*t**(-2\/107)*t*t)\/t)\/t)\/(t*t**12))**(-25) assuming t is positive.\nAnswer: t**(4879375\/6099)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1018913\nAnswer: 1018917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14c564 (base 14) in base 10?\nAnswer: -725484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/26 in 0, -22\/5, -1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 478*l - 131.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. Let z be 12\/h*9\/(-6). Let s be (2 - -2)\/(0 - z). Solve 0 = -s*g + 4 + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-69*a + 661*a - 2 - 865*a - 2194*a - 3735*a).\nAnswer: 12404*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/107 - -131\/1284. Let p(r) be the third derivative of -6*r**2 + 1\/12*r**4 + 1\/120*r**6 + 0 + u*r**5 + 0*r + r**3. What is p(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -3 (c) 1\/10 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 + g + 3. Determine n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 4*r**5 + 0*r**5 + 119*r**2 - 12*r**5 - 119*r**2 + (0*r**3 + 2*r**3 - 3*r**3)*(-2*r**2 - 3*r**2 + 6*r**2) + 3*r**5 - r**5 - r**5.\nAnswer: -13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**7\/105 + 3*z**4\/8 - 5*z**3\/3 + 10*z**2. Let k(x) be the first derivative of w(x). Find the first derivative of k(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 144256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1467.\nAnswer: -5\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 11*o - 2. Let s(j) = -4185*j**2 - 13700*j - 11480. Let k(y) = -20*d(y) - s(y). Find v such that k(v) = 0.\nAnswer: -48\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 40*c + 14 = 5*j + 36*c, 2*c = -j - 2*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -33*k - 2. Let d(z) = -3*z**2. What is d(v(q))?\nAnswer: -3267*q**2 - 396*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -23, -32, -39, -44, -47, -48?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 = p - 6*p, 21 = 5*z - 4*p. Suppose -5*c = -7*c + 8. Solve 0 = -3*l + x - 2, -c*l + x + z - 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5911351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6 + -1)\/((-32)\/288)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*g - 2*g, 2*g - 6 = -4*s. Sort 3, 4, s in increasing order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -h + 2*w, 0 = 2*h + 253*w - 249*w + 10 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21031 + -11132220?\nAnswer: -11203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {x: 3, k: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 3*c**2 + 3*c - 2. Let o be p(2). Suppose 75*a + 148*a - 416 = -13*a + 56. Solve -3*z + a = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44, -2, -12, 294\/41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26626.35748 plus 2?\nAnswer: -26624.35748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33295594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(1700) + 1 + 2 - 2*sqrt(1700)*-3)**2) + -5 + -5.\nAnswer: -249931 - 1260*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10688\/128)\/167*4\/(-30).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156920 is divided by 78452?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011083 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -503*w - 816*w + 763 - 765 as v + i*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*s + 1842 = 0, -102*k - 7453 = -106*k - s. List the prime factors of k.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62792 = 2156*s + 8892 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440137248 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:35 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-6) + ((-4)\/14 - 11918\/(-2121)). Solve -h*k + 0*k - 16 = -4*j, 26 = 4*k + 3*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113072 is divided by 350?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 times 0.4?\nAnswer: 232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5467500 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((sqrt(50) + sqrt(450))*-4 - sqrt(50))\/((sqrt(100) + (1*sqrt(100) - sqrt(100)))\/sqrt(10)) + sqrt(80)*1 + (sqrt(375)\/sqrt(3) - sqrt(5))).\nAnswer: -45*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -3558391?\nAnswer: 3558381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/(165\/2200).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**1*r)\/r)*r)**30*(r\/((r\/r**8)\/r))\/r*r**(-2) assuming r is positive.\nAnswer: r**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10. Let d = -8 + 6. What is the nearest to d in -0.1, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -986*-3.98\nAnswer: 3924.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16656883 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: c51881 (base 14) to base 11\nAnswer: 38325a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53441 or -4221803\/79?\nAnswer: -53441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 2*w - 4 + 2 + 3*w**3 + w + 3*w. Let z be c(2). Solve 2*h + 2*p = -z, -5*h + 3*p - 2*p - 21 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-540)*585 + -53.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 6*w - 2*w)*(3 - 1 - 4)*(156 - 2760 - 2327 - 6000).\nAnswer: 43724*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hfhfhfhhhdhhf?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 10*r**4 - 18 - 12 + r to h*r**3 + t*r**2 + o*r**4 + d + g*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-90) + (-19)\/(-6). Let l be -1*n\/(12\/316). Let i = l - -117. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41815, -83629, -125443, -167257, -209071, -250885?\n\"Answer: -41814*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 35.8. Let n = -18.6 - w. Which is bigger: n or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-16)\/(-4)*2\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose 5*t + 28 = -3*h - 0*h, 2*h = -t - 21. Let d = h - -9. What is the second biggest value in d, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270.21 + -272. Let k = u - -1.59. What is the closest to 1 in -1, k, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a**3 + 3*a + (-a + 4*a - a)*(-2*a**2 + 2*a**2 - 2*a**2) + 92*a**3 - 96 + 96)*(2*a**2 - 2 + 2) + a**5 - a**5 - 2*a**5.\nAnswer: 170*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/3*9\/6. Suppose 0 = -i*w - 4*o, 1 = -2*o + 3. Let v = 15 + w. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 315, 609, 903, 1197?\n\"Answer: 294*q - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f - 10475 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 9170*f**2 - 5593020*f - 1134725400.\nAnswer: -5*(f + 582)**2*(f + 670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 62, 16 in descending order.\nAnswer: 62, 16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -5 + -17 + 11 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/405*-6)\/((-6)\/(-15)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 86, 215, 346, 479?\n\"Answer: i**2 + 126*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 26*t - 4 = u, -2*u + 4*t - 2 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36416 = -2*d + 4*n, 21*d - 27*d + 109218 = -2*n. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d + 15, 0 = n + d + 3. Let o = -104 - -106. Let j(p) = 80*p**o - 150*p**2 - 2 + 71*p**2. Calculate j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16998752?\nAnswer: 2, 479, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a**2 + 1894*a - 292 = 0. What is a?\nAnswer: -73, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 28\/19, 0.13, -1\/2, 0.5, 125?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(180) + sqrt(45) - (-1*sqrt(605))**2) - (2 + (sqrt(500) - -1*(1 + sqrt(500)))).\nAnswer: -606 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 7 = -107. Solve 108 - 90 = v*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(3*o**4 - 5*o + 5*o) + 4*o**2 - 4*o**2 + o**4 to the form i*o + c + s*o**2 + w*o**4 + q*o**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + -188. Calculate the lowest common multiple of c and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**4\/4 - 10*q**3\/3 - 13*q**2 - 15*q - 19. What are the prime factors of k(13)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1641 = 5*q - 4*l, -3*q = -0*q + 5*l - 992. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q**4 + 2*q + q**3 - 29*q**4 + q**3 to i*q**2 + m*q**4 + o*q**3 + s + f*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00337 + 0.436032229.\nAnswer: 0.432662229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136276?\nAnswer: 2, 7, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -3. Suppose 0 = -2*a - 4*c + 24, -c = -4*a + 5*a - k. Suppose -6*t + 2*t + 138 = -m, a = 3*m. What is the highest common factor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -113, 2, -4, 5448, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 506393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142339?\nAnswer: 37, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 14*o - 21. Let j be u(15). Let s be ((-4)\/39)\/(4\/j). Let n(r) = r**2 + 2*r - 2. Let t be n(-3). Sort t, -2, s.\nAnswer: -2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322127 * 2.\nAnswer: -644254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/6*(-1128)\/(-1504). Solve -q - 3 = a, -i*q - a - 17 = -18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/165276 and -83\/55092.\nAnswer: 165276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-70))\/(8\/(-14))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*o + 7, -13 = -5*o + 9*i - 12*i. Suppose 5*u - n = 5332, 0*n - 5350 = -5*u - o*n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 96*l - 14. Let v be u(-1). Let h = v + 113. Which is the nearest to 1? (a) h (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + t - 13, 5 = c + 2*c - 4*t. Let z be (4\/8)\/(1\/12). Let y be 4\/z - 110\/(-15). Solve -c*p - y = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 0, l - 3*l - 5*f = -211. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5182367432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4. Let o be y(-2). Suppose d - 150 = -o*d - 2*n, -3 = -n. Calculate the highest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*n + 12, 3*n = -2*d - 0 - 1. Let c = -1 + n. Factor 7\/3*h**5 + c*h**2 + 0 - 2\/3*h**3 + 5\/3*h**4 + 0*h.\nAnswer: h**3*(h + 1)*(7*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370518.\nAnswer: 2, 3, 37, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(30 - -3)*18. Solve 4*q + 9 = -w, 3*w - j*w = 2*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 + 7*a**3\/3 - 5*a**2\/2 - 2*a + 10. Calculate w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 452*m**2 - 452*m**2 + 266*m**4 + (-2*m**2 + 5*m**2 - m**2)*(4 + 2*m**2 - 4) - 3*m**4 + 4*m**4 + m**4.\nAnswer: 272*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111 greater than or equal to 3101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 7 - -3 - (-12 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72339, 72340, 72341, 72342?\nAnswer: 72343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, -2\/5, -34, -3\/5, -1, 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3288 (base 9) to base 10\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:58 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 111 - 31 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjcr when four letters picked without replacement from rkccnkorrkkj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -2*n + 351, -4*n = 0. Let k = -386 - y. Suppose s = -x - 4*s - 34, 3*x + 102 = 4*s. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 25*v - 10. Give q(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86788?\nAnswer: 2, 13, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.029 - -32.029. Let x = -19 + q. Let s = x + -11. What is the third biggest value in -3, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 2*h - 2246379*h**2 + 2246005*h**2.\nAnswer: -374*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -20, -3, -2, 792 in ascending order.\nAnswer: -20, -8, -3, -2, 2, 792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 32*z + 536. What is l(42)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 84. What is the greatest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000802251194 to 6 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (136\/(-40715))\/(8\/20). Is u != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14))**(-25\/2)*(x*x\/(x*x\/(x\/(x**(-19)*x))*x))**(-3\/13) assuming x is positive.\nAnswer: x**(2221\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/75 - 422*q**5\/25 - 29821*q**4\/5 - 355324*q**3\/15 - 177241*q**2\/5 - 1822*q. Determine o, given that y(o) = 0.\nAnswer: -421, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 0. Let w = g + 1\/3. Let d = -1.7 - -2. What is the second biggest value in d, w, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d35 (base 15) to base 4.\nAnswer: -33203231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21e (base 15) in base 11?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**4 - 50*v**3 + 15*v**2 + 160*v + 100 = 0 for v.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -21. Let d = 1598\/3 + -530. Put 2, z, d in decreasing order.\nAnswer: d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329.00000842 - -329. What is i rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 33150?\nAnswer: 629850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2935457 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 9:35 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(28))**2 - (1 + sqrt(847) + sqrt(847))**2)*4.\nAnswer: -13440 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w. Let k(t) = -15*t. Calculate -5*c(g) - 4*k(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.8 - 6. Which is the nearest to 6\/5? (a) r (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.566+80\nAnswer: 81.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -18, -32?\n\"Answer: -14*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -73. Let x = n + -33.112. Let w = x - -0.159. What is w rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12891730 and 12185.\nAnswer: 12891730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7731168?\nAnswer: 2, 3, 29, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 29. Let c be 3\/((-6)\/(-4)) - h. Which is greater: c or -18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839869887?\nAnswer: 3, 17, 31, 167, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + s = -10, -3*j = j + 2*s + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 405 - 405 + a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2250 + -15801\/7. Let z = -85\/126 - t. What is the common denominator of z and 37\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 260 = 5*m. Let g = m - 33. What are the prime factors of -4*(-4)\/(16\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 82. Let p(o) be the second derivative of o + 0 + 0*o**a - 1\/50*o**5 + 1\/15*o**3 + 0*o**4. Find l, given that p(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s + 672. Let o be (-4)\/(-3) - s\/12. Solve 0 = -0*y + 5*y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight ninths of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:17 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8 + (-31)\/(-62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.1409 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/290 and 53\/3538.\nAnswer: 17690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/7080 and 109\/1058460?\nAnswer: 2116920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213697.\nAnswer: 11, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*y**2 + 131\/3*y + 266\/3 = 0 for y.\nAnswer: -2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 + 70034*y - 210084 = 0.