diff --git "a/data/dm_maths/full_data_2/1369_11255.jsonl" "b/data/dm_maths/full_data_2/1369_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1369_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -54*b + 66 = -376*f + 379*f, -4*f - b + 17 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)*-3)\/(sqrt(10) + (sqrt(70)*2)\/sqrt(7)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/15 + 1\/5. Let n(g) be the first derivative of -2 + 3*g**2 + v*g**3 + 4*g. Solve n(p) = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, n: 6}. What is prob of picking 1 l and 2 n?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18974 - 18971. Determine u, given that -1\/2*u**t - 3\/2*u**2 + 3*u + 4 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2121 (base 3) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-61)\/(7320\/432))\/(6\/(-440)). Calculate the highest common factor of 948 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36231675 to the power of 1\/2, to the nearest integer?\nAnswer: 6019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095112 a multiple of 691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**7\/420 + z**5\/10 + z**4\/6 - 26*z**2. Let o(f) be the third derivative of y(f). Determine o(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(72)\/sqrt(6)) + 5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/243295 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 4*q + 1116. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20626 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39444*f**2 - 7*f + 445839.\nAnswer: 78888*f - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398 + 749 - 150 - 201 + 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**5 + 6065*h**4 - 10*h**3 - 12130*h**2 + 5*h + 6065 = 0.\nAnswer: -1213, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.28 + 2.08. Which is the second smallest value? (a) -2\/7 (b) -0.5 (c) m (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -60. Let b be (-3)\/((2 - -1)\/(-1 + -1)). Suppose b*i = -22 + 80. What is the remainder when i is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -225, 79, 3\/7, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 13 = -5*v, -g + 17 = 5*v - 11. Suppose -4*j + 3*c + 43478 = 0, -6*j + v*c - 10881 = -7*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29349 * 0.2.\nAnswer: 5869.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p + 7. Let s be t(-5). Let x = 4789 - 4789. Solve 2*j - 11 = 5*y - s, x = -y + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose x*f - 165 = -0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -3*o**4\/8 - 5*o**3\/6 - 32*o**2 - 41. Let c(i) be the second derivative of m(i). Let b(j) = -2*j. What is b(c(q))?\nAnswer: 18*q + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399*c**5 - 193*c?\nAnswer: 7980*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -26*t + 66. Let b be m(-9). Suppose -26*s + 14*s = -b. Solve -14*y = -9*y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29342741, -29342743, -29342745, -29342747, -29342749, -29342751?\nAnswer: -29342753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 6*z**2 - 8*z + 9. Let y be 7 - 0*(-1 + 2). Let f be k(y). Solve -f*i + 2\/3 - 8\/3*i**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = -q. Suppose 5*y = 3*v + 65, -3*y - 3*v + 55 = -q*v. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((7 - -6) + 2 + -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1019?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 - 2*l**2 + 2*l - 4. Let f(h) be the third derivative of -h**6\/120 - h**4\/24 + h**3\/6 + h**2 + 1909*h. Let m = 0 - -4. What is m*f(a) + k(a)?\nAnswer: a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 2*q = 25*w + 77*w - 705 - 4092, 3*w - 2*q - 107 = 0 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033058 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 271552.523 to the nearest one hundred.\nAnswer: 271600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3)*-1*3*4 - (((sqrt(60)\/(sqrt(80)\/sqrt(8)))\/sqrt(2))**2 + 3).\nAnswer: -12*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -530 + 542. Suppose -506 = b - w*b. What is the remainder when b is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 4 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10715 + -4085. Round u to the nearest one hundred.\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2030 + 1949. Let i = -2 - 83. Let t = m - i. Solve 28 = 4*r + t*j, 2*j - 22 = -4*r - 0*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58119.\nAnswer: 3, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187554?\nAnswer: 2, 3, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2585*y**2 - 3*y**4 - y**4 - 4135*y**2 + 328*y**3 - 328*y + 6724.\nAnswer: -4*(y - 41)**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 + 154*l - 5392. What is c(23)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 270?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -34122402 to the nearest 1000.\nAnswer: -34122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.11, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 18902.\nAnswer: 18901.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/((-2)\/(-10)). Let s(r) = -9*r + 92. Let p be s(10). Let q(a) = a**p + 3*a + 2*a + 6 + 0*a + m*a. What is q(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-2 + -9 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26123 = 1172*u - 5521 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3390 + -6?\nAnswer: -3396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*n + f, n - 3 = 5*f + 2. Let b = 9 + n. Suppose 25 = b*j + j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9335 by -2.\nAnswer: -9335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i**3*o + 343371*i**3 - 2*i**2*o + 12314*i**2 - 4*i*o + 28 wrt i?\nAnswer: 78*o + 2060226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:23 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 2, m: 2, d: 1, h: 1}. Give prob of sequence bdhb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(1*-1*-1*sqrt(1900) + (sqrt(1900) + 1 - sqrt(1900))*-1*-1))**2 + -2.\nAnswer: -182498 - 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 8*l + 10. What is o(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n\/n**(-1\/4)))\/((n*n**3*n)\/n*n*(n*n\/(n*n**(1\/3)))\/n*n) assuming n is positive.\nAnswer: n**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6379889.\nAnswer: 577, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3 - 11. Let j(w) = -3*w + w**2 + w + w - 3. Let r be j(3). Solve r*l = g + 19, -v + 32 = -5*g + 2*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 4*w**2 + 5*w + 2. Let x(v) = v**3. Let l be 1\/2 + (-4)\/(-8). Let u(d) = l*o(d) - x(d). Factor u(i).\nAnswer: (i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 499.\nAnswer: 1\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*b**2 - 324*b**3 - 53*b**2 + 2 - 56*b**2 + 10 as u + k*b + w*b**3 + i*b**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14677)\/4516)\/((-1)\/(-2))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7850 greater than 7875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -13. Suppose w - 14 = 3*b, 0 = 2*w + 5*b + r + 6. Does 2 divide (6\/9)\/(w\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 966, 3864, 8692, 15450, 24138?\n\"Answer: 965*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 1\/10*x**4 + 0*x**5 + 0*x + 2\/45*x**3 - 19 - 4\/45*x**6 + 0*x**2. Suppose a(b) = 0. Calculate b.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 - 3 + 4*i - 2 + 2 + 3*i + i - i - 2*i + i + 2*i - 5*i + (2 - 7 + 4)*(-4 + 2*i + 4) + 0*i + 4*i - 2*i.\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let t be (-6)\/4*1\/n. Which is the closest to -1? (a) t (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*u = -229*u - 297. Let o(q) = 4*q**3 - 11*q**2 + 11*q + 35. Let f(v) = v**3 - 2*v**2 + 2*v + 7. What is u*f(a) - 2*o(a)?\nAnswer: 3*a**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25757152?\nAnswer: 2, 53, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9719 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11127?\nAnswer: 3, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -2*n + 7, 3*n = -3*z + 12. What is the second derivative of -7*s + n*s - 6*s - 7*s**2 + 0*s wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*y - 23 + 3 = 0, -5*x + 5*y + 30 = 0. Suppose 3*k + k - k**x + k**4 - 2*k**3 - 2*k = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w**2 - 140*w. Let t(p) = 28*p**2 - 282*p. Determine 9*h(x) - 4*t(x).\nAnswer: 5*x**2 - 132*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/(-42) - ((-7)\/(-5 - 37) - 0). Factor 70\/11*d + 12\/11 + j*d**2.\nAnswer: 2*(d + 3)*(11*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7 + 3 - 7*p + 8*p. Let k = 182 + -180. Suppose -k*o = 6*x - x - 33, -3*o = -3*x + 3. Let f(r) = -r + 4. Determine o*f(b) + 5*a(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.18 (b) -8 (c) 2 (d) -102840\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 72. Suppose 4*n - 112 - 15 = o, -3*o - 71 = -a*n. Suppose -2*y + n = -151. List the prime factors of y.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.12, 0.3, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/9 + 13687*b\/3 + 1517888\/9.\nAnswer: (b + 37)*(b + 41024)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 9 - 39 = 0. Suppose -128 = 4*o - 4*n, 5*o + f*n + 184 = -n. Let y = o + 37. Solve -y = 2*u + 4*r, 2*u = 5*r - 9 - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s + 3. Let n be a(0). Let y be (1 - 1)\/((-2)\/(-1)). Suppose 2*g = 10, g - 19 + 10 = -2*l. What is the closest to l in n, 0.4, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.5. Let p = -23.7 - -24. Which is the nearest to -4? (a) l (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234131 + 414224?\nAnswer: 130043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m - 461. Determine n(39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101101022 - 0?\nAnswer: 101101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 12?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-204)\/(-1564))\/(16\/1840)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -16, -5*v + 20 = -88*t + 90*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29968, -29908, -29836, -29752?\n\"Answer: 6*s**2 + 42*s - 30016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1776 and 563868?\nAnswer: 83452464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaamamaaama. Give prob of sequence mm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9999674 times 2.9\nAnswer: -28999054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3143 + 3?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 11 = -1. Let u(a) = a**3 - 2*a**2 + 3*a - 2. Let b be u(2). Suppose -n = -b*n + 30. Put l, n, 3 in decreasing order.\nAnswer: n, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 190*l**4 + 64*l**4 + 201*l**4 + (2*l**2 + 1 - 1)*(l**2 + 1 - 1).\nAnswer: 457*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3297 - -8894. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(-1 + sqrt(99))*3)**2.\nAnswer: -17496*sqrt(11) + 291600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9)\/((-45)\/(-18)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1342313 (base 5) to base 12\nAnswer: 14135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -29*p**4\/4 + p**3 - 6*p + 68. List the prime factors of k(-2).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4845, -4843, -4839, -4833?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 28280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 3*h**3 + 2*h**3 + (3 - 4 - 2*h - 3)*(-h**2 - 2*h**2 + h**2).\nAnswer: h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 14. Suppose -11*k = -8*k + 33. Let g be r(k). Solve 0 = g*u - 6 + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 4*m + 2. Let v be r(2). Suppose v*i - 25 - 17 = 0. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 24 = -4*s. Suppose 6*o = -s*o - 216. Let h be 50\/o + (-17)\/(-102). Are -5 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((35\/28)\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -444*i**2. Let t(k) = 5*k. Determine x(t(g)).\nAnswer: -11100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from {l: 2, h: 9, q: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 33*f**2 + 40*f + 245. Let s be y(-32). Let a(z) = -z**2 + z + 2. Let j be a(3). Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2*4\/(-8) + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 8*a**2 + 201*a - 119. Let l be i(-19). Let d(x) = -4*x - 3. Let f be d(-2). Solve -f*z = 2*n - l, 2*z - 2 = -3*n + 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12221 (base 3) to base 6\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15646.765 rounded to the nearest ten?\nAnswer: -15650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19916 + 19915.8. What is the closest to 0.1 in j, 3\/188, -3?\nAnswer: 3\/188","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 28*t - 72*t)*(3*t**2 - 5*t**2 + 4*t**2) + 2*t**2 + t**2 - 2*t**3 - 4*t**2.\nAnswer: -110*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 448\/12. Suppose 0 = -3*t - 3*f + 6, -2*t + 7*t - 4*f - k = 0. Sort 2\/3, -0.2, t.\nAnswer: -0.2, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 1\/48*n**4 - 1\/240*n**5 + 87 - n**2 + n**3 + 0*n. What is j in p(j) = 0?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12670472557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*i - 328*i - 521*i + 1974 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20835197961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -435, -1\/4, 58, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1536 + -1369. Calculate the remainder when 5675 is divided by r.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*b - 3*s + 13 = 125*b, 28*s - 106 = -6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1811*q - 8299 = -22787 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15372780700 to the nearest 1000000.\nAnswer: 15373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2)\/r*r)**48)**7 assuming r is positive.\nAnswer: r**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 2. Suppose -5*n + 3*b - 5 = 0, -5*b = d*n + 2 + 1. Is n greater than or equal to -8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12970690 and 4.\nAnswer: -51882760","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 391616 or 1566461\/4?\nAnswer: 391616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -3\/4, 12486, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + (-50)\/(-6). Let q be -2 - -1 - (-1 - l). Let w be (-4)\/(-10) - 474\/(-15). What is the highest common factor of q and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2*i + 5*i - 2*i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 - 2*z + 1. Suppose 3*i - 28 = -25, 332 = 3*w + 2*i. Suppose -5*n + w = 105. What is v(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) - -2*sqrt(35)\/sqrt(5)) - ((2*sqrt(9))\/sqrt(3) - sqrt(21)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: -3 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8 + 12, 3*s + 2*y - 2233 = 0. Let r = s + -12. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -83*r**2 - 2489*r + 18. Give q(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2816 and 248832?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2547*r + 3535*r + 3077*r + 1519*r + 2733*r.