\nAnswer: 3, 35014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 1. Let g be y(-5). Suppose 0 = 4*u + g*r - 8*r, 15 = -u + 4*r. Sort 1, u, -5.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k - 3*k + 28*k + 28*k.\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) + (-256)\/(-144) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61245.\nAnswer: 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2699\/6 - 1313\/3. Find the common denominator of z and 57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -447.506 + 465.4973. Let c = -18 + r. Round c to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/300 + 39*v**4\/4 - 22815*v**3\/2 - 2300*v**2. Factor h(k).\nAnswer: -(k - 585)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*w - 216724 + 1217383. Let t = w - 727633\/24. Find the common denominator of t and -5\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(-5\/4)\/(l*l**12*l*l**(5\/14)\/l*l) assuming l is positive.\nAnswer: l**(-1573\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.61 + 0.39. Which is the third biggest value? (a) 0.1 (b) 0.4 (c) o (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 9*p**2 - 5 - 2*p - 7*p**2 + 2*p. Let x(b) = 31*b**2 + 3*b + 11. Let u(f) = -5*h(f) - 2*x(f). Is u(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 + 15704*q\/5 - 204321\/5.\nAnswer: (q - 13)*(q + 15717)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.3051882 centuries in decades?\nAnswer: 3.051882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**2 + v. Let k(h) = -8*h + 1. Suppose 35 = -5*x + 5*r, 2*r = -5*x - r - 27. Calculate the remainder when k(x) is divided by y(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) -3\/8 (c) 308 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 309.2 + -309. Let f = 15.04 + -13.7. Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 3*g - 24. Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 190.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-30)*410\/180 and -187\/480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*sqrt(1700) + sqrt(1700) + sqrt(1700) - sqrt(1700)) + 5)**2.\nAnswer: 80*sqrt(17) + 27201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44937 + 44940. Let -10\/3*v**2 - 8\/3*v + 1\/3*v**4 - 1\/3*v**a + 0 = 0. What is v?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3665 or -2814?\nAnswer: 3665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/40 + -1 + (-4)\/(-32)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*p - 15 = -3*x - 1023*p, 0 = -5*x - 3*p + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**6 - 3*k**5 + 3*k**3 + k**2. Let p(z) = 11*z**6 + 5*z**5 - 5*z**3 - z**2. Let v(c) = -5*b(c) - 3*p(c). Find the third derivative of v(l) wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2 + -2)) + (-2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/17 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305056 is divided by 305014.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/381 and 125\/12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -274 + 53. Calculate the remainder when 206 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 15*x**2 + 16*x + 18. Let f be g(16). Let j(w) = -w**3 + 17*w**2 + 19*w - 12. Is j(f) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 3*n + 525*n**3 - 519*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -446b - -9?\nAnswer: -4462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -466753, -466768, -466783, -466798, -466813?\n\"Answer: -15*l - 466738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15539827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Let q(m) = 15*m + 8 + 5*m - 19*m - 5. Give a(q(t)).\nAnswer: 3*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 201, 285, 367, 453, 549?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-1)))\/n)**24)**(5\/13) assuming n is positive.\nAnswer: n**(-240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11067 and 1677900?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -38. Suppose 0*c + 22 = 3*c + q*j, 48 = 4*c - 2*j. Solve -4*u + 2*o = -20, c + 5 = 3*u + 3*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -6*z + 27*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 0, k - 3*v = -2*k + 90. Let y be (4\/(-10))\/((-1)\/10). Solve y*h + 3*j - 9 + 40 = 0, h + 5*j = -k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -45*d**2 + 4*d. Let i(y) = -y + 3*y + 179*y**2 - 19*y. Let o(t) = 2*i(t) + 9*v(t). Let l(f) = -2*f**2. Determine o(l(n)).\nAnswer: -188*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303675065?\nAnswer: 5, 59, 1029407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 34*r**2 + 13*r + 28. Determine t(-2).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 173155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**5 + 3*z**5 - 30*z**5)*(3 - 1 - 1 + (4 - 1 - 4)*(0 + 2 + 1))*(2 + 0 + 1).\nAnswer: 216*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2028 = 1223*k - 1392*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x - 22*x - 2*x**2 - 25*x.\nAnswer: -2*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*n - 8, -4*x + 0*n = 5*n - 25. Suppose 12 = 4*s - v, 0 = 2*s - 5*v + 6*v. Let q = -12 - -23. Put -4, q, x, s in ascending order.\nAnswer: -4, s, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78798 divided by -1\nAnswer: 78798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*((-18)\/(-4) - 3))\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 765 + -750. Suppose 2*l - 9*l + 14 = 0. Solve -l*p = p - d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6682 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 813057.03 minutes in days?\nAnswer: 564.6229375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2473 - 2473 + 87*h to the form z*h + u and give z.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 57.00000176. What is b rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15840\/124080)\/((-1)\/1*-2)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:24 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 68.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055891 rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + -2.79. Let j = n - -2.68. Which is smaller: j or -1\/73?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4750 and -4749 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 3*k + 4*r, -r = 5*k + 9 - 291. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 0.01, -553?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/2 - 5*o**3\/3 + o**2\/2 - 9*o - 9. Is u(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 + 8*o**3\/3 + 4*o**2 + 5*o - 37. Let r(f) = -f**3 - 4. Let v be r(0). Let j = -3 + v. Give g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -3*(sqrt(76) - -1*sqrt(76)))\/(sqrt(4) - (-2*sqrt(4)*5 - sqrt(4))).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13074, 26047, 39020?\nAnswer: 51993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 3*n + 10, 16 = -4*n. Let c be (2\/d)\/((-1)\/(-60)) - 0. Calculate the greatest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*q = 74, 2*a - 54 = -5*q - 20. Suppose -3*h = 3*r + 3705, 2*r - r + 1229 = h. Let u = -2413\/2 - r. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 34568.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 38*p - 6. Let m(r) = 2*r**2 + 4*r. Determine -5*m(z) + o(z).\nAnswer: -3*z**2 + 18*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 - -17)\/(2\/88503) - 3. Round r to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1691 + 11422. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*s**3 - 14\/5*s**2 - 4*s + 0 = 0. What is s?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1444615365?\nAnswer: -1444615363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4979.4036 to the nearest ten.\nAnswer: -4980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 27*y**2 + 2*y + 61. Let x be v(-27). Suppose 0 = 3*r - m - 11901, -2*r + x*r + 2*m = 19835. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:53 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75\/4 - 19. Let w = 589.11 + -589. Let z = w - -0.29. What is the biggest value in y, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919978150?\nAnswer: 2, 5, 38399563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*r + 6*d**2*y + 3*d**2 + 2*d*y - 62*d + 2*r**2 - 91436*r*y + 2*y wrt r?\nAnswer: 2*d**2 + 4*r - 91436*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8805\/(120\/8))\/(0 - -1) is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 242831, 0.1, -2.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 - -131 - (65 + -173)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w. Let q be h(-4). Let a be (q\/54)\/((-2)\/(-3)). Calculate the remainder when 2 + (36 - -1)*a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 281 and 69306402?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/8 - 3*c**3\/2 - 2*c**2. List the prime factors of j(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (0 - (-4 - -1)). Suppose -x - 10 = -q*x. Let u(w) = 6*w**3 + 2*w**2 + w. Is u(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228*f - 1 = -1230*f - 2*x - 33, 3*x + 76 = -5*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -38, -48, 122, -2 in descending order.\nAnswer: 122, -1, -2, -4, -38, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 295*m - 293*m - 2, 3*m = -4*n + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -34. Let x be m + 0 - (-19)\/(-19). Solve 5 + x = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8157929 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.83 - 3.83027. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 28 + 28*r**2 - 2\/3*r**3 - 392*r. Determine a, given that t(a) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0548 times 5\nAnswer: 0.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 14 - 22, -2*s + 44 = 4*x. Solve -u - 3*o = 15, -8*o = 4*u - 11*o - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(8 - (18193\/(-98))\/(-23))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.9 + 0.3. Let j = l - -18.5. What is j rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/27*15)\/((-14)\/175*5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2032*s - 23*s + 46207 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -2*(sqrt(130) - -3*sqrt(130)) + sqrt(130) + sqrt(130))\/(sqrt(10) + sqrt(50)\/sqrt(5)*-4 + sqrt(10)))**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181184408.\nAnswer: 2, 22648051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/5)\/(g*g**(-6)) assuming g is positive.\nAnswer: g**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-18)\/10)*3. Suppose -h + 2*t - 12 = 0, -5*t - 350 = -4*h - 377. Solve n*w - 5 = d, -4*d - h*w + 10 + 14 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 10, -3, 6 in descending order.\nAnswer: 45, 10, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 5*g**2 - 2*g + 6. Suppose o = -2*d - 8, -2*d = o + 3*o + 2. Let p be u(d). Calculate the greatest common factor of p and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -105, -159?\n\"Answer: -54*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -73?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010001011011 + 10101110?\nAnswer: 1000010100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 2*a)*(3 + 15 - 4) + a + 0*a + 0*a + 5.\nAnswer: -13*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 - l - 2. Give q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (15 + -11 + 8 - (0 + -1))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 4*p - 4*p + ((-16*p + 5*p + 3*p)*(130*p - 60*p - 41*p) + 2*p**2 + 0 - p**2 - 2)*(4 + 1 - 3).\nAnswer: -463*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1089275, -1089258, -1089229, -1089182, -1089111?\nAnswer: -1089010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 336, -8 in increasing order.\nAnswer: -8, -3, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -182, -322, -462, -602, -742?\n\"Answer: -140*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 166. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -4*p**5 + 41*p**2\/2 + 41. What is the second derivative of v(t) wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -45?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 minutes after 11:43 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/6, 12, -0.05, -7138 in decreasing order.\nAnswer: 12, 1\/6, -0.05, -5, -7138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgz when three letters picked without replacement from {h: 1, z: 9, p: 3, g: 1}?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*z = -2*a + 18, 4*a - z - 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let o(f) = 2913*f**2 + 18. Determine o(a(c)).\nAnswer: 2913*c**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 13*j**2 + 142.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 5693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7038212 nanograms to milligrams.\nAnswer: 0.0000007038212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 126, 245, 364?\n\"Answer: 119*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197*j**5 + 3*j**4 + 199*j**3 - 1296*j - 348?\nAnswer: 3940*j**3 + 36*j**2 + 1194*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001081743 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 - 280*j**4 - 812*j**3 + 1376*j**2 + 814*j - 1096 = 0. What is j?\nAnswer: -137, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -101, -255, -519, -929, -1521, -2331, -3395?\nAnswer: -4749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - 4*g**4 - 10*g + 9*g to the form s*g + w*g**2 + m*g**4 + z + i*g**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/6 + 5*n**3 + 238*n**2. Suppose -30 = -3*j + z, -5*j + 45 + 15 = -5*z. What is the tens digit of u(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-2)\/4*-6. Let m = 2 + y. Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7658 = -23*w - 8003 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 - 15 = 0. Let x(o) = -o**2 - 6*o. Let c be x(p). Suppose -10*w + c*w + 268 = 0. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/11)*g\/g**(-2))\/(g**(-2\/7))**21)**13)**(-24\/7) assuming g is positive.\nAnswer: g**(-30264\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/1589191 - -2968642855\/2849419463. Let j = a + 8\/163. Find n, given that -j*n - 18\/11 - 2\/11*n**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -18*y. Calculate c(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1620 divided by 45.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25c6 (base 13) to base 8.\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a factor of 2716213814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13847\/5675)\/(3 + 33\/(-10))*3\/(-2).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9297000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 - 2*n**2 - 7 + 4*n**2 + 4*n**3. Suppose 10*l - 6*l - 68 = 0. Let t(y) = 24 - 8 - l. Calculate -j(m) + 10*t(m).\nAnswer: -4*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n - 108 - 58 + 278 = -7*m + 22*n, -n - 38 = -4*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m + 4. Let x be i(-1). What are the prime factors of 1*(-123)\/3*x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 2 - (-6 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 54, 101, 162, 237, 326, 429?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7487 - 7483. What is the closest to -4.2 in -0.5, b, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 3*a = 50, 5*i + 188 = 2*a + 182 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 80, 200, 368, 584, 848, 1160?\n\"Answer: 24*b**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*k**3*q**3 - 12*k**3 + 3*k*q**4 - 3*k*q**2 + 4*k*q wrt q?\nAnswer: 1428*k**3 + 72*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*n + 25 = 0, 2*o + 2*o - 5*n + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 278 = -2*x. Let o = -91 - x. Suppose -o*p = -4*z - 26300, -5*p - 5*z + 2*z + 32915 = 0. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 7*k**2 - 14*k**3 + 3*k**4 - 4*k**4 - k**4 + 4*k + 5*k**2 as n*k + y*k**4 + b + t*k**2 + o*k**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:08 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -3. Suppose 2*f - m - 2 = 0. Suppose -165 = -u - f*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106762 (base 10) in base 13?\nAnswer: -39796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3714022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 11*u - 43. Give q(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, -5, -3, -1, 5, 87 in ascending order.\nAnswer: -20, -5, -3, -1, 3, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 811229.5t?\nAnswer: 811229500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 969 + -2966\/3. Let j = 15 - 5. Calculate the common denominator of (-1)\/j*(1 + -107) and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 83455454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234 is divided by 2110.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, 3, 62, -1\/5, -63\/8, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*h - 13 = -h, -4*j + 5*h + 1 = 0. What is the remainder when ((-4)\/6)\/(j\/333) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from {t: 4, j: 1, i: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-6))\/(1\/(-3)). Which is the third biggest value? (a) v (b) 3 (c) -0.5 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 6, -2*c + n = 6*n + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781148?\nAnswer: 2, 401, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (5*(sqrt(637)*-4)**2 - (0 + sqrt(637)*-4)).\nAnswer: 28*sqrt(13) + 50965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 1705 = -7*p + 54*p + 19*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10338 = -100*j + 16662. Calculate the lowest common multiple of 90 and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8453 - 8452. Solve -3*p - a = -4*i + 5*i, p = 2*i - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 648 - -2395. Suppose -q*o = -3039*o - 400. Let z be 2\/((2\/25)\/1). What is the highest common factor of o and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 24. Let k be (-2)\/6*-3*u. What is the first derivative of -k*f + 2 - f + 5*f - 3 wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*d**2*g*q + 3*c*d**2 - 2*c*g**2 + d**2*g**2*q + d**2 - 22*q wrt c.\nAnswer: 2*d**2*g*q + 3*d**2 - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10592854979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 10*v - 3*q - 3, -4*v - 11 = q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45\/8, -1\/7, 4\/29, 0.068, 3?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprypyprrrrprpy. What is prob of picking 1 p and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41768 bigger than 41767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.8 - -14. Which is the third smallest value? (a) h (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3848 is divided by 1884?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -134*z + 72*z - 84, 48 = 7*z + 5*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 285?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:38 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -134, -317, -574, -905, -1310, -1789?\n\"Answer: -37*f**2 + 2*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006177146344 rounded to four decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, 1 u, and 1 x when four letters picked without replacement from ovkxu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2869 + 2880. Let a = 0 + 0. Solve 3*l + 4*h - p = a, h + 13 = 4*l - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g - 2. Let i(a) = 266*a + 77. Let j(u) = -2*i(u) - 77*p(u). Let w(v) = 2*v**2 + 22 - 22. Give w(j(y)).\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - (-1 + -2 - (11 - 16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 11. Let m(a) be the second derivative of -a**2\/2 - 2*a. Let h(s) = 22*m(s) + 2*q(s). Let n(k) = 3*k. What is h(n(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/(-9))*1\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*b**2*f + 9*b**2 - 5*b*f + 368*b - 83822118*f wrt b?\nAnswer: 100*b*f + 18*b - 5*f + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2175102 and 18?\nAnswer: 2175102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -823.656 - 0.344. Let i = a - -830. Which is smaller: i or 20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -41. Let u(d) = 2*d**3 - 12*d**2 + 16*d + 12. Let j(z) = -z**2 + z + 1. Calculate v*j(x) + u(x).\nAnswer: 2*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**9\/m)\/m*m)\/m)\/(m*m**(1\/4))*(m*m**7)\/m*(m*m**(1\/5))\/m assuming m is positive.\nAnswer: m**(279\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 84*p**2 + 38*p - 124. Determine t(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*s**3 + 216\/5 + 46\/5*s**2 + 208\/5*s.\nAnswer: -2*(s - 27)*(s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*l - 13 = 0, -2*l + 50 = -r + 49. Solve u + 1 = r*x, -x + 0*x + 15 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 13*z**2 + 27*z. Give y(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35229 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 3) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -242 + 212b8?\nAnswer: 21076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323221312232 + 212?\nAnswer: -323221312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6600\/(-641300))\/((-24)\/132).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -728, -728, -720, -698, -656, -588?\n\"Answer: l**3 - 2*l**2 - l - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 + 6 = 0. Let k be 2*(0 + -4 + 47\/12). Which is the second biggest value? (a) k (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1648020 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -911774.7 + 911728.652229. Let j = -0.053771 - s. Let u = j - 46. Round u to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 51*x**4 + 22*x**4)*(1 + 3*x - 1).\nAnswer: -78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 96*g**2 - 1 - 94*g**2 - 4 - 2*g in the form b*g + v*g**2 + p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-8) + 9\/(-12). Let j(s) = s**3 - 3*s**2 + 2*s - 1. Let d be j(2). Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944087791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/12*15\/20 - 42\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 1. Let l be s(-1). Let v = -1 - l. Suppose -4*i + 20 = -v*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 37.4. Which is the biggest value? (a) -1 (b) o (c) -0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966\/17710*(-11)\/(-6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 3:34 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 + 4. Let x(t) be the second derivative of -t**4\/4 - 6*t**3 + 1577*t. Give r(x(p)).\nAnswer: 9*p**4 + 216*p**3 + 1296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 4, b: 8, u: 1, h: 3}. What is prob of sequence hhh?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - -0.31. What is the third biggest value in x, -1, 4, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1343*l**2 + 15778*l - 13*l**2 + 4 - 15778*l in the form v + i*l**2 + y*l and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/(((-4)\/(-92))\/(8 + -5 + -4))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -536?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80287, 11, -3.\nAnswer: -80287, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(700) - sqrt(700)*-1) + 3 + 1)**2 + sqrt(700) + (0 + sqrt(700) + sqrt(700) + sqrt(700) + -4 - sqrt(700))**2 + 5)*2.\nAnswer: 20*sqrt(7) + 11274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -633\/352 + 75\/32. What is the closest to s in 1, -0.06, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 1:07 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -17. Let u = q - -8. Let x = 174.5 + -174. Which is the second biggest value? (a) 0 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219262, -219216, -219170?\nAnswer: -219124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69632021 to the nearest integer?\nAnswer: 8345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 + 4*z + 8. Let x be m(7). Suppose -3*y - 2*w - 1 = -x, -4*y = 4*w - 44. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/601 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 2*o + 30 = 0, 8*j + 3*o + 20 = 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272.6 to the nearest 10.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 1}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -4*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-40) + (-84)\/20 + 4. Let r be 2\/(-4 + 452\/38). Let m = r - -2\/25. Which is the biggest value? (a) -0.3 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -930*s - 3063*s - 1179*s - 4572*s to y*s + u and give y.\nAnswer: -9744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 65*x + 75. Give z(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 - 146.9. Let c = 482 + -470. Let f = c - o. Sort -4\/7, f, 3\/4 in descending order.\nAnswer: f, 3\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 23*t - 170. Let p(i) = i**3 + 8*i**2 + i - 16. Let r be p(-7). What is the tens digit of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 > 7229\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooohoohgo. Give prob of picking 1 o and 1 g.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 2, 0 in increasing order.\nAnswer: -32, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = f + 5*i + 8 - 6, -8*i - 33 = -9*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + (-45)\/(-27) + 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.28 + 3.88. What is o rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 - 0.513013.\nAnswer: -203.513013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3b842b (base 12) to base 10\nAnswer: -989027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*s + s - 14, 6 = 2*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6*4\/(-18))\/(1\/6). Let g(u) = 44*u**2 + 10*u + 51. Is g(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 16*k + 144. Does 16 divide o(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -80*d**5\/17 + 6802*d**4\/17 + 14390*d**3\/17 - 56044*d**2\/17 + 1392*d\/17 = 0.\nAnswer: -4, 0, 1\/40, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 3 + -1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f**3 - 2*f**2 - 11. Let b be 2\/(-6) + (-3)\/(63\/(-196)). Let j(p) = 5*p**3 + p**2 + 5. What is b*j(x) + 4*u(x)?\nAnswer: x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150379064*o*t**2 + 181900*t**2 - 83*t with respect to o.\nAnswer: -150379064*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3065764851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4. Let y = -3 - -8. Suppose -u = 4*k + y, u + 2 = -4*k - u. Are z and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -1 (c) 4 (d) 2\/314177\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = u. Let m be (-462)\/12*1*u. What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4126 times -0.0958\nAnswer: 395.2708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2*y**5 - 3*j**2*y**2 + 140*j*y**2 + 70*y**5 wrt y?\nAnswer: 180*j**2*y**2 + 4200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -d7b9be (base 15) in base 11?\nAnswer: -5881755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2022)\/1010 + 4\/2). Suppose -y = -3*h - 5*y + 286, 5*h + y - s = 0. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9878403 is divided by 1646395?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 661, 6, 3, -727, 4, 2, 0 in ascending order.\nAnswer: -727, 0, 2, 3, 4, 6, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -4*-1*sqrt(12))\/(sqrt(12)\/sqrt(2)*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*v - 2*v + 209, -8 = 4*v. Let p = f + 58. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/(-6) - 18\/27. Let z(x) = -x**2 - 9*x + 18. Let a(s) = 4*s**2 + 46*s - 90. Let h(v) = d*z(v) - 3*a(v). Factor h(k).\nAnswer: 2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*p - 494, -5*p = o - 4*p - 253. Let k = o - 151. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -6, 33*m - 37*m = 5*c - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*b + 40 = 0, -s + 4*b - 2*b = -12. Suppose -12*q + 16*q = 60. Let t = s - q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 2398.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3\/2 + 375*n**2\/2 - 5*n\/2 - 375\/2 = 0.\nAnswer: -75, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/10 + 42\/30. Suppose -3*b + 37 = -3*a + 4, -3*a - 5*b = 17. Let m = k - a. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -0.1\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15 (b) -4 (c) 5 (d) 1 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*q = 97*q - 14112. Sort 5, q, 2 in descending order.\nAnswer: q, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 t when four letters picked without replacement from hhtqtthh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - c**2 + c**2)*(-2*c**2 + 0*c**2 + c**2) + (2*c**2 - 2*c + 2*c)*(-4*c - 2*c**3 + 4*c) - 3*c**5 + 3*c**5 - c**5.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**5\/25 - y**4\/10 - 2*y**3\/5 + y**2\/5 + 4*y\/5 + 26. Factor g(z).\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.92 + -14.7466. What is i rounded to 3 dps?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25860.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 579, 1391, 2565, 4281, 6719, 10059, 14481?\n\"Answer: 30*u**3 + u**2 + 599*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 17*d + 168 = -5*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 859 (c) 14\/87 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5575 by 5.\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137622, -275376, -413262, -551280, -689430, -827712, -966126?\nAnswer: -1104672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Suppose -4*m = -28 + 8. Let k be t(m). Let i = 10 - k. Solve 1 - 6 = i*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**(3\/10)*(i\/i**10)\/((i*(i**(-2\/3)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -299 or -292?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -25.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(81\/57) + -2 + 5. Determine w, given that -x*w**3 - 2*w + 8\/3*w**2 + 0 = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/((-344)\/(-48) - 8). What is the nearest to q in 3, -0.5, 15, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 5*c - 2*c**2 + c - c + (c + c + c)*(c - c - c) + 2*c - 2*c - 2*c**2 + 3*c**2 + 141 - 141.\nAnswer: -4*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/3 + (2 - 4 - -5). Let s(g) = -4*g**2 + 9*g + f*g**2 - 8*g - 2. Determine s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -13.\nAnswer: -13, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/133)\/(6\/14)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-2\/9)*q)**(-36))**(-9\/5) assuming q is positive.\nAnswer: q**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(-h - 7*h + 4*h)*(1 - 1 - h**3).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 9) + -10 + 9 - 31?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -12, -21, -30?\n\"Answer: -9*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16720302 is divided by 1654?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((976\/2928)\/(2\/69))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 127*m - 117. What are the prime factors of t(24)?\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -641, -644, -649, -656, -665, -676, -689?\n\"Answer: -m**2 - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/2 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*-1*1)\/sqrt(8)*4 + -5*sqrt(833)*1*-1)**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 374 = -319 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 64, 156, 302, 514, 804?\n\"Answer: 2*a**3 + 9*a**2 + 9*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 23. Put t, -2, 2 in decreasing order.\nAnswer: 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 12:29 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t. Let c be (-5)\/3*(3 + t). Let s = 27 + c. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64\/48*(-4)\/((-16)\/15). Suppose 0 = 3*d - 2*k - 5, r*k = 4*d + d. Let 14*q**3 + d*q**4 + 28\/5*q + 4\/5 + 69\/5*q**2 = 0. Calculate q.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add -13993725718400 and 7.\nAnswer: -13993725718393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1459*y**4*z - 19*y**2 - 31*y + 4901974*z wrt y.\nAnswer: 5836*y**3*z - 38*y - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 2*g**7\/7 - 29*g**3\/6 - 34*g. What is the second derivative of k(y) wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -374*p - 17121. Give t(-42).\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/8 + 12\/(-16))*-1. Suppose -n = 5*d - 491. Let a = -62 + d. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*q + 5*q**3 + 2*q**3 - 6 - 10*q**2 - 5*q**3 - 39*q - 3*q**2 to the form a + b*q + z*q**3 + u*q**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 160 = -15*z. Suppose 4397 = z*t - 2475. What are the prime factors of t?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.51, -4, -21.\nAnswer: -21, -4, 1.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v = 47*v - 1910. Let r = 1690 + v. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -218, 1.\nAnswer: -218, -69, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.66444 to 2 decimal places.\nAnswer: 3.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-87 + 139) - -53.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1402\/(-4)*1)\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 621 + 621. Let k be (1 - 0)*(-2 + 5). Solve -3*s + j*s**k + 5*s**3 - 2*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 4*o**2 - o - 2. Suppose 0 = 5*d + 6 - 26. Let p be b(d). Let y = p - -10. Solve -y*h + 20 = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/13)\/v**12*v**7*v\/(v**(-9\/4)\/v))**12 assuming v is positive.\nAnswer: v**(-81\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-33) - (-9691)\/(-726) and -94\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4 - 116*h**2*k**3 + 2*h**2 - 105*k**3 with respect to h.\nAnswer: -8*h**3 - 232*h*k**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67503537379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*r**2 + 3 + 2*r - 12*r**3 + r**2 + 2*r**2 - 11*r**2 + 13*r**3 in the form u*r**2 + j*r**3 + v*r + o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/(-480)*3\/(-12)*(-2)\/3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 762 and 0.6.\nAnswer: 457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.920082 and -0.5.\nAnswer: 0.960041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3009624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056879804 rounded to 5 decimal places?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1577785270 + 1577785408.9999878. Let j = -140.2 + 1.2. Let s = j + v. What is s rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 29, 55, 89, 131?\n\"Answer: 4*o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.03, 683, -0.2, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2503790 (base 12) to base 10\nAnswer: 7222428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10066, 18851, 27630, 36403?\n\"Answer: -3*j**2 + 8794*j + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38*z**2 - 14*z - 27. Let w(f) = -2*f**2 - 2*f - 3. Give 2*k(j) - 14*w(j).\nAnswer: -48*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.13*573.\nAnswer: -17264.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10476, -20942, -31396, -41832, -52244, -62626?\n\"Answer: h**3 - 10473*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, l: 8, w: 1}. Give prob of sequence lwss.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-16 - 0 - (12 + 15 + -22))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 - 143 = -5*s. Let j = s - 101. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841057 is divided by 60062?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871256.4 grams to milligrams.\nAnswer: 871256400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -391763.7?\nAnswer: 78352.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 74534\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 88175377?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/5 or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 53491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 = -2*z, 2*z = -0*z + 5*x - 23. Let g = -4 - z. Suppose -60 = -g*n - n. Calculate the highest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-29)\/k)\/(k*k\/(k*k\/k**21)))\/(k**2)**(2\/9) assuming k is positive.\nAnswer: k**(-454\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -21*a**3 + 2*a**2 - 11*a + 15. Let t(n) = -29*n**3 + 4*n**2 - 10*n + 13. Calculate -2*t(h) + 3*u(h).\nAnswer: -5*h**3 - 2*h**2 - 13*h + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, -3, 12 in ascending order.\nAnswer: -3, 12, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22261 divided by 11?\nAnswer: -22261\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 734337943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 + 4*o - 14. Let f be w(4). Calculate the greatest common factor of f and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s**(-2\/5)\/s)))**(9\/7))**31 assuming s is positive.\nAnswer: s**(837\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -710, -856, -1124, -1556, -2194, -3080, -4256?\nAnswer: -5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 5136*p - 103207. Calculate r(20).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75546999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 2:49 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 5*s + 4. Let g(u) = -4*u**2 - 10*u + 7. Determine 4*g(d) - 7*k(d).\nAnswer: -2*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -711077, 5, -5 in decreasing order.\nAnswer: 5, -5, -711077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g - 115. Let w(a) = 27*a - 225. Determine -2*w(v) + 5*y(v).\nAnswer: 36*v - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 2*u**2 - 4*u - 4. Let w be x(-2). Does 16 divide ((-2)\/w)\/(-3*(-1)\/540)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:22 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/4)\/((-6)\/32). What is the greatest common factor of 30 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - m)*(-21*m**2 + 99*m**3 + 7*m**2 - 98*m**3 - m**4).\nAnswer: 2*m**5 - 2*m**4 + 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 62, 100, 126, 134, 118, 72, -10, -134?\n\"Answer: -w**3 + 45*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -617583 (base 12) to base 10\nAnswer: -1526643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-688)\/(-96) - 8 - 71\/(-6). Solve 7*y = -h - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (26 + 33 - 35).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 6*n**2 + n - 13. Suppose -11*o + 3*o + 48 = 0. Let t be h(o). What is the second smallest value in t, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -389 - 1003. Let y = -324 - d. Suppose -y = -3*p + 397. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:51 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79928 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 4*c**2 + 3 - 3. Let b be y(-1). List the prime factors of (-1 - b)\/((-9)\/30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81452638.\nAnswer: 2, 149, 443, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-1716)*-11)\/(3\/2)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60331788391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**5 + 9*y**2 - y**5 - 4*y**5 + 0*y**5 wrt y?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/24 - 5*t**3\/6 - 6*t**2 - 3. Let i(z) = -2*z - 6. Let b be i(-7). Calculate the remainder when 5 is divided by l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -14. Suppose 3*p - o - 14 = 0, o - x*o + 6 = -p. Calculate the lowest common multiple of 18\/5 - 2\/(-5) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(13) - 6*sqrt(637) - (4 + -5*sqrt(13))**2).\nAnswer: sqrt(13) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 10 = -35*b - 4*s, -5*b + 2*s + 50 = 0. Let r be 52\/b - 12\/60. Solve 20 = -r*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 1. Let k be w(2). Suppose 0*b = 3*b - k. Suppose -5*o + 27 = b*y, 0 = 3*o - 7*o. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001110 + 101110111010000?\nAnswer: 101100100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - -11)*-1*343659\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1216\/(-912))\/(0 + 8\/132)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0162 + -59.8838. Let d = a + 63. Let p = d - 7.5. What is p rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.83 + 198.57. Let b = -99 + g. Round b to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 13*n**4 + 2*n**2 + (-4*n + 3*n - n)*(-2*n**3 + 6*n**3 - 2*n**3).\nAnswer: -17*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3. Let i(h) = 6*h**3 - 11*h**2 + 2*h - 2. Calculate i(u) - 2*p(u).\nAnswer: 4*u**3 - 11*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 31*u + 618. What is the hundreds digit of m(51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (4 - 104\/12)\/(34\/(-1020)*5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*r + 48*r + 86*r in the form v + b*r and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-20))\/(3\/(-15)). Is 13 a factor of (n + -2)\/((-1)\/13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52054784.9999784 - -52054758. Let h = f - -27. What is h rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 860887, 860889, 860891, 860893?\n\"Answer: 2*q + 860885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1781, -1740, -1691, -1628, -1545, -1436, -1295?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 m when four letters picked without replacement from wmwwimwibwbwwbmwiwwm.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*a = 60*a + 69654. Is a a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187162 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/48*(1 - 0) - 9\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41580 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 35*o + 13. Let w be d(16). Let l = 42 + w. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - g**4 - 29*g - 1 - 6*g**3 + 28*g + 2*g**4 to the form j*g**3 + l + f*g**2 + h*g + o*g**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 2*j + 9. What is the least common multiple of v(-3) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 12*o**2 - 5*o + 8. Let g(t) = -t**2 + t + 1. Let u(s) = 5*g(s) - n(s). Let q be u(-8). Round q to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 3 = 5*o. What is the remainder when o is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 58*v. Let x(p) = -6*p. What is x(b(y))?\nAnswer: -348*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 - 14*t - 14. Let h be (1 - -6)*(-12 + 3 + 10). List the prime factors of g(h).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 2 - 5)*(428*z**2 + 176*z**2 + 626*z**2).\nAnswer: -1230*z**3 - 7380*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807757, -807712, -807637, -807532, -807397?\nAnswer: -807232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/582 and 139\/66.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f**2 + 0*f**2)*(2*f + 2*f - 3*f) + 4*f**3 + 7*f - 7*f + (0 - 3 + 2)*(-2*f**2 + 2*f**2 + 2*f**3) + f**3 - 2*f + 2*f - 3*f**3 + 0*f**3 + f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v - 4. Let q(w) = 4*w + 2. Give 3*b(a) + 7*q(a).\nAnswer: 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27862383*h**4 - 5708965*h**2 wrt h?\nAnswer: 668697192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 3*c + 33. Let n be z(-4). Let a(x) = 2*x - 6. Calculate a(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -15. Calculate the remainder when n is divided by ((-18)\/(-5))\/(3 - (-27)\/(-10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51*168\/408*-1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 - ((0 - -1 - -8) + -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5) - ((-20608)\/(-630))\/32?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2866 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 + 42?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61.1051 centuries?\nAnswer: 611.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790557743?\nAnswer: 47, 59373569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 240, 593, 1142, 1917?\n\"Answer: 5*u**3 + 53*u**2 - 7*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 5. Let o be q(-5). Solve o*t + 3 + 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 32. Let p = c + 19. Calculate the remainder when 23 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12759179.\nAnswer: 12759179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 41. Let k be ((10\/4)\/(-5))\/(-1). What is the nearest to -2 in -1\/4, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.148 + 0.135. What is the third smallest value in 0.5, q, 1\/89?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8060 a factor of 69018982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2*-1 + sqrt(5) + sqrt(40)\/(sqrt(24)\/sqrt(3)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -17*y**8\/336 - y**7\/210 + 7*y**6\/24 - 328*y**4 + 6236*y**2 + 1. What is the second derivative of m(u) wrt u?\nAnswer: -340*u**3 - 12*u**2 + 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**19\/(y**(-1\/2))**41)\/((y**(2\/7)\/((y*y**(2\/11))\/y))\/(y**(-2)\/y*y**(1\/4))) assuming y is positive.\nAnswer: y**(7107\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, -0.21, 2\/21, 1\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**4\/3 - 48037*u**3\/3 - 48227783*u**2 - 2767609735*u\/3 - 682860475\/3 = 0.\nAnswer: -5995, -19, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -25 + -20 + -34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585116919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9959 + -9783. Calculate the greatest common divisor of 330 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18786678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 - u - 10. Let a be h(2). What is the greatest common factor of 1248 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127159091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 70. Let q be 1*12*(-1 - z\/(-12)). Let j(m) = -m**2 + 8*m - 8. Calculate j(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 1 - 103 - 19*m.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 811 + -806. What is the fourth smallest value in 0.5, n, -1\/5, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1271 + 1266. Let c(a) = -a**3 - 2*a**2 - 4*a + 7. Let l(r) = r**3 + 3*r**2 + 5*r - 8. What is u*c(h) - 4*l(h)?\nAnswer: h**3 - 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((1309\/2376)\/(-119)). What is the highest common divisor of 5886 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1753973.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 7*k**5\/30 - 7*k**3\/2 - 174*k**2 - 1. Let x(w) = 3*w**2 - 4. Calculate -4*l(t) + 21*x(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25455 + 25454.6. What is the fourth biggest value in -37, -1, -0.03, f?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0755 - -7.8545. Let i = -31.77 - d. What is i rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*3*(-22)\/9. What is the third derivative of -27*d**2 + x*d**3 + d**3 + 102*d**4 - 21*d**3 wrt d?