\nAnswer: 13411*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2706, -2760, -2810, -2856, -2898, -2936?\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2543, 2577, 2661, 2819, 3075, 3453?\nAnswer: 3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51235985, -102471975, -153707967, -204943961, -256179957?\n\"Answer: -x**2 - 51235987*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:41 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 4 = -2*j + o, 2*o = -3*j + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - r + 1. What is the units digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146789 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13129*q + 1588619. Determine b(-121).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*k + 116. Calculate the remainder when 53040\/500 + (-8)\/100 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77\/(-4) - (-6)\/(-8). Let q(m) = 3*m**2 - 2*m - 6. Let c be q(3). Let v be ((-18)\/c)\/(6\/h). Solve v*t + t = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067*k + 38 - 38 + 389*k + 3458*k.\nAnswer: 4914*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = s + 11. Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 568 and 5?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 84*j + 50. Let n be q(27). Let k(y) be the first derivative of -y**4\/4 + 16*y**3\/3 - y**2 + y + 4. Let g be k(16). Does g = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/5)\/3)\/((-1)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -89*j - 778. Calculate l(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 3449?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sssqsssssqs.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23976 divided by 6?\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -10*s - 5*f + 15, -73*s + 68*s = -4*f + 45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 130*z**2. Let b(n) be the first derivative of -n**3\/3 + 63. Give w(b(h)).\nAnswer: 130*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:46 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 - 63*g**2 + 166*g - 14. Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 17 = 19. Calculate the lowest common multiple of 1 + c + 32\/16 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.2116?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 3, 4, -1\/3, -3, 161 in decreasing order.\nAnswer: 161, 4, 3, -1\/3, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-1\/3))\/a))**(19\/4)\/(((((a\/a**(-4\/3))\/a*a)\/a*a)\/a)\/(((a**7*a)\/a)\/a))*(a**6*a*a\/(a**3*a))\/(a*a**1)**(-5) assuming a is positive.\nAnswer: a**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112983447.\nAnswer: 3, 2621, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + -4 - (11*-1 + (-32 - 61588))?\nAnswer: 3, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 0, f + 5 + 0 = d. Let l(r) = r**2 - 17. Give l(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhetkghkjg. What is prob of sequence tk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406746 >= 3406747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 1. Let s(z) = -z + 7. Let p(q) = 3*h(q) - s(q). Let a be (-14)\/21 - (-20)\/(-6). Let x(i) = -3*i - 8 - 3 + 6. Give a*x(b) + 5*p(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47000, -46974, -46948, -46922, -46896?\nAnswer: -46870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-37 - -76 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 15. Let h = -25\/2 + f. Factor -h*i + 0 - 1\/2*i**2.\nAnswer: -i*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, h: 3, p: 2, u: 2}. Give prob of picking 1 h and 1 s.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48729752 rounded to 3 decimal places?\nAnswer: 0.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n**2 + 111*n + 489. Let j(u) = -3*u**2 - 22*u - 98. Let r = 77 - 110. Let o(d) = r*j(d) - 6*h(d). What is x in o(x) = 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3061 + 9556 + 9538 - 4657 + 4234)*(-3*z**3 + 0*z**3 + 4*z**3).\nAnswer: 15610*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -39*q**2. Let t = 1274 - 1255. Let a(d) be the third derivative of 0 + 0*d**3 + t*d**2 - 1\/24*d**4 + 0*d. What is a(f(b))?\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001100 + 111010110010101?\nAnswer: 111100001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -135, -185, -217, -225, -203, -145, -45?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g. Let s be l(1). Let f(x) = -x + 24. Let u be f(s). Let j = 11 + 25. What is the greatest common factor of j and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 20611*p\/2 - 103005.\nAnswer: -(p + 10)*(p + 20601)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*j - i + 197 = 78*j, -3*i + 9 = -6*i for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/270*-15*2*(-1)\/3*-41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 21*t - 63 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*f + 1330 - 8650. What is the remainder when f is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/475, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 24 - 19 - 10)*(d**2 + 5*d**2 - 3*d**2) in the form s*d**2 + x*d + c and give s.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 61 = -3*g - 85, 3*g = 3*c - 24 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/21 - 22\/(-6). Let q(b) = -1 + 2*b + 0*b**3 - k + 4 + 6*b**3. Give q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -421407 not equal to -421407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245 - -245. Let k be (0 - 1 - -7) + -1. Is k - (0 - t)*1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 13*n**2 - 23*n - 37. Calculate the remainder when m(-13) is divided by 55.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/58 and 61\/274253.\nAnswer: 548506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 + 55*g + 10. Let v be u(11). Let i be (-37 - -34)*v\/(-1). Solve -5*n - 4*z = -i, -1 = -2*n + z - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1656530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:34 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41 - 142*u**2 + 22*u**2 + 41 - 130*u**6 wrt u?\nAnswer: -15600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*l + 111*l = l + 3822 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:28 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872679722.\nAnswer: 2, 436339861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003642363116 to 6 dps.\nAnswer: -0.000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**3\/6 + m**2\/2 - 4*m. Let b be r(6). Is -6 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-8))\/(342\/(-76)))\/(-4*(-6)\/(-96))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 3\/14*v**3 - 5\/294*v**7 + 5\/42*v**4 + 0 + 1\/7*v**2 - 1\/35*v**5 - 5*v - 2\/35*v**6. What is j in p(j) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127776.69 months in millennia?\nAnswer: 10.6480575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*m + 7*m**2 - 8*m**2 - 66 + 362*m - 719*m in the form j*m + k*m**2 + x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5930794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -7*v. Suppose -q = i - 6*i - 12, -4*i - q - 15 = v. What is the tens digit of ((-24)\/20)\/i*35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 - 2*a + 4*a**3 - 4 - 2*a**3 + 8. Suppose -3*r + 5 + 4 = 0. Let t be d(r). Calculate the highest common factor of t and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 91755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1355 + 2*i - 1355.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 8. Let b be g(6). Suppose 5*k - 23 = -4*n, -3*n = -b*k + 3 + 3. Suppose -3*a + a + 140 = r, 0 = -k*r. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 3*j - 6. Let t(m) = -4*m**2 + 3*m - 5. Let i(l) = -12*l**2 + 9*l - 15. Let o(h) = 6*i(h) - 17*t(h). Determine -4*o(n) + 3*z(n).\nAnswer: n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.8 times 2311?\nAnswer: 124331.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -65?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) -2 (b) -0.3 (c) -3\/2 (d) 1900\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -4, -1\/8, -452\/119, 1 in decreasing order.\nAnswer: 27, 1, -1\/8, -3, -452\/119, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u + 5. What is n(30)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1)**(-2\/11)*(u*u*u**(1\/3))\/u*(u*u**(-2\/13)*u*u)\/u assuming u is positive.\nAnswer: u**(1208\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a629b (base 12) to base 13.\nAnswer: -78398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1564384 and 103\/360220?\nAnswer: 54753440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*n)*(1 + 2 - 2) + (3 - 5 + 4)*(16*n + 8*n - 7*n) - 2*n - 3*n + 4*n as x*n + d and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 184*v**2 - 3199*v + 162. What is r(-200)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 72, 131, 200, 273, 344?\n\"Answer: -x**3 + 14*x**2 + 8*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56996, 56995, 56994?\nAnswer: 56993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 17*v**2 - 16*v + 8. Let w be f(-16). Calculate the greatest common factor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 28 = -4*p, -3*q + 3*p + 1 - 4 = 0. Find the third derivative of 0*s**4 - 5*s**q - 4*s**4 - 8*s**2 wrt s.\nAnswer: -216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 41*p**3 + 135*p**3 + 16364 - 6992*p - 48104 + 1481*p**2 + 207*p**2 + 4*p**4 = 0.\nAnswer: -23, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13114 - -13113.999970609. Round i to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2\/19 + 87062664*m\/19 + 947488432847112\/19 = 0?\nAnswer: -21765666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/20)\/(-1)*10\/4. Suppose 3 = 3*t, 3*s - b*t = -186 + 532. Suppose 8*a - 7*a = s. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r + 4 = -4*s, 3*r = 4*s + 18. Let v(o) = -4*o**3 - 5*o**2 + 5*o - 1. Let u be v(r). Let w = u + 115. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 10572*h**2 - 223696*h + 213120.\nAnswer: 4*(h - 20)*(h - 1)*(h + 2664)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -2\/17 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23535 - 23418. What is the lowest common multiple of n and 903?\nAnswer: 35217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149581762 a multiple of 1531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(-5 - -4) + (-2)\/(-1). Suppose -d*j + 4 = -20*j. What is the second biggest value in 4, j, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 + 3 = 0, 2*y = -n - 1. Let h = -1 + 6. Suppose -2*o = -5*g, 0 = 33*g - 37*g + 5*o - 17. What is the nearest to -0.1 in y, h, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12882468.\nAnswer: 2, 3, 61, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*p**5 + 247*p**2 - 247*p**2)*(-2 - 5 + 1).\nAnswer: 780*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -31. Let m = f - 29. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/167 + -1206\/10855. Let a = h + 901\/455. Find the common denominator of -42 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 2*s - 8*s + (-5*s + 2*s + s)*(-3 + 2 + 3) + 2*s + 3*s - 3*s - 3*s + 6*s - 2*s + 0 + 0 - 2*s - 3*s + 30 - 30 + (-4 + 1 + 4)*(3*s - 6*s + 2*s).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99891 and 726.\nAnswer: 2197602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -38) + 8\/(2 + -4). Let z = -30 + f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (22 + (36 + -50 - -19)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and 47\/290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.2687 - 0.0313. Let s = -40.2 + v. Let m = s + 91. Which is smaller: -2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 4. Let v be m(3). Let c be (-6)\/(-6) + (-2)\/8. What is the nearest to c in v, -2\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 10\/4)*-2. Let u be (-158)\/(-60) + (-5)\/2. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/105*3*(-5)\/(-8). What is the closest to -1 in 133, 1\/3, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18305 is divided by 2362.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117898 is divided by 39260?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 - 2803 = 10*h. Which is greater: h or -241?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 847 and -23.\nAnswer: -19481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339476 is divided by 2571?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(1452)*-4*1 - (((4 + sqrt(1452) - sqrt(1452)) + 5 - sqrt(1452)) + sqrt(1452) + sqrt(1452) - sqrt(1452))))*-1)**2.\nAnswer: 1056*sqrt(3) + 23268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148\/222*((-6951)\/(-2))\/7 is divided by 98?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -123? (a) 0.1071 (b) 2\/7 (c) 3 (d) -5 (e) -0.2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*l**2 - 39*b**2*l - 3*b*l**2 + 4*b + 89*l wrt b?\nAnswer: 6*l**2 - 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(sqrt(275) + 1)*-3 + (1 + sqrt(275) + -2)*-5))**2.\nAnswer: 10710*sqrt(11) + 715716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-6.4\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Let s = -5 + c. Does s = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1018)\/24 - 2\/(-8). Let h = 42 + y. Which is the nearest to 0? (a) -0.5 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 27960776*d**2 + 111843056*d - 111843040.\nAnswer: 4*(d - 6990190)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**2 + 76676*j - 389999?\nAnswer: -6*j + 76676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 308621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 1\/24*b**4 + 0 + 15*b - 1\/12*b**3 + 1\/40*b**5 - 1\/4*b**2. Factor j(u).\nAnswer: (u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:57 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -236, 101, 22, 14 in descending order.\nAnswer: 101, 22, 14, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 289612 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -223.\nAnswer: -5\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -9. Let m = 1.4 - 1.347. Let g = m + -0.033. Which is the third biggest value? (a) 1 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110558 - 65701. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -4 + 4 - 135\/(-7)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 586108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*-2457.\nAnswer: -110565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.9. Let t = -2.07 + -0.03. Let s = t + x. Which is greater: 3\/7 or s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3702452742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 + 7*u - 3. Let v be w(6). Let m = -219 + v. Let o = m + 365. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16702, 16703, 16704, 16705, 16706, 16707?\n\"Answer: h + 16701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052184.\nAnswer: 2, 3, 7, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 90. Let n(t) = 35*t**2 - 1. Calculate n(y).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -129*q - 3480. Let a be l(-27). Sort a, 2, -4, 12, 4 in descending order.\nAnswer: 12, 4, a, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41448.\nAnswer: 2, 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 20*r**2 - 16*r + 51. Calculate k(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**21\/h*h)\/h*h*h**(-1\/2))\/(h\/(h**(3\/14)\/h))**(-3\/22) assuming h is positive.