\nAnswer: 2448*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalallxaxxalaaxa. Give prob of sequence ax.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {p: 1, k: 2, n: 1, b: 1, y: 1, q: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 3*u**5 - 7*u**5 + (2*u**3 - 5*u**3 + 4*u**3)*(-2*u**2 + 6*u**2 + 0*u**2) + (-2*u**3 + 5*u**3 - 4*u**3)*(-6*u**2 + 2*u**2 - 9*u**2).\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2498*3\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-1)**2 + 3)*-6 - ((sqrt(77) - sqrt(77)*-1*-1)\/(3*sqrt(14)\/sqrt(2)))**2.\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251706.6843 + 1.\nAnswer: 251707.6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 59*l - 1957. Calculate v(-43).\nAnswer: -2645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -186.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48585*c - 48502*c = -10458 for c.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31714854 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**3 + 11*l**2 + 6*l + 9. Let j(o) = o**3 - o**2. Let d(y) = 5*j(y) + m(y). Let z be d(7). Let i be (-3 + 8\/z)*-3. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 53. Suppose z = 57 + m. Let x = 121 - z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l**3 - l**3 - 44*l**3 + 20*l**3 + 16*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 + 176574*j\/5 - 2598198123\/5.\nAnswer: -3*(j - 29429)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3746, -7494, -11242, -14990, -18738?\nAnswer: -22486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584 divided by -128?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -244*h**3 + 7*h**2 + 6*h - 4. Suppose -3*l = 2*l + 155. Let k = -35 - l. Let v be w(k). Round v to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(3*sqrt(40))*5 - (3*sqrt(68) + sqrt(17) + sqrt(153) + sqrt(17) + sqrt(17) + -1)**2.\nAnswer: -2449 + 149*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/8 and -49\/11233896?\nAnswer: 11233896","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:47 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6137*x = -6197*x + 960 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -112426 minus -1.18?\nAnswer: -112424.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/3 + i**2\/2 - 441*i. Let d(x) = 3*x + 1. What is 6*d(l) - 7*u(l)?\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 1. Suppose -m + 15 = -4*l, -l + 5*m = 3 + 15. Let i(h) = h - 2. Let u = -17 + 18. Suppose 2 + u = 3*x. Determine l*y(p) + x*i(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*y - 2*y - 2*l, 5*l = -2*y + 4. Suppose -2*a = -3*w + 5, -2*a - y*w + w = -7. What are the prime factors of a\/15 - (-418)\/15?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1639980 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(425) + sqrt(425)*2 - sqrt(425)) + 2 + 1 + 1 + sqrt(425) - (1 + -2*sqrt(425) - sqrt(425) - (-5*-2*sqrt(425) + sqrt(425)))))**2.\nAnswer: 2040*sqrt(17) + 491336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -2. Let v = 85 - 84. Calculate the highest common factor of v and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88 + 3?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 2*s - 11. Let f(o) = -5*o**3 - 2*o**2 + 1. Let w be 126\/98 - (-2)\/(-7). Let y be f(w). Is 10 a factor of p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, c: 2, o: 7}. Give prob of sequence cv.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v - 70. Let w = 48 - 9. Calculate the remainder when w is divided by q(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 140087*q**2 - 6*q - 4*q**3 + 140087*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2074102\/359 or -5776?\nAnswer: -2074102\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 856\/4*(-419)\/(-838)*1*-1?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 1184*p**3 + 174044*p**2 - 351648*p + 176418.\nAnswer: 2*(p - 1)**2*(p + 297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**3 - 17*y**2 - 57*y + 7. Is x(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vci when three letters picked without replacement from vhcqqtvviqqhcqqvhi.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1152)\/(-192) - ((-181)\/(-24) - 1) and 127\/228.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 7?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 89*r**2 - 1209*r - 150. What is i(101)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = 4*g - 2*g, 0 = -4*y + 4*g + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.9 + -18. Let u = y + -6.9. Let f = u + 8.887. What is f rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36*(-2)\/38 + 2. Let s = -0.3 - -0.3. Let r = s - 0. Which is the third biggest value? (a) r (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1472612 = 5*p, -5*p - 822*b + 820*b = -1472621. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 73*p - 1414. What is o(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -12*w + 164 - 54 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 15*k**2 + 17*k - 36. Let o be j(14). Suppose -13*q + o*q = -595. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5275.2 rounded to the nearest 10?\nAnswer: -5280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.033\nAnswer: -0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28231 is divided by 9293.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6445, -25628, -57559, -102238, -159665, -229840, -312763?\n\"Answer: -6374*x**2 - 61*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 + 5128\/19. Let g = -74 - -367\/5. Which is the closest to x? (a) 1 (b) g (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let g = h + -1. Suppose -2*x + 10 = -g*x. Solve -x*c + c = 3*b + 7, 4 = -c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p + 52. Let z be n(-5). Let j be (5\/20*0)\/(z\/4). Which is smaller: j or 4\/39?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-159)\/212)\/(18\/16))\/((-1)\/(201\/2)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 3*n = 4*d - 19, b*n = -2*d - 3*d + 41. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101306 + -0.1.\nAnswer: -101306.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6844969812 to three dps.\nAnswer: -1.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10149 + 10161. Solve 6 = -o*v + 10*v + 3*y, -v = 2*y - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:02 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-10) - (-24)\/(-120). Solve -1104 + 1104 - c*i**2 + 13*i + 3*i**2 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 3 + 0 - t + 3*t**3 - t**2 - 4*t**3 to q*t + r*t**2 + i*t**3 + k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 8:27 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1750, 1772, 1812, 1876, 1970, 2100, 2272?\n\"Answer: l**3 + 3*l**2 + 6*l + 1740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -134*m**7\/7 + 77*m**3\/3 - 54. Find the third derivative of b(v) wrt v.\nAnswer: -16080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from mkkmmnnmvvvm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1556308638 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 - h + 126. Is j(0) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1093811 times 0.1151\nAnswer: 125897.6461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (7 + -25) - (6 - -131)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7407\/2 - 237063\/64. Calculate the common denominator of -73\/320 and x.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 107. Calculate the highest common divisor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*r**2*t**3 + 12*r**2*t**2*y - 2*r**2*t*y + 8*t**3*y - 2*t*y + y wrt t?\nAnswer: -168*r**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 461034.9 tonnes?\nAnswer: 461034900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgfg. Give prob of picking 1 d and 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x - 12. Let y be n(-6). Let d(l) = l + 7. Let o be d(y). Calculate the highest common factor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + x + 0*x = 46, 4*k + x = -80. Which is the biggest value? (a) k (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 3)*(-n + 5*n - n)*(-1 - 2*n + 1) to t*n**2 + c + d*n and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:02 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)\/(4\/(-6)). Let w = f - -3. Let j = 6 + w. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 0 - (-42 - -21 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (7 + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*z + 52*z**3 - 112*z**3 + 58*z**3.\nAnswer: -2*z**3 - 535*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z)\/(z\/((z**6*z)\/z))*(z*z**(-3))\/(z\/(z*z**(3\/5)*z*z)))\/((z**7*z\/(z**1\/z))\/((z**(3\/4)\/z)\/z*z**(-4)\/z*z*z)) assuming z is positive.\nAnswer: z**(-113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y - 129. Let t be b(7). Suppose 0 = t*w + 5*f + 43, -3*w + 5 = -3*f + 17. Let d(l) = l**3 + 8*l**2 + 4*l - 10. Give d(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -11 - 14. Let f be 10\/(-14) - (4 - n). Let j = 3431\/2055 + -2\/685. Which is the smallest value? (a) -1\/6 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45590494135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 - 248. Is 13\/6 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 0 - 3)*(3452*b**3 - 29*b**4 - 3452*b**3).\nAnswer: -58*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 11 - 7)*(1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*8\/(-6). Let r be s\/(-1 + -1) - -63. Suppose -4*y + 2*b + r = 4*b, -b = y - 14. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -46. Suppose -4*r + 16 = 0, -3*r + 11 = 2*n - 11. Solve n*h - y = 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 - 58 = -7*z. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 19 - -57 - (2 - -22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -872 divided by -231?\nAnswer: 872\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 17*j + 74. Let c be n(9). Sort -5, c, 3\/83.\nAnswer: -5, 3\/83, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*s = 22335, 5*s = -4*z + 9*z - 22295. Is z a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246445624?\nAnswer: 2, 30805703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 19?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 87. What is the third smallest value in -1, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22*(-27)\/(-2673))\/(1\/477). What is the highest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = 1140. Let h = 382 + -584. Let a = h - f. List the prime factors of a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:11 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.997909 + 10.003. Round n to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 3, p: 3, n: 2, t: 1}. What is prob of sequence stff?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -807 + 810. Find the second derivative of -270*q + 660*q**3 + 77*q - 872*q**o wrt q.\nAnswer: -1272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 18. Suppose k*q - 12 = 2*q. Let i(b) = 2*b**2 - 8*b + 3. Let m be i(4). Solve -m*a - q*s = 2*s - 9, 2*s + 15 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46648, -47177, -47708, -48241, -48776, -49313?\n\"Answer: -v**2 - 526*v - 46121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*t*x**4 - 2*t*x**2 - 122*t - 7*x**4 wrt x?\nAnswer: 552*t*x - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 7*b - 3. Let v be u(-7). Is v >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03074916 - -0.03084. What is j rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, 1\/3, -17, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 232439 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21692 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 10988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409 - -408. Let y = 2 + -2.2. Is x at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(66)\/(sqrt(24)*-2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91710186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14004 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + w**2 + w - 1. Let v be (-3 - -25)\/2 + -1. Suppose -4*z = 4*y - 40, z + z + v = 4*y. Suppose 7*p = z*p + 2. What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329181.28 rounded to the nearest one hundred?\nAnswer: -329200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3798\/2273 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3243 (base 6) to base 2\nAnswer: 1011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-7)*n*n*n**(1\/8)*(n**1*n*n)\/n*n*n**(-2) assuming n is positive.\nAnswer: n**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1\/(-3))\/(6\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8)*(-85)\/(-238)*(-4)\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 187.647 and -4.\nAnswer: 183.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)*s)\/s**(-19))\/(((s**(1\/8)*s)\/s)\/s**14) assuming s is positive.\nAnswer: s**(199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 5*f**2 - 3*f + 10. What is the tens digit of o(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 12.92. Let p = r + 0.08. Let g be 1*((-3)\/(-1) - 1). What is the nearest to g in p, 3\/2, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/5 - 65761652*h**3\/5 + 540574359221138*h**2\/5 = 0. Calculate h.\nAnswer: 0, 16440413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -1\/7 (c) 8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2852*f**2*g**2 - 104289*f**2*g + 4*g**2 - 22*g - 1669309 wrt f.\nAnswer: 5704*f*g**2 - 208578*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*i + 175*i = -22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2849 + -2874. Suppose -4*o + 192 = 5*b + 6, 0 = -5*o - 3*b + 226. Let u = t + o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061196649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:39 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/47 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 + 161*k - 38. Let i be d(40). Suppose -m - 1 + i = 0, 0 = s - m - 3. Calculate the highest common divisor of 14 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - 93 - (-18 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 - 13 = 0. Suppose o = -3*o - s. Let z(j) = -6*j - 6. What is the units digit of z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -65*x**4\/4 - 5*x**3\/3 - 3*x**2 + 5*x + 76. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 30898692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1291 - -2620. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 9*p**2 + 38*p + 294. Let o be i(-10). Calculate the greatest common factor of 1757 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -56*b**3 - 7*b**2 - 13*b - 3. Let s(y) = 19*y**3 + 2*y**2 + 4*y + 1. Let p(o) = -2*m(o) - 7*s(o). Let q be 1\/4 - (-10)\/(-8). Is p(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27688 - 66659.\nAnswer: -38971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**6\/240 - h**5\/30 - h**4\/16 + 2*h**2 + 3*h. Find g such that y(g) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -34, -22, 12, 74, 170, 306, 488?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137856 and 42.\nAnswer: 964992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(1*sqrt(243) + 3) + sqrt(2304)\/(sqrt(27)\/(sqrt(63)\/sqrt(7))))**2.\nAnswer: 1820*sqrt(3) + 14869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599428\/1623 - 10\/3 is divided by (-2)\/(-8) + (-63)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/(-70) - 177593\/(-14))*(-20)\/(-30)?\nAnswer: 3, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*(sqrt(5) + -1 + 3))**2 - ((-2*(sqrt(180) - sqrt(45)))\/sqrt(9))**2).\nAnswer: 122 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n - 2*n**2 + 4*n - 1 - 2*n**4 + 0*n to f*n**2 + v*n**4 + a*n + l + i*n**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + j**3 + 2*j + 1283 - 1287 - 4*j**2 + 4*j**2 - j**2. What is z(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**0*o**(4\/21)\/o assuming o is positive.\nAnswer: o**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2509, -3901, -5293?\n\"Answer: -1392*j - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -0.659\nAnswer: 0.01977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 1, z: 4, p: 1, c: 2, u: 1}. What is prob of picking 1 b and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Simplify ((z**(1\/2)*z)**(-24))**(4\/31)*(z\/((z*z*((z\/z**0)\/z)\/z*z)\/z)*z*z)\/z*z\/(z*z**4)*z**(1\/11)*z*z**(1\/8)*z*z*z assuming z is positive.\nAnswer: z**(-9355\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 12*b**2 - 35*b - 207. Let g be y(-8). Let l = 257 - -27. Let a = l + g. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + 11*w. Let p(k) = -2*k**2 - 3*k. Let u = 0 - -6. Let j(s) = u*c(s) + 22*p(s). Let m(q) = -6*q. Determine j(m(l)).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/575 in 12\/5, 1\/3, 0, 3, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/13, 0.1, 505, 3, -4 in increasing order.\nAnswer: -5, -4, -2\/13, 0.1, 3, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3637549 is divided by 88?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -4 + 0 + (19 - 9) + -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 182863.2 millennia in years?\nAnswer: 182863200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17826002 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -51474\/113, -4\/9.\nAnswer: -51474\/113, -4, -4\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.037? (a) 5\/8 (b) -0.08 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 20908*b**2 + 6936304*b.\nAnswer: 4*b*(b - 4871)*(b - 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1 (c) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47827\/35 != 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k + 428 = 128*k + 64. Factor -3\/2*x**3 - 9\/2*x**2 - 3 + 3\/2*x**k + 15\/2*x.\nAnswer: 3*(x - 1)**3*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 458512471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21030*l**2 - 2*l - 20912*l**2 + 2*l.\nAnswer: 118*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -601 or -603?\nAnswer: -601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4965 and 0.4.\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**2 + 557*s - 36. Does 49 divide v(-59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.033 and 96.91392.\nAnswer: -3.19815936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = g - 6*g. Let z = 6075 - 6070. Suppose 0 = -z*n - d + g, 0 = -4*n - 0*d + d + 26. Solve p - n = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**24*n**(-1)*n**(-2)\/n assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5 - -5) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3273154.\nAnswer: 2, 1636577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*x**2*z**2 - 1602*x**2*z + 38211*x*z**2 - 26683*x*z + x - 92*z**4 - 2*z wrt z?\nAnswer: -34*x**2 + 76422*x - 1104*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a1b - -2410?\nAnswer: 6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 2*a + a + 6*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*c - 25, -3*c - 5*h = -6*h - 1. Suppose 0*n + 12 = -c*n. Let l = 5 + n. Is l not equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 - 5)) + -6 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2103, 2062, 1989, 1872, 1699, 1458, 1137, 724?\n\"Answer: -2*m**3 - 4*m**2 - 15*m + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*f - f, -8 = 2*b. Let m be (-79)\/(-2) + (-2)\/f. Suppose -m = -3*z + 20. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w + 123*w - 17004 = -33*w. Calculate the highest common factor of w and 16809.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*j**2 + 393*j**2 - 1178*j**2 + 395*j**2 + 14*j.\nAnswer: 11*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + 70797\/(-4). Let d = n - -11699. What is d rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472479793.\nAnswer: 41, 9239, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 5332620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 8:57 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.912147 nanometers?\nAnswer: 0.000003912147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2758609?\nAnswer: 7, 37, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 136*l**2 - 195*l - 11185. What is c(138)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 41*a**3\/6 + 127*a**2\/2 + 20*a - 4. Give d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, 0.16, 1 in increasing order.\nAnswer: -200, 0.16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1817 = -12*l + 5285. Let o = -289 + l. Solve 0 = -4*t - o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5.9 (b) 6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 2 + 0 + 4*q**2 + 5 + 1670*q**3 - 1669*q**3. What is m(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 8803251.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 6*f**2 - 2*f + 23. Let z(q) = q**3 + 1. Let v(j) = -x(j) - 2*z(j). What is the smallest common multiple of v(-7) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 12. Let s = 8 + -17. Let n be b(s). Is (-1)\/n*(0 + -21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18432 (b) -86 (c) 3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-135))\/(35\/(3850\/(-352)))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 28*h**5 + 126*h**2 + 354*h. What is the first derivative of q(x) wrt x?\nAnswer: 1680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1569? (a) 1\/13 (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-12)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 4*j - j - 3*j - 2*j + 7*j + (-3 + 5 - 4)*(3*j - 2*j + j) + 4*j - j - 2*j + (-2 + j + 2)*(5 + 4 - 4).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 3*k**8\/8 + 31*k**4\/12 + 45*k**2. Find the second derivative of o(v) wrt v.\nAnswer: 2520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575 less than 8574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 484.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/3 + -14\/3. Let m be 1 - (6\/9)\/1. Let n = -0.21 - -0.15. Which is the third smallest value? (a) u (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1293*h**2 - 5158*h + 10. Determine v(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151164, 302330, 453496, 604662?\nAnswer: 755828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.655 + 6.7. Let c = a - 0.042. Let v = c - -0.097. What is the closest to 0 in v, 3, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21403104441 + -2?\nAnswer: 21403104434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/48 + (-1924)\/156.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*(-9 - (3 + -9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/224 and -15\/3598.\nAnswer: 57568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 6. Suppose -h*b + i = -35, -2*b + 4*i = -b - 7. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 - 204 = -f + z, 2*f + 4*z = 1206. Let w(k) = f*k - 6*k**2 - 601*k. Let v(b) = -5*b**2. Give w(v(h)).\nAnswer: -150*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-117))\/(((-8)\/36)\/((-44)\/(-33)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.872*0.3901.\nAnswer: -0.3401672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h**13*h)\/h)*h\/h**(-25)*h assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (595\/(-2618))\/(5\/3)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 - 0 - (10 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/14)\/b*b**(-29) assuming b is positive.\nAnswer: b**(-421\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 18. Let v be q(-14). Let i be v\/((-6)\/33 - (-48)\/22). Find the third derivative of 33*h**i + 181*h**4 - 153*h**4 + h**2 wrt h.\nAnswer: 672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q + 2. Let v be p(1). Let u be 21\/28 + (-6480006)\/v. Round u to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b + 12. Let o be ((-12)\/10)\/(b\/10). Find the second derivative of c**o - 16*c - 4*c**3 + 14*c wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32705389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/24 - (-2914)\/8. Suppose -51 = -5*f + n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -36*y - y**2 + 75*y + 19 + 1 - 31*y = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 3, v: 1}. Give prob of sequence kvks.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409558272 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 15) to base 8.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/33)\/(1\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqtsstvvttvtriviqq. What is prob of picking 1 s, 1 i, 1 v, and 1 q?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(3\/(-39)*-1). Let f(r) = -637*r. Let t(h) = -11*h. Let q(d) = s*t(d) + 2*f(d). Let i(j) = -7*j. What is 11*i(l) + 6*q(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 631981417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*n + 176, 4*n - 404 = -f + 6*f. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2467, 4933, 7399, 9865?\nAnswer: 12331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 + (-42)\/(-7) - (-616 - 3). Let j = -610 + h. Solve 2*w = -u - 3, -2*w + w - 5 = j*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -5*y, y = 5*m - 26525. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/1232)\/((-2)\/((-14)\/1))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 46*s. Let m(b) be the first derivative of b**2 + 2968. Give w(m(j)).\nAnswer: 92*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5\/4 + 3*l**4\/4 - l**3\/4 - 11*l**2\/4 - 3*l - 1 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 35. Let o = -25.7 - h. Which is the nearest to o? (a) -5 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-95 - -90) + (-3)\/((-3)\/2). Let f = 6 - 5. Suppose -5 = x - f. What is the closest to -1 in -2\/9, h, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 + (-9)\/(-3). Let h(p) = p**3 + 8*p**2 + 8*p + 10. Let f be h(-7). Suppose 4 = f*a - 17. Solve -3*v = -a*u + x*u - 9, v - 14 = 5*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 4 = -20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p - 3 - 1 + 4 - 2 - 1571*p.\nAnswer: -1693*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1\/(-3)*10\/(250\/15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1082, -1201, -1196, -1067, -814?\n\"Answer: 62*b**2 - 305*b - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/11 - (-1 + (-786)\/(-33)). Let d = k - -33. What is the least common multiple of 22 and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {z: 2, s: 4, u: 6, h: 3, i: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4660 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2797 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.011 and 1?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -84, -140, -208, -288, -380?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3567748, -7135555, -10703352, -14271133, -17838892, -21406623, -24974320, -28541977?\n\"Answer: n**3 - n**2 - 3567811*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13032102310 (base 4) to base 5\nAnswer: -441043211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 957609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -351, -1312, -2907, -5130, -7975, -11436, -15507, -20182?\n\"Answer: i**3 - 323*i**2 + i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -6*d - 29286. Suppose d = -5*n + 17344. Suppose -5*m + 3*m = -n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**7\/840 + o**6\/360 - o**3\/2 - 2*o. Let a(f) be the second derivative of l(f). Factor a(q).\nAnswer: q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7 = -5*w, 78*y = 82*y - w - 37 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u - 2*u**3 - 12*u**4 - 18*u**4 + 9*u**2 + 3 + 29*u**4 - 10*u as m + o*u**4 + q*u + r*u**2 + y*u**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3526\/3 - -1162. Find the common denominator of d and -73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/714*574\/4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0 - 2*t**2 + 0*t**2 + 0*t**2 + 8*t - t**3 + 1. Is y(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4129709, 16518876, 37167505, 66075596, 103243149?\nAnswer: 148670164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 218\/33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -203*o**3 + 15*o**2 - 12*o - 40. Let x(z) = 286*z**3 - 21*z**2 + 17*z + 56. Determine 17*a(y) + 12*x(y).\nAnswer: -19*y**3 + 3*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5229 divided by 249.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - (1 - -4)) + 2)*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccccccaacacac. Give prob of sequence ac.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.101 + 6.801. What is o rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 17*c**2 + 111*c + 319. Give w(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71 and 11.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 + 193. Let z be (38\/x - 1)*30\/66. Do z and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f. Let m(c) = -c. Let z(b) = -b. Let s(o) = m(o) - 2*z(o). Determine h(s(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**1)\/r)**(-10)*(r*r**(-2\/13)*r)\/r*r*r*r**(-8))\/(r\/r**5*r**(-2\/3)*((((r\/(r*r**(-1\/3))*r)\/r*r)\/r)\/r)**3) assuming r is positive.\nAnswer: r**(449\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/352*8 - 78\/(-56).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - 4*k)*(-2 + 5 - 1) + 198 - 198 + 2*k + (3 - 5 + 0)*(1 + 2*k - 1).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 12.2, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -5617475?\nAnswer: 5617474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q - 6. Let s = 2\/43 - -37\/129. Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*t + 294*t**2 - 426*t + 138*t + 145*t to n*t + m*t**2 + s and give m.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + sqrt(1331) - sqrt(1331)) + sqrt(1331))**2.\nAnswer: -132*sqrt(11) + 1367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902772 divided by 6.\nAnswer: 150462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-2)\/(sqrt(3) + sqrt(3) + sqrt(12)*3).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 + -16 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 2, h: 4}. Give prob of sequence hy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) - (-126)\/72. Solve q*a - a = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26746268 divided by 164.\nAnswer: 163087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/(-1482) - ((-472)\/13)\/(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/7287762 and 121\/11574?\nAnswer: 21863286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198430.\nAnswer: 2, 5, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 66 - 5) + -10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - k + 8 = 0, 10*r + 67*k = 66*k - 47 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.6 - 4.6. Let u = 239 + -265.6. Let l = u + m. Which is the second biggest value? (a) l (b) -2 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1132 != -1132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.4 (c) -9 (d) -6\/5 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n. Let x(y) be the first derivative of -y**5\/120 - 287*y**3\/3 - 68. Let d(j) be the third derivative of x(j). Determine d(f(u)).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-32 - 17 - -32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-14)\/(-4)) - -4. Suppose 0 = 3*i - q - f, -i + 2*q = 7*q - 2. Suppose v - 2*y - 18 = 0, 0 = -v + i*v - 5*y - 18. 