\nAnswer: h**(6389\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 535337507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5558.124l in millilitres?\nAnswer: 5558124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r - 68*r - 59*r - 68*r + 272*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.5 + 29. Let v be (-140)\/42 - (3 + -3 + -2). Suppose -4*j + o = -2 - 1, 2*j - 15 = 5*o. Which is the second smallest value? (a) j (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -21 - 3\/2*k**3 - 2*k - 5\/2*k**2. Let j(a) = -17*a - 9. Give 6*j(g) - 11*u(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/10)\/((-1)\/4). Suppose b*o - 10 = -0*o. Suppose -4*u = -o*u + 37. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128121037 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -321, -322, -323, -324, -325?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2195?\nAnswer: -1\/2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 8) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.4400698 to one dp.\nAnswer: -117.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264*m - 1240*m + 3723*m - 1237*m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64\/(-24)*3\/(-2). Suppose y - z = 3*y - 15, -2*y = -i*z - 20. What is the smallest common multiple of y and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 2 x when four letters picked without replacement from {x: 7, y: 8, k: 5}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30492 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o + 2*r = 0, r = -5. Suppose -2*j = -4*g - 28, -2*j - 3*j + o*g + 110 = 0. Suppose 0 = -6*k + 264 - j. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 45.1. What is the nearest to 2\/9 in 2, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 4*a + 1. Let r(m) = m**2 + m - 1. Let p be (2 + -8)*(-2)\/4. Let n(o) = p*r(o) + i(o). Give n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1911, -3778, -5563, -7260, -8863, -10366, -11763?\nAnswer: -13048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 335?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 18718*i**2 + 2*i - 18719*i**2 + 0*i.\nAnswer: -i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29318667*m**3 + 44453500*m**2 wrt m?\nAnswer: 175912002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 0, -5 in descending order.\nAnswer: 1, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + 0.05. Let i = s + -0.1. Sort -2, i, 0 in ascending order.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -1\/18, -4, -5\/2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 792 + 2142 - 288 - 59 + 270 to o*s + h and give h.\nAnswer: 2857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 (base 4) in base 15?\nAnswer: -7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 558\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 762, -0.039, 2, -0.3?\nAnswer: 762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + 3*sqrt(224) - -2*sqrt(56)\/sqrt(4))\/((sqrt(18) - -1*sqrt(288)) + sqrt(18) + sqrt(18)))**2.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-15)\/12) + 1. Factor -30 - 12*c + p*c**2 - 15*c + 2*c.\nAnswer: 5*(c - 6)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z + 4. Let x be i(2). Let o = -20 - x. Let v = 10 + o. Calculate the lowest common multiple of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*c**2 + 0 + 447\/2*c.\nAnswer: c*(c + 447)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162318 - 74072. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 - 3. Let r(q) = -q**2 + q + 1. Let i(v) = a(v) + 4*r(v). Let m be i(-4). What is the tens digit of (-4)\/12*3 + m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -180, -13, -1, 79, -4 in descending order.\nAnswer: 79, 5, 0, -1, -4, -13, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.036 - 22.964. Let y = -21 - p. Sort y, 0, 3 in decreasing order.\nAnswer: 3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**3 + 5*u**2 + 11*u - 173. List the prime factors of i(8).\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131196589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 763138295 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3739 or 29913\/8?\nAnswer: 29913\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35251 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: Suppose -3*n = -3*b + 216, -2*b + 154 = -n - 3*n. What is the second derivative of -b*l**2 - 12 + 7 + 20*l**2 - 2 - 2*l wrt l?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 11255353431?\nAnswer: 11255353425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58\/8 + (-2)\/((-7 - -12) + 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/147 + -155\/588. Suppose -25*p = -32*p + 7. Which is the closest to p? (a) -5\/2 (b) -2\/15 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 395 and 82?\nAnswer: 32390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 60*a - 270. Calculate the highest common factor of 153 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from lflrrkrfrkkfkrlrf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2 - 155*f + 128?\nAnswer: -2*f - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53498425 - 1?\nAnswer: 53498424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 64*g + 871. Calculate h(-21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 58, 80?\n\"Answer: 22*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/4)\/3*(-35280)\/(-14700).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**3 + 2*b + 1. Calculate k(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 24*l - 52. Let k = -101 + 92. Let a be s(k). Solve -w + 0*q - a*q = -10, 0 = w - 3*q + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233408 is divided by 2992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 424422 and 141474.\nAnswer: 424422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/((-3)\/(-24)). Suppose 0 = 2*m - 0*m + 2. Let t be q + 1 + (m - -1). Solve -29 = -t*v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20191 and 0.1.\nAnswer: 2019.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(1\/14)\/d*d)*d*d**(5\/2))\/((d*d**0)\/(d*d**(-7))))\/((d**(2\/5))**(-41)*(d\/(d\/d**9))\/(d\/(d\/(d\/(d\/(d*d**(-1)*d))))*d)) assuming d is positive.\nAnswer: d**(169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 407*z**3 + 270*z**2.\nAnswer: z**2*(z + 135)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, c: 1, d: 3, z: 4, s: 5}. Give prob of sequence zz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**3 - x - 1. Let b be o(-1). Let q(r) = -r**3 - 6*r + 9. Let a(k) = -k**3 + k**2 - 7*k + 10. Let m(g) = b*q(g) - 5*a(g). Determine m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37902.23 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**6\/40 - 27*p**5\/80 + 25*p**4\/16 - 27*p**3\/8 + 15*p**2\/4 - 2*p - 4. Factor y(a).\nAnswer: 3*(a - 5)*(a - 2)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a - 4 + 14*a + 0 + 152*a**2 - 8*a - 158*a**2.\nAnswer: -6*a**2 + 37*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 307. Let m(z) = -13*z - 907. Give 7*g(t) + 2*m(t).\nAnswer: 2*t + 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:59 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 15) to base 8\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15369.033543 - -15369. Round z to 4 decimal places.\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2432)\/(-133) + -18 - (221668\/14)\/(-2). Calculate the highest common divisor of 87 and h.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nprssnnrrsnnr. Give prob of picking 4 n.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8526*t + 2*t**2 + 8526*t. Let w(j) = 26*j. Let c(u) be the first derivative of 9*u**2\/2 - 10. Let q(x) = 14*c(x) - 5*w(x). Calculate h(q(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 297 in decreasing order.\nAnswer: 297, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**7\/1400 + s**6\/200 + 77*s**3\/3 - 84. Let v(w) be the third derivative of o(w). Find u such that v(u) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5172?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*o + 3, -12*o = -5*a - 16*o + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/306 and 45\/316.\nAnswer: 48348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)\/(sqrt(704) - sqrt(704)*-1 - sqrt(11)))\/(sqrt(308)\/(-2*sqrt(11))))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.9. Let v = -268 - -1336\/5. Let y = 1.048 + -0.048. Which is the second smallest value? (a) y (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(108\/1336))\/((-2)\/(-3)). Let o = 2 - 58. Let f = o + t. Which is the closest to 1\/2? (a) 2\/7 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100 (base 3) to base 11.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/8 and -63\/283375?\nAnswer: 2267000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, y: 6}. What is prob of sequence yyy?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/251932 at least as big as 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38800200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/8)\/((-1)\/(-4)*1). Let f(n) = -26*n**3 + 11 + 0*n - w + 3*n. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-10)\/24) + 0. Suppose 2*q = 2*g - 4, 2*g - c = -2*q - 0*g. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619088 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 186*q + 4082. Calculate w(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**6\/30 + 3*u**4\/8 + 9*u**2\/2 - 4*u. Let r(w) be the first derivative of k(w). Find the second derivative of r(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 10. Let i be a(-8). Let k = -8 - i. Let x(z) = z**3 + z**2 - z + 2. Let o be x(k). Solve o = 5*j - 2*f + 6, -j + 3*f - 10 = 7*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j - 9. Let a be l(7). Suppose -a*x + 3*u + 2*u + 180 = 0, 0 = 5*x + 3*u - 212. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639891, -639887, -639883, -639879, -639875, -639871?\nAnswer: -639867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -17 + -6 + 21 - (-2 - -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*u + 47*u - 274 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 1850*m**3 - 7*m**2.\nAnswer: 1850*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88585787 to the nearest integer?\nAnswer: 9412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1825 times -0.2\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-55)\/165)\/(3\/6). Which is the nearest to p? (a) -0.161 (b) 1 (c) 1\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 2308591*j**2 - 98 + 2308722*j**2.\nAnswer: 131*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5bc212 + 8a?\nAnswer: 5bc29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/17)\/v)\/((v\/(v*v**5))\/v))\/((v\/v**(-6\/5))\/v*(v**14*v)\/v) assuming v is positive.\nAnswer: v**(-847\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26509486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1082.8 + 1140.713. Let t = 0.087 + s. Let i = 58.00125 - t. Round i to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-32))\/((-1390)\/3336)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.84 - 1.5. Let i = -163.34 + z. Let h = i - -146.7. Round h to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -16) + (-11 - -23) + -46?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + q - 30, -x = x - 2*q - 40. Let a be (-1)\/(((-2)\/5)\/2) + 0. Suppose -a*f - 2*f = -0*f. Solve 0 = -n - 5*w + x, n + 0*w + w - 9 = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*6\/(-16)*-4. Let z be h\/(3 + (-114)\/39). Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.153 + 0.147. What is the second smallest value in m, -0.5, -1.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 33, 79, 151, 255, 397, 583, 819?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/109 and -99\/8.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + -2*sqrt(539) + sqrt(539) + -5)**2.\nAnswer: 56*sqrt(11) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 (base 8) in base 11?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 1. Let b = -282 - -288. Give l(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 97*g**3 - 12*g**2 + 15*g - 1. Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = -g. Suppose -g*h + 3*h = -72. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5265743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*8\/900 + 12\/45.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5819 is divided by 569?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/138 and 37\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 108*o - 206. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/(2\/(-24)). Let x(a) = 377*a + 802. Let t be x(-2). What is the highest common factor of o and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 7*r - 4. Determine g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**4 + 197*o**2 + 980 wrt o?\nAnswer: 4*o**3 + 394*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-seven halves of a meter?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 1. Let s(q) = 7*q - 2. Let n(k) = 6*s(k) + 11*t(k). Give n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, 0, 17, 42?\n\"Answer: 4*f**2 - 3*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19075945, -19075943, -19075941, -19075939, -19075937, -19075935?\nAnswer: -19075933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.648399 litres to millilitres.\nAnswer: 2648.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1182, 2360, 3550, 4758, 5990?\n\"Answer: r**3 + 1171*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/60 + 4*m**5\/15 - m**4\/24 + 4*m**3\/3 + 30*m**2. Let d be j(8). Solve v + v + 4 = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 3. Let d be f(0). Suppose -4*b = d*q + 179 + 29, 156 = -3*b - 4*q. Let l = 62 + b. What is the remainder when 97 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -23*f + 30. Determine v(5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.7 + -2.3. Let x = r + 11.22. Let j = x + -0.2124. What is j rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247 divided by 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18229*h - 9103*h - 9122*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2)\/x)\/x)\/(x**(1\/4)*x*x*x*x))\/(x**(-17)*x**(-5\/6)) assuming x is positive.\nAnswer: x**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8844*l - 288*l**2 + 8844*l)*(-3*l**2 + 4*l**2 - 5*l**2)*(0 - 3 + 0) as b*l + s*l**4 + f*l**2 + k*l**3 + o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -86, -129, -172, -215, -258?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/2 + 1364101*m**3 - 930380312676*m**2 - 7443120255365*m - 13025477157175\/2 = 0.\nAnswer: -7, -1, 1364105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 803, 879, 1085, 1487, 2151, 3143, 4529, 6375?\n\"Answer: 11*t**3 - t**2 + 2*t + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*w**2 + 2*w**3 + 3*w**3 - 4*w**3 - 1442*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152968001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**2 + 7*g**3 - 10*g**2)*(-2*g**2 - 6*g**2 + g**2) + 7 - g**5 - 9 + 3.\nAnswer: -50*g**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83426891 is divided by 993?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/5*y + 16\/5*y**2 + 2\/5*y**3 + 0 = 0. What is y?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878124 is divided by 455.