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: What is the remainder when 7466 is divided by 2483?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043638 to three dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89842 = -265*i - 126*i + 1940*i for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-146)*(-1141)\/30807?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 295628155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-1484.5.\nAnswer: 41566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000088705 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.443 rounded to 1 dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5 - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-12)*(7\/(-3))\/(480\/90)*-12\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = 0, -2*v + 8*q - 5*q + 8 = 0. Which is smaller: -5\/6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 2*v + 14. What is the lowest common multiple of j(4) and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62589 equal to -62589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from cyqccyecytq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2004\/5344)\/(1323\/(-1680))?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.6. Let q = -0.4 + -1.6. Let t = q + 0. Which is the second smallest value? (a) t (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80081 and 0.6.\nAnswer: 80081.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -0.407?\nAnswer: 0.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4\/8 + 69*k**3\/8 + 17*k**2\/2 = 0.\nAnswer: -68, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -108.6 (b) 0.2 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/2 + 5*j**3\/6 + 5*j**2\/2 - 1015*j. Let m(b) = 6*b**2 - 6*b - 6. Give 6*m(s) + 7*t(s).\nAnswer: -6*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08149 + 0.18149. What is the nearest to 0 in 0, 5, y, -122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3210051411?\nAnswer: 3, 7, 73, 232663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -0.7. Let z = -1 + b. Put 4, z, -0.4 in ascending order.\nAnswer: -0.4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764841 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369158.\nAnswer: 2, 3, 7, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14766 - 14766.2. Suppose -4*r + 3 = -f, -6 = 2*f - 0*r - 3*r. Let y = -2 + 6. What is the smallest value in 1, y, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011111 + -1000?\nAnswer: -11110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 2. Let x(v) = -v**2. What is x(z(m))?\nAnswer: -25*m**2 + 20*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 24*k - 10 - k**2 + 12*k - 16*k. Give y(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3776)\/177)\/64*-17?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101111110001111101 (base 2) in base 14?\nAnswer: 2b2dc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 16) in base 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11084551 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/3, 19, 0.5, -1 in ascending order.\nAnswer: -10\/3, -1, 0.5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let a(z) = 11*z + 4. Let j(c) = 26*c + 13. Let x(u) = -u - 1. Let b(v) = -j(v) - 4*x(v). Let y(p) = -7*a(p) - 3*b(p). Calculate y(l(d)).\nAnswer: -22*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3600*c + 124265. Calculate h(-34).\nAnswer: 1865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*t - 2*t - 12, 0 = -4*t + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -810000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20321581 a multiple of 2599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - -1 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.1 - 47. Let z = -4 - -7. Which is the closest to t? (a) 4 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110214 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*13\/104*32\/(-28)*-5.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:37 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 23*g + 6. Let s = -13 + -10. Let v be r(s). Is 5 a factor of (-9)\/(-6)*4*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acacoocsoao. Give prob of sequence co.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -929, -932, -935, -938, -941, -944?\n\"Answer: -3*n - 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 7*k**3 + k**2 - 15*k**2 - 38*k**3 + 18*k**2 to the form p + m*k**2 + d*k**3 + l*k and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)**(-22)\/(l**7*l\/l**(-4\/5)))\/(l**(3\/2)\/l**(1\/6)*(l**(-2\/5))**(14\/9)) assuming l is positive.\nAnswer: l**(-3398\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008818795 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 8. Let v = n + -13. Let s be -4 + -2*1\/2. Is s > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 4080?\nAnswer: -4072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 h, and 1 x when four letters picked without replacement from {k: 1, y: 2, x: 1, h: 6, g: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.575 and -5.\nAnswer: 12.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1064.\nAnswer: -1\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.99999251 - 19. Round z to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*19\/(-2850))\/((-33)\/(-110))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 6*f + 7. Let l(o) = -o**2 - 1. Let n(a) = -b(a) - 6*l(a). Let c be (-3 - -10) + -3 + 1. Calculate the remainder when n(c) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4030043.\nAnswer: 29, 138967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.58701 + 0.41299. Let f = 19\/45 + -2\/9. Suppose -4*q = -3*q + 3. Which is the closest to w? (a) q (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 34*p + 57. Let s be c(-40). Let m = s + -293. Solve 2*z = 4*y - 22, 2*y = -m*z - 2*y + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -729 + 736. Solve x*y - 2*y = -20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/i*i*i*i**(1\/4)*i)\/(i\/i**(1\/4))**(-11) assuming i is positive.\nAnswer: i**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-6))\/((-485)\/(-34338)). Which is bigger: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379403 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.051 - 0.949. Let d be (-3)\/6*2\/(-7). Which is the closest to 0? (a) 0.5 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 97 = 2*w, 10*w - 13*w - 4*q + 173 = 0. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -2*i**2 + 1\/108*i**4 + 0*i - 1\/270*i**5 + 0 + 2\/27*i**3. Factor z(u).\nAnswer: -2*(u - 2)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 133. Let y be (-3 + 6)\/(-4*j\/(-4)). Solve 2*d = -u - y, -9 = -d - 3*d - 5*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 984\/73955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -g + 5, -3*x + 7 + 2 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-65)\/13 + (-20)\/(-3). What is the closest to 2 in g, 2\/5, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331040 (base 5) in base 11?\nAnswer: -3a863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -112. Let d be 306\/f + (-4)\/(-26). What is i in 2*i**3 + 0*i + 19*i**2 - d + 0*i - 13*i**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240191, 240195, 240201, 240209, 240219, 240231?\nAnswer: 240245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, u: 1, y: 1, d: 1, z: 2}. Give prob of sequence rt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d + 0 + 5 + d. Let x be s(-10). Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 6. Let i be g(0). Let t be ((-15)\/(-9))\/((-5)\/i). Solve 3*z + u + 24 = -t*z, 28 = -5*z - 2*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 40. Let z = -35 + -29. Let x be (z\/12)\/(-4) - (-32)\/12. Solve -5*q = -r + 2*r, h = -x*r + q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.24. Let d = 0.06 - x. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + (8 - 6) - -14) + 0 - 102?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x - 3*c - 195, -3*c + 21 = x. Let n be ((-268462)\/10)\/(x\/(-15)). Let l = n - 11193. Calculate the common denominator of l and -37\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t**(-15) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 - -189. Let r = 39 - l. Put -5, 0.34, 5, r in decreasing order.\nAnswer: 5, r, 0.34, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.031*-4548.3\nAnswer: 9237.5973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 1306592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*s + 2038 + 4202 = -349*s + 65*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 3*a - 9. What is x(11)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -722 - 87.\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137232 divided by 24.\nAnswer: -5718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let l be 42*(3 + -5 - s). Suppose -c + 24 = 3*b - b, c = -4. What is the highest common factor of b and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - f + 0)*(-2 + 2 + 1) - 1 - 2*f + 1 + (-3*f + 3*f + f)*(-1 - 1 + 0) - 3*f + 2*f + 2*f + 8*f + 3*f + f)*(4 - 6 + 0).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 846649 and 5977?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 71 = -5*m, 0 = -y + 1. Let r be (m\/6 + -2)*2. Let j = r + 2. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415.158 nanometers in meters?\nAnswer: 0.000008415158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 3, 87, 7 in descending order.\nAnswer: 87, 7, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 - 8*k - 6. Let s be a(5). Let i(w) = -5*w - 7. Let x(j) = 2*j + 3. Give s*i(p) + 9*x(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-44))\/((-6)\/(-44))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 27. Let r(q) = 2*q**3 + 27*q**2 + 34*q + 5. Let v(g) be the first derivative of -g**4\/4 + g**2\/2 - g - 2. Let m(i) = p*v(i) + r(i). Factor m(h).\nAnswer: 3*(h + 1)*(h + 3)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -29. What is the tens digit of (-1323)\/f + 2\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 - 6)*(-4 + 1 + 1) + (0 - 1 - 1)*(-1 + 3 - 4) + 0 + 2 - 1)*(4 - 3 - a + 5*a) as h*a + n and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -21*f**2 - 10*f + 21*f**3 + 36*f**2 + 24*f**2 - 59*f**3 = 0.\nAnswer: 0, 1\/2, 10\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 1154 + 3298 - m + 253.\nAnswer: m + 4705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188 (base 15) to base 16.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 + -223. Put h, 2, 16 in decreasing order.\nAnswer: 16, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1392*n + 2964*n + 192*n + 30 - 30 to t*n + w and give t.\nAnswer: 4548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + (sqrt(405) - ((2*(sqrt(405) + 0 - sqrt(405) - sqrt(405)) - sqrt(405)) + sqrt(405))))*5 + -5)*-6.\nAnswer: -180 + 1620*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**2 - 64*x + 3\/20*x**5 + 0 - 19\/12*x**4 + 29\/3*x**3. What is the second derivative of t(v) wrt v?\nAnswer: 18*v - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -26*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -1\/6*d**3 + 17\/2*d**2 + 0 + 18*d. Find the first derivative of a(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4836132 from 1.\nAnswer: 4836133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132496 and 14196?\nAnswer: 397488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) 0 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -613662 divided by 6\nAnswer: -102277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7379765, -14759528, -22139291, -29519054, -36898817, -44278580?\n\"Answer: -7379763*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/12*6*(-4)\/(-45).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 1121\/11. Sort x, 6, -3, -2 in increasing order.\nAnswer: -3, -2, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/318820 and -17\/159410.\nAnswer: 318820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 5812 + 18532 = 0. What is the highest common divisor of 600 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 + 33 + 537)*(-1 - i**3 + 1) - i**3 + 2*i**3 - 2*i**3 + (1 - 1 - 2)*(-5 - i**3 + 5).\nAnswer: -790*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 18*h + 4*d + 14 = 0, -4*d - 17 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -58*o. Let w(x) = 9*x**2 + 2*x + 2. Let v(l) = -125*l**2 - 25*l - 25. Let a(r) = -2*v(r) - 25*w(r). Calculate z(a(g)).\nAnswer: -1450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 (base 13) in base 8?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.3. Let x = -236 + 229. Let n = x - -10. Sort n, f, 0.4 in descending order.\nAnswer: n, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.63 - -0.63. Is c at most 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1127\/9 + -125. Let q = -8851 - -8855. What is the closest to q in 5\/6, p, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*h - 50*h - 32*h**2.\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/20 + 0)*(-10 + (-20)\/60)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98552151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 103305034?\nAnswer: -103305050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((12\/2)\/60)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:27 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a. Let g(f) = -1734*f. Calculate -g(j) + 578*r(j).\nAnswer: 578*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15525 and 49059.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-85)\/(-5) - 6\/(-2). Let h = 1 + j. Suppose -1655 + 185 = -7*w. What is the greatest common factor of h and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 694 - 443. Suppose 2*o + s = -337. Find the common denominator of 37\/20 and ((-315)\/o)\/(12\/5).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 minus 296.9?\nAnswer: -298.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1454532965 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let t = -618 + 614.81. Let o = t - -0.19. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1, w: 2, n: 5, g: 2, c: 5}. Give prob of picking 1 h and 1 n.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 230*g + 22064. Determine h(-96).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 11*t + 13. Let o be z(-9). What is the common denominator of (-50)\/90*189\/18 and (-19)\/(-15)*o\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.438 rounded to one decimal place?\nAnswer: 35.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (13 - 42 - -19)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/(-45) + 0 + (-212)\/120 and 59\/591?\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 473*k**2 + 1700. Let y(p) = -27*p. Give -176*y(m) - 5*z(m).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z - 75. Let g be b(7). Suppose 5*x + 2*v = 112, 2*x = -0*x - 5*v + 28. What is the highest common divisor of g and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -1\/12*a**4 + 0*a**2 + 0 + 18*a + 0*a**3. Let x(k) be the third derivative of k**5\/12 + k**2. What is w(x(c))?\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2001240.\nAnswer: -400248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5679723.0000095 - -5679719. Let y = -3.8 + -0.2. Let x = u - y. What is x rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 4*k + 4*k)*(-k + 3*k - k).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from mmmqqmmqqqmmm?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-2)*m*m)))\/m**(-1\/8))**(-2\/15) assuming m is positive.\nAnswer: m**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 9. Let f(t) = -2*t - 11. Let x(v) = -4*f(v) + 5*u(v). Determine x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58775*n**3*r**3 + 60*n**3*r + 240*n**2*r**3 - 6096*n**2 wrt n?