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(2)) + sqrt(2) + sqrt(2)*-1*-4)**2*-2 - 2*(2 + -1*sqrt(2) + sqrt(2) + sqrt(20)\/(sqrt(10) + (sqrt(40) - sqrt(10))))**2.\nAnswer: -85 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.106 - 0.1106. Round x to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**(-1)))\/g*g\/(g**0*g)*g)\/(g**6*g**(1\/4))*(g**3*g)\/g**(1\/6)*g**3\/g**(2\/3) assuming g is positive.\nAnswer: g**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vvrvrrvrvvvrvrffrr.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - 34*g**2 - 93*g + 202. Does 93 divide l(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88492337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15*b + 131. Determine n(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/70 and -111\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*l*m + 2*h**2*m - 4*h*l + 5*h*m - 10*h + 18700*l*m + 10*m wrt l.\nAnswer: h**2*m - 4*h + 18700*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - w**2 + 565*w + 1127. What is k(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 680*a - 354*a - 363*a. Let l(f) = -36*f - 2. Let p(n) = -4*d(n) + 5*l(n). What is the derivative of p(m) wrt m?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 224*s - 219*s - 45 = -0*v, 2*v + 9*s + 73 = 0 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15543 is divided by 133.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351, 347, 333, 303, 251, 171, 57, -97?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 1*(-1)\/(-4)*436.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -1\/2*s**2 + 0*s - 1. Let v(p) be the second derivative of p**4\/4 - 2*p - 21. What is v(c(w))?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 15*n**3 - 12*n**3.\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.22 minus 1?\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191 is divided by 1090?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5 - 11*m**4 + 62*m**3 + 540*m**2 - 1800*m = 0.\nAnswer: -10, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 98 (c) -2\/15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -1\/4*d**2 - 5\/48*d**4 + 0 + 16*d - 11\/24*d**3. Factor u(b).\nAnswer: -(b + 2)*(5*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhzzzzzzzzzzzzbzz. What is prob of picking 1 h and 2 z?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*p = 26, 4*a + 6*p - 32 = 11*p. Suppose f - 792 = -4*w, 2*f + 599 = a*w + 4*f. List the prime factors of w.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*p + 54*p + 0*p + 97*p to the form d + j*p and give j.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = -5*z + z, 3 = -2*z - 3*o. Suppose 0 = 5*k - z*k - 15. Let g(t) = -3*t**3 - 3*t. Let r(l) = -3*l**3 - 2*l. Determine k*r(v) - 2*g(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2263 divide 178607275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*n - 1043 - 596 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 16. Let y be v(7). Let s be -6 - y\/(-5) - (1 - -36). Which is greater: s or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2004855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 398 + -393. Let m(v) be the third derivative of 7\/24*v**4 + 0*v + 0 + 1\/60*v**q - 6*v**2 + v**3. Give m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -6 + -1 - (0 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 = -3*y + 304. Let n be y\/(-6) + (-2)\/4. What are the prime factors of (n - -14)*2\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*-2 - sqrt(13)) + 0 - sqrt(13) - -5*(sqrt(13) + sqrt(13)*2))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o**3 - 10*o**3 - 4*o**4 - o**4 + 0*o**4 - o**4 + (-o**2 + o**2 - 2*o**2)*(2*o**2 - o + o) + o**4 - o**2 + o**2)*(-5 + 0 + 3)*(0 + 1 + 2).\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32645\/3 + -10882. Let n be (1\/2)\/(1\/(-8)). Which is the closest to t? (a) n (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*c = 2203 + 1469 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9945 and 258570.\nAnswer: 258570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46948, 93895, 140838, 187777, 234712, 281643, 328570?\n\"Answer: -2*q**2 + 46953*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5eb61 - -70?\nAnswer: 5ebd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 100, 134, 148, 136, 92, 10, -116?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50266577.24900101 + 50266577. Let c = n - -0.249. What is c rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 16) to base 2\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:47 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q*q)**(2\/45) assuming q is positive.\nAnswer: q**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 59, 8, -52678 in descending order.\nAnswer: 59, 8, 0.4, -52678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - a - 1. Let q be o(0). What is the third biggest value in 0, q, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 + 3*q**2)*(-3 - 2*q + 3) + 28*q - 14*q**3 - 7*q**3 + 22*q**3.\nAnswer: -5*q**3 + 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 10*k - 18. What is the remainder when r(-14) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*n**2 + 72390*n + 5112600 wrt n.\nAnswer: -22*n + 72390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by ((-13)\/((-91)\/35) - 6)*-7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - v + v + (2 - 2 - 4)*(-185*v**3 + 73*v**3 - 170*v**3) + 2 - 2*v**3 - 2 in the form m + h*v**3 + l*v + k*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160988 and 7712?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -59\/2 (b) 3 (c) 0 (d) -544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5040) + (sqrt(5040) - sqrt(5040)*-4)))\/(sqrt(80) + sqrt(80)*-1 + sqrt(80) - (1*sqrt(45))\/sqrt(9)).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 330, 661, 992, 1323?\n\"Answer: 331*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*j + 23 = 11*u, 27 = 5*u + j. Solve u*v - 1 + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r**3 + 3*r**3 - 4*r**3)*(-70 - 42 + 19)*(-5 - 1 + 2) to q*r**3 + v*r**2 + j + w*r and give q.\nAnswer: -2604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.225 - -3.725. Let t = 0.12 + 4.88. Let n = -44 - -47. What is the closest to n in b, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1 + 5 + (2 + sqrt(847) - sqrt(7) - sqrt(7)) + 5)*5 + 1)**2)*4.\nAnswer: 23760*sqrt(7) + 74144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3*w**4\/16 - 7*w**3\/4 + 45*w**2\/8 - 27*w\/4 + 4. Solve d(r) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b)**(-2\/35)\/((b*((b**1\/b)\/b)\/b*b)\/b**(-19)) assuming b is positive.\nAnswer: b**(-7341\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15452550 - -211?\nAnswer: -15452335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Suppose j*f = f - 15. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-1\/2))**(-29))**(6\/11))**(-8\/13))**10 assuming f is positive.\nAnswer: f**(20880\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.1, -292, 2, -0.4 in decreasing order.\nAnswer: 20, 2, 0.1, -0.4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -444 - -13?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**8\/168 - 11*t**5\/120 + 7*t**3\/3 - 3. Let r(b) be the third derivative of m(b). Find the second derivative of r(s) wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16384*r**3 - 1587712*r**2 + 148956*r - 3492.\nAnswer: -4*(r + 97)*(64*r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*c + 8693, c - 6952 = -4*n + 5*c. Is n\/3 + (-2)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(9\/20142). Suppose -3*x + 2048 = t. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwl when three letters picked without replacement from {l: 3, o: 5, w: 3, q: 9}?\nAnswer: 9\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, q: 1, f: 3, i: 2, h: 1, d: 1}. What is prob of sequence nhdq?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 13*h - 2. Let c be m(-10). Let i be (-39)\/26*c\/6. Suppose -2*a + a + 8 = 0. What is the highest common factor of i and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 25*a = 31584. What are the prime factors of a?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 176 (b) -0.03 (c) 3\/5 (d) 0.25 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 11052?\nAnswer: 165780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -61, 39, 153, 269, 375?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**3*y**2 - 1899775*k**3*y - 79347*k**2*y - 2*k*y**2 - y**2 - y wrt k?\nAnswer: 24*y**2 - 11398650*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 8*n + 3. Calculate o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*v + 6 = 94*v. Suppose b - 5 = 0, 2*b = -y - v*y + 22. Suppose -y*p = -436 + 28. What is the greatest common factor of p and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1628000115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312608162.\nAnswer: 2, 156304081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose 0*o - 4*o + 64 = z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3714 and 1047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39372 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 + 24 = 0. Let z be ((-15)\/2)\/(l\/4). Let h be -2 + 4\/(-2) + 7. What is the highest common factor of z and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (2 - (3 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*(-130)\/(-585)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2589 to 3 dps.\nAnswer: 0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 38\/8 - (2 - (4 - 4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81\/2 of a century?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-125)\/175 + 162\/21. Solve -9*z = j*z - 19*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235*b**3 - 2*b**2 + 1071*b**3 + 2*b**2.\nAnswer: -164*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128156960 divided by -1.\nAnswer: 128156960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = 31*c + 50. Let f be (c + -1)*-9*7\/84. Let p(s) = -7*s**2 + 3*s - 3. Let j(a) = 7*a**2 - 4*a + 4. Calculate f*j(u) - 4*p(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346112 or -1\/4?\nAnswer: -346112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0 - 1 + 5*v - 3. Does 16 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195964.7 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 5)*(3*u + 0*u - 2*u)*(6*u - 9*u - 6*u).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by -146072?\nAnswer: -111\/73036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w - a + 13, 8 = -2*w + 4*a. Suppose -w*t + 57 = 5. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29705797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h + 64. Suppose -4*s = -s - 90. Let m = s + h. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -111*r**2 + 107*r - 1. Let f be g(1). Suppose -2*a = 2*a. Find the common denominator of (a - 3\/9)*f + -4 and 39\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*j + 2 = 0, -2*j = 6*g - g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from llipp?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w**2 - w. Let s(c) = 1911*c. What is s(x(j))?\nAnswer: 30576*j**2 - 1911*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5)\/z*z**4)\/(z\/z**(-1)*z)**(2\/29))\/((z**0*z)**(-2\/103))**(17\/2) assuming z is positive.\nAnswer: z**(53141\/14935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (211\/36 - 6)\/(8\/24*4\/(-3))\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344941106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 4*a + 3. Give p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h + 2. Let s be v(-16). Let l = s - 143. Let o(d) = -d**3 - d**2 + 2. Let x be o(-2). Solve 6*g = l*g + x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6250*w + 3766079 - 576179 = -28050*w for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 33. Suppose g = 4*g + 4*k - 22, -4 = -4*k. Suppose 0 = 3*o + 15, -3*u + 40 = -g*u - 5*o. Let s be v(u). Solve h = -h - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 25. Let o(v) = 7*v + 74. Let w(x) = 17*m(x) - 6*o(x). Let c = 17 - -8. What is the remainder when c is divided by w(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2526900 to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 7*w + 0*w)*(0*w - w + 3*w) + 1 - 14185*w + 12*w**2 + 14190*w - 8*w**2.\nAnswer: 14*w**2 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 4 = 5*u, 3*f + 382 = -2*u. Let i = 130 + f. Let t(z) = z**3 - z**2 - z + 1. Calculate the smallest common multiple of i and t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-11 - -46) + -2 - (114 - -12)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 217. Let c be z(-24). Let w = 6 - 4. Suppose w*m - 11 = 5*a, -2*a - 29 = -4*m + c. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6303, 6296, 6293, 6294?\nAnswer: 6299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from sbhusksksksssbbsb?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196448 by -6139.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqiuutpmt. Give prob of picking 1 q, 1 i, and 1 p.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 8. Suppose x = 5*c + 8, x - 4*c = -l*x + 13. Suppose -p + 4 = x. Solve k - p = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51300*j**4 + 70485*j**2.\nAnswer: -1231200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let j(l) = 31*l**2 - 71*l - 1. Give j(q(f)).\nAnswer: 124*f**2 - 142*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -33.9 - 673.593\nAnswer: -707.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 + 5*v - 6. Let w = 73 + -78. Give g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292 divided by 6\nAnswer: -146\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**4 + 24*m**2 - 7*m**3 + 20 + 45*m - 9*m**3 + 3*m.\nAnswer: -4*(m + 1)**3*(3*m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (662\/(-8))\/(7\/(-56)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*123\/1230820*8\/(-9).\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27209\/12 + -6823\/3. What is the common denominator of s and (-2)\/3*67\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.1756.\nAnswer: -0.1756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i\/(i*i\/(i\/i**(-2\/21)))*(i**2)**45)**(2\/9))**(2\/61) assuming i is positive.\nAnswer: i**(7148\/11529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -296.\nAnswer: 5\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (6 - (5 + -1))) + 14 + (24 - 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 15*s + 62. Let n be g(10). Solve 6*r - 6 = n*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202639859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 0)*1 - (-3 + (1*sqrt(1584))**2 + sqrt(1584))) + -5*(-6*(sqrt(1584) - 1*3*sqrt(1584) - sqrt(1584)))**2.\nAnswer: -2567661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7637 is divided by 476.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3 - 15*o**3 - 8.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**4 + z**3 - 1. Let b(y) = 113*y**4 - 4*y**3 - y - 34. Let v(o) = -b(o) - 4*h(o). Differentiate v(a) with respect to a.\nAnswer: -436*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from lqknlklklllukllnnkln.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 35 + ((-12151)\/1015 - -10*(-10)\/3500)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 239 + 4*1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 133?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**3 - 5*m**2 - 4*m - 3. Let o be (-4440)\/880 + 1\/22. Let p(c) = -21*c**3 - 9*c**2 - 7*c - 5. Give o*w(a) + 3*p(a).\nAnswer: -8*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4090700449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 20 = 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(-1\/3)\/r)\/r*r)\/r*r\/(r**7\/r*r))**(-12)*(r*r\/(r\/((r*r*r**(-1))\/r)))**(26\/5)\/((r**(1\/11)\/r*r*r)\/r**7) assuming r is positive.\nAnswer: r**(5451\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 22523?\nAnswer: -22522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 516*k + 9804. Calculate w(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -47017?\nAnswer: -47038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1404, 0.7, -434, 0.4 in increasing order.\nAnswer: -434, 0.4, 0.7, 1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -q. Let j(n) = 10*n + 1. Calculate the remainder when j(q) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49075 - 7?\nAnswer: 49069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(275) - (1*(2 + sqrt(275)) - sqrt(275))**2) + sqrt(275) + 2 - ((sqrt(275) + 2)*6 + -1)**2).\nAnswer: -10022 - 650*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2847747493 - -864.2844682493. Let i = 864 - u. What is i rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4142544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c)**(9\/5)\/((c*c**(-3\/4))\/c)**(-5\/3) assuming c is positive.\nAnswer: c**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 0*q + 0*q + (q**2 - 6*q**2 + 2*q**2)*(-3 + 6 + 47 + 29 + 10 - 6 + (0 - 3 + 2)*(-3 + 1 + 3)).\nAnswer: -245*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 182\/4 - 65535\/1285\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70159423?\nAnswer: 311, 433, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + 4*k**3 - k**3 + (4*k**2 + 0*k**2 - 3*k**2)*(-4*k + 2*k - 3*k) + (0*k + 0*k - 2*k**3)*(1 + 0 + 0) - 2*k**3 + 0*k**3 + k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1135*a*f*y + 2*a*z**3 + 15*f*y*z**3 - 8*f*y - 2*f*z**2 + 2 wrt a.\nAnswer: -1135*f*y + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -787 + 787. Suppose h = -41*i + 15*i + 286. Calculate the greatest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 93 in descending order.\nAnswer: 93, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 4*n - 62, 0 = -30*l - 2*n - 688 + 554 + 678 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.439 - -2.339. Which is the nearest to -1? (a) -0.2 (b) -1 (c) -0.9 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309196 is divided by 81.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*q + 6, -4*q - 20 = -44*b + 42*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758795 is divided by 4237.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*2)\/(sqrt(125)*-4).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.5 and -0.1?\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3508*b + 1765*b + 52*b**2 + 1762*b to z + f*b + o*b**2 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 10*p - 21. Let d be g(12). Suppose 0 = 2*t + d - 1. What is the third smallest value in -4\/9, 3, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:00 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -42, -64, -86, -108?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -6. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m - 276 = 0. Let h = 8 - 20. What is the remainder when (0 - -3)*m\/h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00334326 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129520 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (sqrt(275) - (-1*(0 + sqrt(275)))**2).\nAnswer: -277 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -28 - (8 - -1) - 7 - -10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 - 345 = -2*j - 2*v, -3*j - 4*v + 20 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 5. Let k(c) = -6*c - s*c + 3*c - 35*c**3. Let m be k(8). Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*o = -352*o + 42 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1767, -1757, -1745, -1731, -1715, -1697, -1677?\n\"Answer: z**2 + 7*z - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29429 (base 15) in base 8?\nAnswer: 402724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 19975 and -22254.\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 90, 140, 194?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103454 (base 6) in base 10?\nAnswer: -8602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)*c**(-1))\/(c**(-6)*c**(3\/5)))\/(c*c**(-3)*c*c**0)**(-6) assuming c is positive.\nAnswer: c**(-66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p - 1. Let b be x(-2). Let w be 3*3*b\/(-15). Suppose 0 = -3*m + 5*t + 13, 0 = -2*m + m - w*t + 9. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10102.55?\nAnswer: -10102.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111111101000001100 (base 2) to base 16.\nAnswer: -2ffa0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 > 37331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5214 divided by -53\nAnswer: 5214\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40.028 - 40. Let j = -6.272 - l. Let r = 0.7 - j. Which is the smallest value? (a) 0 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3222 = z + 3244, -5*z - 2*w = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + ((1*sqrt(704)*-5)**2 - 1*-2*sqrt(704))*-4)*-3.\nAnswer: -1055925 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-190)\/(-6))\/(11\/33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*2)*3*-4)\/(2*sqrt(392)*5) + 1 + 4.\nAnswer: 6*sqrt(19)\/35 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x + 267009 - 268794 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385178.\nAnswer: 2, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 3*u + 2. Let s be (-55)\/(-33) - (-4)\/(-6). Let z be (-204)\/(-72) + s\/6. Let y be h(z). Solve -3 = y*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3339433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1310936, 2621870, 3932804, 5243738, 6554672?\n\"Answer: 1310934*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268969 divided by 1?\nAnswer: -1268969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 424182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13056*w**2 + 4*w**3 + 3273*w**2 + 3266*w**2 + 3281*w**2 + 3262*w**2.\nAnswer: 4*w**3 + 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 4*o**2 + 6*o**2 - o**2 + 2*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1609, 1555, 1457, 1309, 1105?\n\"Answer: -n**3 - 16*n**2 + n + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 35 = 4*j, 0*j + s - 13 = -2*j. Suppose 10549 + 9136 = j*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595561 and 6625.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 25. Suppose -23*y + 28*y - 10 = 0. Let c be (y\/6)\/((-2)\/g). Is 5 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttk when three letters picked without replacement from {t: 3, k: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 16 - 22*c**2 to q*c**2 + a + g*c and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 16. Let m(l) = -16*l**2 + 14*l**2 - 1 - 3*l - l**3 + l. Give m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c - 6*c + 3*c + (-4*c + 4*c + c)*(3 - 4 - 1) - 1 + 1 - 3*c + (4*c + c - 3*c)*(0 + 0 - 1) - 51*c - 43*c + 93*c + 25 as i*c + w and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2675*z - 32 = -2677*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 5*r. Let o be s(-5). Let t be (-8 - -7) + o\/23. Is t greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -438311*j**3*w - 4*j*w**3 - 7*w**3 - 1245193 wrt j.\nAnswer: -1314933*j**2*w - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*6 - (-157990)\/13209. Let d(m) = -m + 3. Let q be d(4). Is t > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(363))**2 - sqrt(363)) + -1 + (0 + sqrt(363))**2)*-2 + (3 + (sqrt(363) + 0 + sqrt(363))*-1 + sqrt(363) + -4*(0 + sqrt(363)))**2.\nAnswer: -264*sqrt(3) + 6182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -90 + 3 - (-1472 + 1471).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*r**2 - 97*r**2 + 3*r + 140*r**2 - 3*r.\nAnswer: 205*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450984 divided by -225492.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 3*v**2 + 3*v + 3. Let n be s(4). What is the third smallest value in 0.5, n, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11*y = -59, -x + 113*y = 112*y + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**7\/420 + u**6\/240 + u**5\/40 - u**4\/48 - u**3\/6 + 2*u**2 - 45*u. Factor m(h).\nAnswer: -(h - 2)*(h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1838843mg in micrograms?\nAnswer: 183.8843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b - 2. Suppose 5 = a + b*a + p, -4 = 4*a + 4*p. Let u be 5 + a\/(-5 - -2). Calculate the highest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*k + 72*k = -62*k + 6. Let x(f) be the second derivative of -f**5\/5 - f**4\/12 + f**3\/3 - f**2\/2 + 2*f. Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 + 2*o - 5. Let a be u(4). What is the second derivative of -3*v**a - 2*v**3 - v**3 - 3*v wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 100\/(-80)*10\/25. Let -1\/4 + 0*z**2 + 1\/2*z + 1\/4*z**4 - h*z**3 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1deabb9?\nAnswer: 1deabb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/63 - 12\/(-126). Suppose -t = b - 90, -4*t = 2*b - c*b - 366. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1841\/3 + -626. What is the third biggest value in 0.1, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 + 5*f - 3. Let o be q(-4). Suppose -5*c - o = 5*r - 105, -2*r = 5*c - 26. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from ijnnomo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*d - 22 + 22 = 0. Let 0 - 2\/5*x**4 + 0*x**3 + d*x - 2\/5*x**5 + 0*x**2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t - 176. Give s(-43).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:13 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16585197.\nAnswer: 3, 41, 134839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 178*f**2 + 186*f - 886. What is w(88)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/10*(-10)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 6*w**2 - 3*w + 5. Let t(a) = a**3 - a**2 - a + 1. Let o(j) = j + 8. Let b be o(-9). What is b*m(k) + 5*t(k)?\nAnswer: -k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.3 and 881?\nAnswer: 858.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2 - -32)*((-429)\/55 - -9) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c**2. Let p(b) be the second derivative of -b**3\/2 - 21*b**2\/2 - 17*b + 3. What is m(p(f))?\nAnswer: -135*f**2 - 1890*f - 6615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 636244?\nAnswer: 636245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49065669 - 1022.\nAnswer: -49066691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + 9*z - 10. Suppose 17*g - 90 = 29. What are the prime factors of s(g)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.5 + -37. Let w = 4.2 - s. Let k be ((-2)\/6)\/(1\/4). Which is the second smallest value? (a) k (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*a**3*c**2*v**2 + 2*a**3*c**2*v - 2*a**3*c*v + 10*a**2*c**2*v - a**2*c**2 - 144*c**2*v**2 + 11*c**2 wrt v?\nAnswer: -68*a**3*c**2 - 288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 14. Let i be k(6). Let m = i + 26. Let u = -9 + m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.02303586.\nAnswer: -0.1151793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -100*m + 1500. Determine h(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + 150\/(-35). Let t be 3\/(-3*v\/92). Find the third derivative of 23 - t - 5*d**6 + 6*d**2 wrt d.\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6455195*h**3 + 3*h**2 - 15689698*h wrt h.\nAnswer: -38731170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in months?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 152*q + 154*q + 16, -24 = -3*b - 2*q for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-80)*112\/(-7))\/(-13)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8098 = -5*j - 3*m, 0 = 2*j - 31*m + 29*m - 3252. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7383504203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - -2.94. Let k = 119280 - 119280.48. Is k greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - j - 4. Let u be m(-6). Let k = 264 + -260. Does u = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -2 - 11 - 7) + 1 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 + 283 + 121 + 573 + 335)*(v**5 + 1 - 1).\nAnswer: 1117*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjxgcjkjdccccckk. Give prob of sequence xjg.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -5, 6\/4777, -2\/11, 4\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 + c + 1. Suppose 5 = -17*p - 12. What is n(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from tgaxahthhgzag.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943 a factor of 492088322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -b05212?\nAnswer: b05213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337?\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 = -8. Suppose -h = -2*b - 1. Let r(q) = 4*q + 16. Let z be r(-2). Solve -z*t = -b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6490939 and -32\/91.\nAnswer: 6490939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to -17180386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*-5)\/((-8)\/4). Suppose -q = 3, 4 = u*f - 5*q - 11. Let y = -1 - -1. Is y <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 13837*p**2 + 73 - 103 - 508*p**2)*(0*p - p**2 + 0*p) to y*p + f*p**3 + s*p**4 + t + k*p**2 and give s.\nAnswer: -13329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.15527012 + -2.8752748. Let v = i + 0.72. What is v rounded to 7 dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h**2 - 18*h - 8. Let x(v) = 19*v**2 - 27*v - 12. Let r(q) = -8*s(q) + 5*x(q). What is r(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1472 divide 3264896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 61 = n, -3*f - n + 36 + 35 = 0. What is the lowest common multiple of f and 278?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 19 = -13. Let g(i) = i + 3. Let j be g(-3). Suppose -k - 5*x + 16 = j, 7 = 4*k + 2*x - 3. Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:25 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-20)\/(-125)) + 5\/(-25)*5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10334, -12001, -13668, -15335, -17002, -18669?\nAnswer: -20336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023 * 163.\nAnswer: 3.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -279 + 279 - 6*v**2. Let q(w) = w**2 - w. Let s(g) = g**2 - 2*g. Let j(f) = -6*q(f) + 3*s(f). Determine x(j(n)).\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.99 + -2.1. Let g = -0.22 + -0.08. Let n = g + 0.5. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -11*p - 22*p**2 + 47*p - 24*p**2 - 20*p**2 + 105 + 69*p**2 = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6) - 676\/(-516). Let z = 41\/86 - l. Which is smaller: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1097700 - 2300. What is z rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11403827 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 n(a) = 0*a - 3*a - 3 + 5*a. Let l = -266 + 273. Calculate the remainder when l is divided by n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (7 - -1 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-3))\/(6*5\/180)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16498*b - 16517*b - 323 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97\/3 + 32. Let n = 11 + -29. Let c = 18.5 + n. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1500*m + 8 = 1498*m + 4*h, -2*m + h - 20 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23731\/38 - (-5)\/2. Calculate the common denominator of 11\/21 and (4\/(-3))\/((-66)\/r).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - (-47 + -117) - 66?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295265.\nAnswer: 3, 5, 86351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.41 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/(-14) - 14\/(4\/(-2)). Put -0.6, m, 0.07 in increasing order.\nAnswer: -0.6, 0.07, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = -m. Sort m, -4, -3 in decreasing order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9535 (base 13) to base 4\nAnswer: 11002312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/59? (a) 88 (b) -8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 30*u**2 + 17*u - 74. What is the remainder when g(4) is divided by 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11001 - -3?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**2. Let h(q) = -q**2 - 2*q + 2. Let g be h(-3). What is the units digit of i(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 16) to base 11.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000045 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/4300*-5)\/((364\/16)\/(-13)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 9*f + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 96*t + 1414. Calculate z(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4603841 to the nearest one thousand.\nAnswer: 4604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40361, -161495, -363371, -645977, -1009301?\n\"Answer: 2*k**3 - 40383*k**2 + k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12262025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26 + (0 - 4) - (-2 - -1). Suppose 0 = -4*d + j - p, 31 + 1 = -d - 5*j. Let z be (-36)\/(-21)*d\/(-2). Which is the closest to -0.2? (a) 2 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(14)\/sqrt(2))**2 - sqrt(7))*2 - (-5 + sqrt(63) + 0)**2.\nAnswer: -130 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/42 + -3)*(1 - 0).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let m(l) = -2*l**2 - 4*l**2 + 0*l**2. Give x(m(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -28*m**3\/3 + m - 30. Let t(k) = -3*k. Determine t(y(p)).\nAnswer: 168*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -11. Suppose 0 = -9*b - 519 + 3534. Let u(w) = 7*w + 332 - 8*w - b. What is u(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 4*t**3 - 8*t**3)*(-5*t**2 - 2*t**2 + 5*t**2) - t**2 + t**2 + 4*t**5 + 0*t**5 - 3*t**5 + 5*t**5.\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqqq when four letters picked without replacement from {l: 4, q: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (3 - 5))*21\/28. Are h and 43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 32 - 67 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2 + l - 1. Let v be o(-4). Let g = -7\/54 - 113\/378. Which is the closest to g? (a) 3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/10)\/3)\/(((-390)\/100)\/(-1))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*x**3 - 1807*x**2 - 568*x - 44.\nAnswer: (x - 11)*(13*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-5)\/(-50))\/(3\/50). Let j be ((-33)\/(-15) + -2)\/1. Which is the smallest value? (a) 0.06 (b) j (c) g (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1105726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21223 (base 5) in base 11?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m**2 - 35*m**2 - 5 + 8 - 5 to the form c + y*m + a*m**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1287, -1283, -1279, -1275?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v + 1. Suppose -l - 2 = -3. Determine f(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.2, 1\/2, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 18.394128.\nAnswer: -0.9197064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13964289735 take away -1558?\nAnswer: 13964291293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**8*x*x**(7\/2)*(x**(-3))**(-10) assuming x is positive.\nAnswer: x**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)*t**(-3)*(t\/t**(1\/6)*t)\/t**3*((t\/(t*t*t**(-1\/3)))\/t**2)\/((t*t**(-2\/5))\/(t*(t\/(t\/(t*t**(1\/5)))*t)\/t)) assuming t is positive.\nAnswer: t**(-307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.062, -5\/119?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-253)\/33*(-7839)\/4623\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from keeeeeeeeeeeeekk.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*s**2 - 744\/7 - 136\/7*s = 0. Calculate s.\nAnswer: -62, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(2975\/(-120))*(4\/6)\/((-96)\/(-180)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than -0.22201?\nAnswer: 1.67799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5779.006 - 5772. Let d = a - 7. Round d to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 73. Suppose 0*x + x = -4*j + 340, 3*j - h*x - 236 = 0. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 22. Let z = 10.83 + m. Round z to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 7*u**6\/60 + u**5\/60 + 248*u**3\/3 + 15*u**2 + 17. What is the third derivative of t(s) wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 0, -2, 1 in decreasing order.\nAnswer: 135, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255, -4, -1178, 1.\nAnswer: -1178, -255, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 6335.\nAnswer: 6335.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -147*d + 5156. Determine j(35).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3432 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1120dbd5?\nAnswer: -1120dbd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 436290000 rounded to the nearest one million?\nAnswer: 436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 43999552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72685 is divided by 4652.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 5*a + 327 - 312, -3*u - 2*a = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**4 - 39*d**3 - 52*d**2 + 23*d + 61. Let p(s) = -s**4 - 10*s**3 - 13*s**2 + 6*s + 15. Let o(t) = -6*b(t) + 22*p(t). Solve o(q) = 0 for q.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 4*m**2 + 2*m**2)*(3 - 3 + m) + 5*m**3 + 2*m**3 + 2*m - 3*m**3 + 6*m**3 - 4*m**3 + 2*m**3 to the form z*m + w*m**2 + x*m**3 + r and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6292*z - 135270 = -116394 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002289 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - (-1 + 5 + -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 349 - 349 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -f - 203 + 15, -5*f = -4*j - 716. Let w = -184 - j. Solve n = 3*u - 3 + 9, 4*u + 12 = w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p - 70. Let x be q(7). Factor x*k + 2\/5 - 2\/5*k**2.\nAnswer: -2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16 + 8 + 8 - 42 + 12 + 4*m. Let g(f) = -2 - 5 - 1 + f. Let p be g(5). What is s(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1\/30*f**5 + 30*f**2 + 0 + 0*f**3 + 0*f**4 + 0*f. Let p(y) = -3*y**2 - 2*y**2 + y**2. What is q(p(d))?\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40869 + 40928.702. Let m = -0.298 - x. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 23*y - 111*y + 230 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by -88.\nAnswer: -109\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39184319 a multiple of 1526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/9)\/z**(-14) assuming z is positive.\nAnswer: z**(127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12919 (base 11) to base 16.\nAnswer: -47ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**5 + 1041897*d**4 + 90461925597*d**3 - 90464009397*d**2 - 90461925600*d + 90462967500 = 0.\nAnswer: -173650, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1201 in 0, 6, 3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 - 13*y - 14. Let n be i(8). Solve 5*l = 5*c - n, -3*l + 6 = -0*l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2767 - -49.6717. What is i rounded to one decimal place?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4345*k - 4*q - 4 = 4341*k, 4*k + q + 21 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1 = x - 14, -4*x + 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6130 is divided by 2244.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 23 = 4*w + w, 4*w + 18 = 2*k. Let p be -26*1\/((-8)\/12). Let n be (-2)\/(-3)*54\/p. Which is bigger: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - g)*(-1 + 2 - 2) + 3*g - g - g - 2*g - 2*g + 6*g)*((0*g**3 - 3*g**3 + 5*g**3)*(-4 + 3 + 0) + g**3 + 4*g**3 - 6*g**3 + 2139 - 144*g**3 - 2139).\nAnswer: -588*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/455 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*h + 9 = 0, -4*h - 10 = 2*j + 6. Let p be (2\/(-6))\/((-3)\/63). Suppose 5*x = p*x. Solve x = -j*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 343426 + -174?\nAnswer: 343252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 918650556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - 4*p**4 + 5*p**4)*(-488*p + 11 + 3 - 15 + (-p + 0*p + 2*p)*(0 + 2 - 4)).\nAnswer: 490*p**5 + p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -148*y - 1241 + 577 - 2296 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0 + 8 - u - 7. Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14 in 4\/7, 477.7, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6454 and -3654549.615.\nAnswer: -3661003.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 1 x when three letters picked without replacement from {s: 1, w: 1, x: 1, h: 1, z: 2, o: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j + 1. Let n(u) = u**2. Let i(y) = y**3 + 3*y**2 + 5*y + 5. Let c(p) = -i(p) - 2*n(p). Give 2*c(m) + 10*w(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222012012 (base 3) to base 12.\nAnswer: -48742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:26 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53457 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97612 and 552.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b91 (base 14) to base 7.\nAnswer: -42441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 9*b**4 + 25*b**3 + 27*b**2 + 10*b.\nAnswer: b*(b + 1)**2*(b + 2)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/2 - 653*d**2\/2 + 26816*d + 83400 = 0 for d.\nAnswer: -3, 100, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 4, i: 6}. What is prob of sequence biis?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 679*c**2 + 116544*c - 5372928.\nAnswer: (c - 1166)*(c - 96)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -892 + 897. Which is the closest to -0.1? (a) y (b) -2 (c) -4\/3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -31. Solve 5*h - 2*g = -5, -3*g + 7 + 10 = q*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8637935 minutes?\nAnswer: 51827.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppd when four letters picked without replacement from {p: 2, d: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346490271 divided by -19?\nAnswer: -70867909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 3079*q - 326752. Calculate y(97).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.22 in -3\/22, 1, 1\/7, -1, 2.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d**2 + 9*d + 9. Let s(v) = -3*v**2 + 2*v + 2. Let l(i) = -2*o(i) + 9*s(i). Let f(a) = -4*a. Calculate f(l(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 911, 142, -229?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4339739 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(5\/((-10)\/(-4))). Let l be (-3 - (-2)\/x)*2. Let p(r) = -r**3 - 3*r**2 - 6. Is p(l) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) -0.2 (c) 0 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 8*c**2 + c + 11. Suppose 3*r - w = 2*w - 9, 4*r + 52 = -4*w. Let y be h(r). Solve 4 = y*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1010321013?\nAnswer: -1010321012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/90 - w**3\/9 + 2*w**2\/5 + 94*w. Factor l(z).\nAnswer: -2*(z - 1)*(z + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 2*k. Suppose -4 - k = -5*s. Suppose 19 = -c + s*c. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*d + 15, 0 = -2*m + 5*d - 6*d - 10. Let j(s) = -s**3 - 10*s**2 - 2*s + 4. Let x be j(m). Is 7 a factor of 3\/(-9) - x\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 5344 + 5445 - a + 0*a**3 + a**2 in the form m*a**2 + g*a + c*a**3 + s and give s.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -534\/1249 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18*1\/(-6)*((-20)\/(-9))\/(-4)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2425001 (base 6) to base 14\nAnswer: -34973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, t: 2}. What is prob of sequence htt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -93, -380, -959, -1920, -3353, -5348?\nAnswer: -7995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/5, -3, 5, 0.1.\nAnswer: -3, 0.1, 1\/5, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3664.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 - -196. Find the common denominator of (-965)\/(-140) + h + -6 and -63\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -73, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n**2)*(197 + 1757*n - 200 - n**2 + 90*n + 0*n**2).\nAnswer: -n**4 + 1847*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -2*m**3\/15 - 4*m**2\/5 - 6*m\/5 - 6. What is z in w(z) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.46 - -29.46. What is the nearest to -1 in j, -2\/9, -0.4, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13)*-1 + -3 + (sqrt(13)*-4*2)**2 - (sqrt(260)\/sqrt(5) + 5)*-1.\nAnswer: 2*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1433 + -201?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3689318051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 858 by 1.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887*l**3 - 13290 + 13290.\nAnswer: -1887*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/20)\/15*(-30)\/(-25)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*q + 22, 5 = 4*q + 1. Let j(p) = 3*p**2 + 6*p - 1. What is the remainder when j(i) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 137997, 138417, 138837, 139257?\n\"Answer: 420*o + 137577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46834682?\nAnswer: 2, 23417341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 1089?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 274301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 27*a. Let p(k) = -2*k**2 - 3*k + 12. Let v(s) = 5*s**2 + 8*s - 32. Let w(n) = 8*p(n) + 3*v(n). Give y(w(r)).