\nAnswer: 352650*r**3 + 360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) -12 (b) -0.015 (c) 5 (d) -43 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*m + 104 = 2939 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799855765?\nAnswer: 3, 5, 7, 41, 216791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3 + (0 - 2 + 1)*(-3 + 0 + 1) + 0 - 5 + 4)*(-2*r + 8*r - 12*r) + (-3 + 3 - 2*r)*(1 - 1 - 8) as f + b*r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/7 - 2\/7. Let f be ((-2052)\/266)\/(4\/(-14)). Let j be (12\/3)\/(f\/81). Solve -8 - j = -i*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373612107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 269*u**2 + 1160*u - 18275. Calculate c(273).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/352 - 301\/22)\/((-303)\/202).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9901 + (9\/3 - 0). Suppose h - 3*z = 5*h - q, 3*h - 3*z = 7449. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-2))\/((-50)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 12. What is the lowest common multiple of (-1)\/(-2) - (-63)\/6 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1347 divide 127854827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -0.09 (c) -1\/7 (d) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 1653\/(-58) - -15)*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1058, 0, -2, -1, 1 in decreasing order.\nAnswer: 1, 0, -1, -2, -1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(0 + -1) + 4. Let m be 5 + (-24)\/60 + -6 + (-135)\/(-25). Solve -d*f + m*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 9 + 41*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*r + 321, -5*r + 1102 = 4*i + 531 for r.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 21 = 0, 3*t + 309*s - 312*s = 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, -27, -57, -71, -63, -27, 43, 153?\n\"Answer: z**3 - z**2 - 44*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**13*j*j**27*j*(j\/j**(-24))\/j*j**28*j assuming j is positive.\nAnswer: j**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15396)\/(-50037) - 198\/221.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15300 and 38505?\nAnswer: 2310300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 6*a + 4. Let i(r) = 14*r**2 - 17*r + 11. Suppose -g = 28 - 11. Determine g*t(s) + 6*i(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 10. Let j be q(-8). Suppose j*b + 0*b + 21800 = 0. What is b rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-8) - (-2 + -7*1). Let m(j) = 0*j - h + 9*j - 6*j. What is m(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.378913 rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/26 - 10\/(-65). Let u be 3276\/1651 + (w - 0). Let n = u + 11307\/254. What is the common denominator of -4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3909 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-48)\/(-4)))\/((17\/476)\/(-1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30257954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/68259 and -32\/70375029.\nAnswer: 70375029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -229, -515, -927, -1471, -2153, -2979?\nAnswer: -3955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(-1 + sqrt(72) + -1*sqrt(72) + -4))**2 + -4.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21779440 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 at least as big as 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0317 - -0.6643. Let z = 0.396 - s. Which is the second biggest value? (a) z (b) 2.1 (c) 5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40.533 and -7.7?\nAnswer: 48.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 25. Let c be 2*(-4 + (260\/8)\/5). Suppose 56 + 14 = -c*l. Let q be t(l). Solve 10 + 2 = q*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67\/2 + -33. Let j = 5 - 8. Let i = 17 + -12. Which is the closest to s? (a) j (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*c\/(((c\/((c**(-42)\/c)\/c*c))\/c)\/c)*c)**(-1\/8)*c**35\/(c**(-13\/3)*c) assuming c is positive.\nAnswer: c**(257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -519 - -521. Solve 16 - 22 = -j*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8595 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 928 - 933. Let q be -3*(-3 + (g\/20 - -3)). Factor -9\/2*h + q*h**2 + 15\/4.\nAnswer: 3*(h - 5)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1197385 divided by -239477\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -42. Calculate the remainder when d is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 3:43 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 - p**4\/12 + p**3\/2 - p**2 - 3*p. Does 5 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 18*p**2 - 3*p + 38. What are the prime factors of v(-18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rth when three letters picked without replacement from {r: 2, h: 4, t: 10}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 16. Let k be (-6 - -7) + d*-1. Let l be (-2)\/k - 1\/(-2). Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/15 - 14*s**3\/3 + 4802*s**2\/15 - 4402*s\/3 = 0. Calculate s.\nAnswer: -71, 0, 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 4*z + 2. Let b(v) = -3*v - 3. Let m(y) = -4*y - 4. Let s(p) = -3*b(p) + 2*m(p). Let c be s(-4). What is r(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 892206?\nAnswer: 1784412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640282712 and 30280.\nAnswer: 6056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - w - 167*w**2 + 78*w**2 + 0*w to the form h*w**2 + b*w + a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8820*i + 88443. Determine l(-10).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -405274 and 1.99 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120495 is divided by 60246.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*k**2 + 2136495*k + 1252458.\nAnswer: -3*(k - 24558)*(29*k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdq when three letters picked without replacement from {i: 1, v: 1, n: 3, q: 2, d: 3, u: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4*m - 9*m + 8)*(-49 - 19 + 10) as l + n*m and give n.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/5, 1.92, 0.1, -0.4, -1\/124, 0.4, -7?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.67 + 0.33. Let y be (-2)\/2*(-18)\/11. Let k = y - 115\/77. Which is the second biggest value? (a) o (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -86*i - 1 + 159*i + 0 - 81*i. Give r(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 2\/111 (c) -1\/4 (d) 3 (e) 0 (f) -902 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -2248.48 and -0.14.\nAnswer: 314.7872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 v when four letters picked without replacement from {v: 10, t: 4}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czjq when four letters picked without replacement from nqrqqjqqcqz.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0352152 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**9\/37800 + a**7\/6300 - a**4\/3 - 3*a**2 + 50*a. Let t(d) be the third derivative of v(d). Factor t(w).\nAnswer: -2*w**2*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2541 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/12)*b*b*b**(-1\/2)*b*b*b)\/(b**(-2\/13)\/(b**4*b*b))*((b**3\/b)\/(b*b*b\/b**9))**(-1\/22) assuming b is positive.\nAnswer: b**(17801\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*o + 151*o = 300*o - 1560 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -0.3, 2.9, -2\/5?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 177, 668, 1627, 3210?\n\"Answer: 26*b**3 - 3*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*n - 10, -5*r + 5*n + 18 = -12. Let y be r\/(15\/(-12)) - -5. Let a = -2.6 + -0.4. What is the nearest to y in a, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 + p**3 + 13*p**2\/2 + 3*p - 2469. Calculate s(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15473174 to the power of 1\/2, to the nearest integer?\nAnswer: 3934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643928 is divided by 547870.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102110011002210 (base 3) to base 14.\nAnswer: -b45818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*l**5 - 20*l**5 - 10*l**5 + 0*l**5 - 2*l**5 + 3*l**5 - 26*l**5 - 78*l + 78*l + (3*l - 5*l + l)*(-l**4 + 4*l**4 - 2*l**4).\nAnswer: -97*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - (-3)\/((-18)\/(-12)). Solve -3*i - 5 = -x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = 10*w + 2*w. Let z = w - -68. Differentiate 12*o - 15 - 12*o + 21*o**z with respect to o.\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 - 8*z - 11. Let o be v(9). Let g be -1 + (o - (-1 - 2)). Let q(a) = 1 - a + 2*a + g*a + 1 - a**2. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + z = 2, -3*t - z + 3 = -3*z. Is ((-2682)\/(-6) - -4) + t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 5*x**2 + 23*x - 5. Let k(f) = f**3 - 10*f**2 + 17*f - 16. Let c be k(8). List the prime factors of g(c).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/3 + 79*m**2\/2 - 3*m - 2. Let y be o(35). Solve -6*w = -y*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 4*b - 16. Let w(p) = -11*p**2 - 11*p + 49. Calculate 17*k(v) + 6*w(v).\nAnswer: 2*v**2 + 2*v + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25305 (base 7) to base 13\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32944 is divided by 630?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -81*v + 1. Let x(g) = 591 - 4*g**2 + 3*g**2 - 591 + 3*g**2. Determine s(x(q)).\nAnswer: -162*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 2*k)*(-7*k**2 - 10*k**2 + 6*k**2)*(k + k - k)*(-2 + 3 - 2) + (k + 0 + 0)*(-6*k**3 + 2*k**3 + 2*k**3).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27182 less than 3237351?\nAnswer: 3264533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1 - (-18 - 0)). Suppose 4*m - 2*s = 26, -2*m + 2*s + k = -0*s. Suppose m*o - o - 18 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/5*8\/(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/300 - 11*x**4\/120 - 13*x**3\/15 + 4*x**2 + 4. Factor i(q).\nAnswer: (q - 13)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038233912?\nAnswer: 2, 37, 401, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1618823948, 1618823940, 1618823920, 1618823882, 1618823820, 1618823728?\nAnswer: 1618823600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(2\/(-65)). Let n = 21 - u. Solve -6*v + n*v + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 5 - 358*y**2 - 10.\nAnswer: -358*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-11 - (7 + -13 + 5)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -0*i. Sort i, -5, 4 in decreasing order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0.5 (c) 6 (d) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6567250.\nAnswer: 2, 5, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -b6?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-42 + 29) - 23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3637, 3634, 3631, 3628?\n\"Answer: -3*p + 3640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:00 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 55?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 122*h**2 - 5*h - 81. What is the units digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*k - 9870 = -556*k - 36*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 8*q - 3. Let p(o) = -8*o + 4. Determine -3*p(u) - 4*s(u).\nAnswer: 12*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 23*w + 63 = 0. Let z(r) be the second derivative of -1\/240*r**6 + 0*r**2 + 0*r**4 + 0*r**w + 1\/80*r**5 - 1\/336*r**7 + 0 - 3*r. Factor z(b).\nAnswer: -b**3*(b - 1)*(b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4320\/383 or 11?\nAnswer: 4320\/383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28662 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 44. What is the lowest common multiple of k and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - 1 + 3 - t + 15*t**2 - 8.\nAnswer: 15*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.3, 59, 3 in descending order.\nAnswer: 59, 3, 0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and (-10)\/((-70)\/609) - (-1)\/((-3)\/(-18)).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1036143?\nAnswer: 1036146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(((-1316)\/616)\/47)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03222 - -0.028. Round c to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9398592 and 159840?\nAnswer: 46992960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -114494, -457943, -1030366, -1831769, -2862158, -4121539, -5609918, -7327301?\n\"Answer: -n**3 - 114481*n**2 + n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -704.0766 - -704. Let m = 369.9234 - q. Let y = m - 385.7. Round y to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 3*f - 21, -3*f - 18 - 18 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 202034 times -0.5\nAnswer: -101017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1341, 3, -118 in decreasing order.\nAnswer: 1341, 3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 1 + 4 + m + 3*m**2 + 1 + 1 to the form u*m + s*m**3 + r + g*m**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 3 - 4 + 2. Let y be i(-2). Solve 2*l + 3*v - 4*v - 5 = 0, 4*v = l - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46633824 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 17.4. Let l = 4.6 - r. Which is the nearest to -0.2? (a) l (b) -2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l + 1. Let j(r) = 5*r**2 + 4*r. Determine j(f) + 3*q(f).\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 - -601571?\nAnswer: 601502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/3 - j**3\/3 + 15*j**2. Does 5 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -592*y + 1192. What is t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -1031*j**4\/12 - j**3\/3 + 64*j**2 - 713*j. What is the second derivative of p(l) wrt l?\nAnswer: -2062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * 561.902.\nAnswer: 23599.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258163204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 10*q**2 + 12 - 81*q**3 + 10 + 80*q**3. Let y be t(10). Solve -3*j = -y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-6)\/10 - 219\/(-15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((-6*sqrt(18)*2 - sqrt(18)) + -2 + (sqrt(2178) + 1*sqrt(2178))*-3))**2.\nAnswer: 19908*sqrt(2) + 4044217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-9))\/16*-3*1)\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36842 is divided by 5262.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -98.308 and -3105605.\nAnswer: -3105703.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuwuuu. Give prob of sequence wuu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 14*a - 36. What is the least common multiple of a and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147444 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: Let r be ((-2)\/(-2) - 0)*-4. Let t = 6.95 + 0.05. Let x = t + -12. Which is the closest to -0.1? (a) x (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-254)\/(-16)*(-4)\/15 and 55\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -101888 and -0.26?\nAnswer: 26490.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2940 + 144 = 0. Let c = a - 507. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13034322 - -1?\nAnswer: 13034323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097484 - 0.5?\nAnswer: -0.402516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}