\nAnswer: 2*r**4 + 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3423784?\nAnswer: 2, 7, 13, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 4*a - 10 + 7, 4*a = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -785 less than or equal to -785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 38. Calculate p(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12253219.\nAnswer: 11, 41, 101, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 42931*o - 42933*o + 4, z = 2*o - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 74 - 26*k**2 - k + 2*k as q*k + p*k**2 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 5, b: 2, i: 1, q: 6}. Give prob of sequence qi.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**13\/(g**(-47)\/g*g)*(g*g**(-13\/2))**(-2\/7) assuming g is positive.\nAnswer: g**(431\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.054525 - -1.054375. Let g = y - -26. What is g rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/130*8\/18?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 711\/6*40\/6. Suppose r + 20 = -3*r, h = 5*s - 2*r. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 - 17005*n**3 + 1905865*n**2 - 1854875*n - 3777750 = 0.\nAnswer: -1, 2, 115, 3285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3129 and 5207699?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -85*t - 11. Let q(w) = -70 + 18*w - w + 23 + 28 + 21. Determine 2*a(x) + 11*q(x).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112042441 + 2?\nAnswer: 112042443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1166*s - 9319. Give r(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136133267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.5 (c) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + m = -36, -2*m - 2*m = -c - 8. Let p be (-3)\/12*c\/6. Let y = 1.1 - 6.1. Sort y, p, 0.5 in descending order.\nAnswer: 0.5, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a37 - 312?\nAnswer: -2249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6044*j - 12087*j + 18*j**2 + 6041*j.\nAnswer: 18*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 + (-102)\/8 + 6\/(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-380)\/5225*30\/(-8)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0 - 5\/2*d**3 - 1\/24*d**4 + 0*d + 2*d**2. Let p be s(-10). Which is the nearest to 4? (a) 0.3 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1803369274741 - 1803368053298.700001. Let z = n + -1221443. Let q = z - -0.7. Round q to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1.1, -30 in increasing order.\nAnswer: -30, -4\/3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 38 = 4*d, -5*d = 4*s - 8*s - 63. Calculate the highest common divisor of d and 4774.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f + 3. Let n be r(3). Let s = n - 17. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 147*a**2 + 307*a - 2098. Give m(145).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 102. Let j be u(15). Calculate the greatest common factor of j and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 13. Let h(b) = -3*b**2 - 5*b - 1. Let g(s) = -4*s**2 - 4*s - 2. Let z(p) = -2*g(p) + 3*h(p). List the prime factors of z(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 + 2. Let g be c(-6). Suppose -4*h = -g*h - 12. Let o(q) = q**2 + 6*q + 6. What is the lowest common multiple of o(-5) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i - 1. Let d be m(5). What is the third smallest value in -1, d, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**3 + 10*k**2 - k + 8. What is the thousands digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1488220*h*s**2 - 283*h*s - 16*h + 15*s wrt s?\nAnswer: -2976440*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (672\/(-294))\/((-4)\/(-14))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5457 by 3.\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 2}. What is prob of sequence lpl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*288\/((-240)\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.78 - 1.7. Let j = -119.08 + f. Let o = j - -99.4. Round o to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257\/4 - 64. Let r = -860.5 + 861. Which is the closest to q? (a) r (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j + 13. Let p be t(-4). Let o = -94\/3 - p. Which is the third biggest value? (a) -1\/5 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f**2)*(f + 4*f - 4*f) - f**3 + 0*f**3 + 0*f**3 + (-f + 3*f - 4*f)*(-453*f**2 + 296*f**2 - 4*f + 364*f**2 + 1).\nAnswer: -413*f**3 + 8*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -55. Solve k = -w - 0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 4*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:24 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -151.87.\nAnswer: -3.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 130 = a + 2*a + 3*n, 0 = a + 811*n - 808*n + 29 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2163 - 2167.996. Let g = l - 0.004. Let c = -77\/4 - -19. Sort c, g, -0.3 in descending order.\nAnswer: c, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 61 = -19. Solve 0 = -h - w, 6*m = 5*m - 3*h - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, d: 3, u: 2, n: 1, s: 6}. What is prob of picking 2 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/65)\/(((-4)\/28)\/((1440\/(-56))\/(-12)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u - 12029 - 10037. Let v be (-2)\/((-12)\/7729) + 0. Let b = v + u. What is the common denominator of b and -25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 20*l - 6. Let s be i(-8). Let o be -2 + 2\/(-3)*1254\/(-76). Suppose 0 = 11*b - o - s. What is the smallest common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 6 = 0. Let t be 160\/w*6\/4. Suppose -x - t = -5*x. 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: Calculate the greatest common factor of 40554 and 7830.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1541*h + 1551*h - 70 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-97)\/(-97))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -2. What are the prime factors of (10\/4 - c)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**3*j)*j)**28)**(-2\/5)*((j**(-5)*j)\/j**3)\/(j**(2\/21)\/(j*j*(j*j**2\/j)\/j)) assuming j is positive.\nAnswer: j**(1922\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.7, -11282, -0.2, 1\/2, -2\/3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/3*(-33)\/6. Suppose 4 + w = 3*o. Suppose 9 = 2*b - o. Solve -3*g = -b*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q**3*r - 14593*q**3 + 70*r**2 wrt r.\nAnswer: -11*q**3 + 140*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = -4*p + 2*c, 2*p + 3*c = -2. Let a(u) = 4*u**3 - 1. Let j(t) = -6 + 20*t**3 + 1 + t**3. Suppose 0 = 5*f - f + 44. Give f*a(i) + p*j(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -798 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -55, 3, -1.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - 0.26. Let x = i - 0.15. Which is the biggest value? (a) 2 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -351 + 700 - 37*a - 349 as s + g*a and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245395429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112010020002 (base 3) to base 5.\nAnswer: 201344404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(16\/(-4)))\/((-13)\/10777). Suppose 2 = -2*z, 0 = 5*r + 3*z - 88 - m. Calculate the highest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -64. Suppose 7 = u - a, -5*u + 0*u + 4*a = -q. Suppose 2*f - 4*f + 4*i = 12, 5*f = -4*i + 26. Sort -5, u, f.\nAnswer: -5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6540 <= 5886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v**2 - 17*v + 430. Give y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1646924*g*i**4 + g*i**2 - 2155264*g wrt i?\nAnswer: -6587696*g*i**3 + 2*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1026570 + -8.1.\nAnswer: 1026561.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 54. What is the third derivative of 3*z**3 + 2*z**2 - 14*z**3 - 10*z**l + 18*z**2 wrt z?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 1650?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174504 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3)*-3 + 5.\nAnswer: -3*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) - 9\/(-3). Suppose 0 = 56*r - 65*r + 72. Let c(y) = y**3 - 7*y**2 - 3*y - 32. Let g be c(r). Calculate the highest common factor of g and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331103122 - -11?\nAnswer: -2331103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/12 - c**3\/6 + 3*c**2 - 4. Give z(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/629 - 110739\/4403. Let x = -25 - m. What is the second biggest value in x, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91515 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-272))\/(100\/2125)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265349747 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0179559 decades in years?\nAnswer: 0.179559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -147?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 + 150*x + 108. What is z(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 - -221.9. Round v to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 + -10 - 2. Let g(u) = u**2 - u - 158. Let t be g(0). Calculate the remainder when 38 is divided by t\/q - (-4)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286539228 divided by -2513502?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/7 + 523*r**4\/7 + 26655*r**3\/7 + 76817*r**2\/7 + 75766*r\/7 + 25080\/7 = 0.\nAnswer: -44, -1, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1141 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 5, v: 1}. Give prob of sequence xv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7528 and (7\/28)\/((13\/(-91))\/((-12)\/21))?\nAnswer: 7528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -201503?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1752 is divided by 867.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1766241*x**2 - 276432*x + 10816.\nAnswer: (1329*x - 104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 83*i**2 + 62*i + 36. What is w(-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4138054532 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*z = 3640. Is 52 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -182 + 93 - 4*b**4 - 6*b**2 - 4*b + 3*b**4 + 5*b**3 + 97.\nAnswer: -(b - 2)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*p**3 - 35*p**3 - 49*p**3 - 41*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 3*z + 7. Let f(d) = -d**2 - d. Let c(x) = -4*f(x) - p(x). Calculate c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o, 0 = 3*n + 111*o - 110*o - 6. Which is the nearest to 2? (a) 1.7 (b) 3 (c) -3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/78 and 49\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34541 is divided by 117?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005547153 to 7 dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 - (4 + 1)) - (40 - 26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -6*x**3 - 1\/10*x**6 + 13\/20*x**5 + 1\/2*x**4 - 1\/70*x**7 + 0*x - 78*x**2 + 0. Let d(w) = 0. What is w?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4741 is divided by 715?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 11:52 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 + 2. Let n be k(2). Let u = n + -16. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let p(n) = 2*n**2 + 29*n + 52. Let c(k) = p(k) - 4*y(k). Is c(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.18 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddeedeedeeebebeb. Give prob of picking 2 e and 2 b.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (13\/130)\/(6 + -3 + 10\/(-3))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21384 - 21383.9999982883. What is m rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 - t + 4. Give m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -302\/5. Let s = -0.11 - -0.19. Let m = -0.38 + s. Put -0.1, m, y in decreasing order.\nAnswer: -0.1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2734864 rounded to two decimal places?\nAnswer: 67.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14072 and -5774.\nAnswer: 81251728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**2*u - 2*o**2 + 94*o + 8418*u - 1 wrt u?\nAnswer: -o**2 + 8418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/12)\/f)\/f**8*f*f\/(f*f**(-12)\/f*f*f)*f**(3\/2)*f assuming f is positive.\nAnswer: f**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**5 + 2460*q**4 - 4602376*q**3 - 4607288*q**2 + 4602372*q + 4604828 = 0.\nAnswer: -1423, -1, 1, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1191 + 1203 + a**3 - 5*a**3 - 7*a**2 - 2395 to the form h + l*a + v*a**3 + o*a**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80257140277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwvvvvvvvw. Give prob of sequence www.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*36\/(-18)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 50970216?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 3756288?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0571111us in nanoseconds?\nAnswer: 57.1111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**3*o)*o*o*o**(2\/29)\/o)**(-4\/9) assuming o is positive.\nAnswer: o**(224\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2552 - 2549. Let s = 38.2 - 35. Let d = -3 + s. Which is the closest to 4? (a) n (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 + o**2 - 1. Let u be y(1). Let k = -4 - u. Suppose 6*j - 20 = 4. Solve -j*d - k = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6771? (a) 5 (b) 1\/28 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -119.62. What is j rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 + 140. List the prime factors of ((-9)\/d)\/(10\/1240).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -2 (b) 0.4 (c) -91035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**(4\/9)\/(n**(2\/11)\/(n\/(n\/(n\/(n\/((n*n**(-3\/2))\/n)))))) assuming n is positive.\nAnswer: n**(-37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47484*x**3 - 3*x - x - 15734*x**3 + 2*x.\nAnswer: -63218*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 13714789640 to the nearest one million.\nAnswer: 13715000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 5864.69.\nAnswer: 17594.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/7 + 51*a**4\/7 - 72*a**3 + 1404*a**2\/7.\nAnswer: -a**2*(a - 39)*(a - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - 7*k + 3 - 4 + 0 + 0. Suppose -4*r - 15 = -7*r. List the prime factors of w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 117*l**2 + 74*l + 2. Suppose -6*q = -4*q - 50. Calculate the smallest common multiple of q and b(-1).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(1368\/32)*3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200011 + -1201002?\nAnswer: -3001013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1377) - (sqrt(1377) - sqrt(1377)*2 - sqrt(1377))*4))**2.\nAnswer: 1003833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 11*w - 1. Let j be z(-5). Suppose -5*i = -5, j*s - 551 = i - 0*i. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2 - 2)*(-8*b - 8*b + 6*b) + ((-2 + 1 + 3)*(4*b + 0*b - 5*b) + (0 + 2 + 0)*(-6*b + 3*b - 2*b))*(-2 + 2*b + 2).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*s - 34, 4*a - 2*s - 44 = 30. Let r(i) = -14*i + a - 19. Let n(t) = -t. Calculate n(r(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:54 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37004931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270880 or 270881?\nAnswer: 270881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19684 + -11165. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35481 divided by -252\nAnswer: -11827\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + -2 + (-5 + (0 + sqrt(1573))*-6 - ((2 + sqrt(1573))*-6 + 5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/5 of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5353.9931 (c) 3\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*t + 14 = -12, -4*h = -4*t - 4. Find the second derivative of h*p**2 + 3*p - p**2 + p**2 wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244228 minus -0.05?\nAnswer: -1244227.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**3 - 2*h**2 + 12*h + 13. Let i be a(-1). Solve 0*m + 3*v = -4*m + 12, 0 = -i*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**21*((((x*x**(-1\/4))\/x*x)\/x*x*x)\/x)\/(x**(-4)\/x)*(x\/((x**(-5)\/x)\/x*x)*x\/(x\/x**(-2\/7)))**(27\/4) assuming x is positive.\nAnswer: x**(284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156777389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 0.4, 5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6513873207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)\/k*k**1\/k*k*k*k)**(-42) assuming k is positive.\nAnswer: k**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 20. Let z = 42 - 25. Calculate the greatest common factor of z and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/13)*b*b**(-2\/17)*b*(b*b**(-2\/9))**(-13\/6) assuming b is positive.\nAnswer: b**(517\/11934)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1563?\nAnswer: 7815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845 (base 11) in base 3?\nAnswer: 10012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172878 divided by -6.\nAnswer: -28813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/143 + 1*2. Let f(c) be the second derivative of 0*c**l + 0 + 0*c**3 + 0*c**4 - 1\/30*c**6 - 1\/10*c**5 + 10*c. Let f(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - l**4 - l**4)*(-1 + 4 - 1) + l**4 - l**4 - l**4 + 2*l - 2*l**4 - 2*l - 3*l**4 + 1 - 1 + (l + 2*l - l)*(2*l**3 - 4*l**3 + 4*l**3).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-235504)\/12710*(-65)\/(-26)?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {m: 1, r: 2, x: 1, u: 2, d: 1, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from {n: 1, y: 1, c: 9}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10688.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -2*n**7\/21 - 26*n**6\/15 - 58*n**5\/5 - 106*n**4\/3 - 170*n**3\/3 - 50*n**2 - 13*n - 1. Solve c(v) = 0 for v.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2592) + (sqrt(2592) - (sqrt(2592) - (sqrt(2592) - sqrt(2592)*-1))) + sqrt(2592))\/(sqrt(6) + sqrt(6)*-2*-5))**2.\nAnswer: 96*sqrt(3)\/11 + 7033\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8219 and -2.207.\nAnswer: -18139.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 365855, -0.2, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 66*4\/6*120\/160?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1542 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/3 - 34*p**4\/3 + 4*p**3\/3 + 68*p**2\/3 - 2*p\/3 - 34\/3 = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 234?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 40 = 3*s. Let x be (-2*1)\/(13\/52). Calculate the remainder when (-2)\/(-6) - (-364)\/78 - x is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7380183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 145934336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17772 and 615417702.\nAnswer: 8886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*69\/(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 1 + 5. Let f be 1 + (g + 2)\/(-1). Suppose 6*h = f*h + 20. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3231, 3198, 3181, 3186, 3219, 3286, 3393, 3546?\nAnswer: 3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -9, 21 in decreasing order.\nAnswer: 21, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/7267 + 14520\/50869. Which is the nearest to -1\/9? (a) g (b) 2 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*q + 2*q - 20, -2*y = 2*q + 6. Let h(p) = p**2 - 2. Let m be h(-4). Suppose -3*l + m = -13. Solve -q*i - l = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/20 - q**4\/6 - q**3\/3 + 5*q**2\/2 - 12*q. Let l be z(3). Let x(b) = 9*b - b**2 + 2 - l*b - 1 + 5*b. Calculate x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/11 + 336*p**3\/11 - 1966*p**2\/11 - 46368*p\/11 = 0 for p.\nAnswer: -9, 0, 16, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/360 and -49\/180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 10 = -k, -2*k + 11 = o. Let z(m) be the first derivative of m**4\/4 - 8*m**3\/3 + 9*m**2\/2 - 10*m - 1. What is the units digit of z(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -144, -370, -800, -1500, -2536, -3974, -5880?\nAnswer: -8320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1806*k**2. Let f(d) = -22415*d. Calculate f(v(n)).\nAnswer: 40481490*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -103\/4, 2, -0.03, -103812\/11 in increasing order.\nAnswer: -103812\/11, -103\/4, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -5*y. Let s(i) = 2*i + 0*i - 5*i**y - 2*i**2 + 4*i**3. What is the units digit of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 2*r**3 + 0*r**2 + (-r**2 - r + r)*(r + 4*r - 6*r) + r**3 - 1 + 1 - 4*r**3 + 4*r**3 - r**3 + 12*r**3 - 15*r**3 + 8*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpdg when four letters picked without replacement from {r: 1, p: 3, d: 2, g: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/72 - 7*o**3\/18 - 26*o**2 - 70*o + 9. Factor w(l).\nAnswer: (l - 26)*(l + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u*w**2 + 11815*u + 1389273*w**2 wrt u?\nAnswer: 3*w**2 + 11815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 33*l**2. Let k(b) = 331*b - 1. Determine k(a(j)).\nAnswer: 10923*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/280 and 9\/54*591\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -206 + -8088311?\nAnswer: -8088517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let o = 0.4 - 0.5. Let h = 0.2 + o. Which is the nearest to 0.1? (a) h (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9270? (a) 0.02 (b) 0.3 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58, -4, 92, 230, 410, 632?\n\"Answer: 21*y**2 - 9*y - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366671 is divided by 393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*f - 57, 0 = -12*f + 2*w + 13 - 26 + 157 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -18 - -1) + -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 536367 = 4*x + 12*x. List the prime factors of x.\nAnswer: 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 15*z + 0*z to x*z + p and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**27*d)**(6\/17) assuming d is positive.\nAnswer: d**(168\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*i + 804 - 808, -4*g + 3*i + 17 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 - 3. What is o(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:38 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22568931, 45137865, 67706799, 90275733?\n\"Answer: 22568934*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/13824*-120 - (-3 + 2 + 22\/16)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let a(m) = 2*m. Let p(z) = -a(z) + y(z). Let b(o) = 2*o. Give b(p(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h + 9. Let f(z) = -6*z - 4. Let j(y) = 7*f(y) + 3*q(y). Let p be j(-1). Let t = -63 + 63. Solve t - p = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 5. Let w be z(-4). Let o be 2*1*w\/(-3). Solve 10 = -3*u - o*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -10334?\nAnswer: -10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgggrr. Give prob of sequence rgrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 65, 152, 263, 392?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -48. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1694, 19, 3, -5.\nAnswer: -5, 3, 19, 1694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*x - 6 = -33, 0 = -2*o - 9*x + 35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/18 - 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpgplgtlpdylttppptgp. Give prob of picking 1 g and 1 t.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 12:27 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**3 + 2*t**2 + 175*t - 22740 wrt t.\nAnswer: 6*t**2 + 4*t + 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 32. Calculate the remainder when 47 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzzzzzzzqqzzqzq. Give prob of picking 4 z.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-5)\/(10\/4). Let k be d\/(-12) + (-38)\/(-552). Let i = 1\/69 + k. Calculate the common denominator of -43 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/7 - 2586*i - 1597581\/7 = 0?\nAnswer: -87, 6121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29622, -29723, -29824, -29925, -30026, -30127?\n\"Answer: -101*z - 29521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (2 + -3)) + 3 + (49 - 45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -56. Let q(z) = -13*z**4 + 2*z**3 + 4*z - 15. Let o(d) = -39*d**4 + 6*d**3 + 14*d - 45. Let f(b) = n*o(b) + 7*q(b). Differentiate f(a) wrt a.\nAnswer: -52*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*r - 96 - 2112, -2*r + 2*u + 1472 = 0. Calculate the highest common factor of r and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1234441 - -3?\nAnswer: 1234444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 5 - (1 + 3 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69\/5 - -13. Let u = 3718 - 3717.6. Let j = -5 - -4. Put 0.5, j, k, u in increasing order.\nAnswer: j, k, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17694?\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 17*w**4\/12 + 29*w**3\/6 + 123*w**2\/2 - 50*w. Does 19 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 5*z = -64*r - 507476, 3*r + 3*z - 761277 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9627.833 grams to tonnes.\nAnswer: 0.009627833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 + k - k**2 - k - 6*k**3 + 2. Let y be b(0). Solve 0 = -y*u + 2 + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-9)\/1*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and -90291918.\nAnswer: -90291916.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/6 + 2*n**3\/21 - 7*n. Factor g(r).\nAnswer: 2*r*(7*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4700 + -70532\/15. Let v = -9\/5 - a. What is the second smallest value in v, 1\/7, 0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953912951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 37*j**3 - 2*j**2 + 4. Let d(l) = 36*l**3 - 2*l**2 + 5. Determine -5*a(o) + 4*d(o).\nAnswer: -41*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 12202727\nAnswer: -5\/12202727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -10. Let n = 17 + b. Solve 0*i = -n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 385 (b) 5 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 20*f - 22*f. Let i be f\/(-319) - (901\/418 - 2). Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 4*r**3\/3 - r**2 + 6*r. Let l be y(1). Let f(i) = -l*i - 6 + 4*i + 5*i + 2*i. Let d(m) = -9*m + 11. What is 4*d(b) + 7*f(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9644197477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 192414759 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23070)\/(-25377))\/(((-90)\/132)\/(-1))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 22*p - 10. Suppose -34*g - 201 = 3. Determine q(g).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 11) to base 10\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72d - -1c284?\nAnswer: 1c9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 51*a**2 - 2*a + 2. Let t(g) = g**2 - g + 1. Let m(r) = b(r) - 2*t(r). Let w(z) = z. Calculate m(w(x)).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y**5 + 7160*y**4 - 17565*y**3 + 14405*y**2 - 4355*y + 435 = 0. What is y?\nAnswer: 1\/4, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 684 + -473. Let z = h - -466. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 7, -4 in increasing order.\nAnswer: -4, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 - 195*v + 200 = 0. Calculate v.\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 52*z + 52*z + (3*z**3 + 0*z**3 - 4*z**3)*(9*z + 24 - 24).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6118?\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47822\/15 + 3188. Which is smaller: 136 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 2079?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*y**2 - 1 + 6*y - 3 - 2 + 2 to the form t*y + v*y**2 + x and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 576.2424 nanometers?\nAnswer: 0.0000005762424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i - 2. Let p be u(4). Let b(d) = -16 + 23 - 3*d - 5. What is b(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 2*y = 0. Suppose 2*x - 24849 = -2*p - 3*p, y = -3*x - 5*p + 37286. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.00187 in 6, 0.04, 0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34496 (base 11) to base 3\nAnswer: -2112100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + (-3 - (-1 - -2)). Let t be 2 - (3 + -2 - 0). Calculate the smallest common multiple of 4 and (-8)\/(-4)*(t + v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0709 - -1.0709. Let a = 703 - 702.617. Let y = -0.037 - a. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*q**3 + 0*q + 0*q - 247*q**3.\nAnswer: 349*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 61*s**4\/12 + 151*s**3\/6 + 142*s**2. List the prime factors of d(5).\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/93 and 181\/60.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let k be x(1). Let i be ((-1)\/(-1))\/(1\/15). Suppose m - 6*m + i = k. Is m greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12465237 by -3.\nAnswer: -4155079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -993 + 998 + -4 + 5 + (2 - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.311534 rounded to two dps?\nAnswer: -25.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 43 - c**2 - 2 - 4*c**2 + 4*c**2. Let p be i(0). Suppose -342 = -3*v - 3*g, v - 70 = 2*g + p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 bigger than 32817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 1805632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*d + 71 - 71 in the form c + h*d and give h.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t + 0*t**5 - 3\/40*t**6 + 47*t**2 + 0 + 0*t**4 + 53\/6*t**3. What is the derivative of c(w) wrt w?\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - 3.3. Let k(u) = -u**2 + 1. Let v(d) = -3*d**2 + 6*d + 1. Let r(y) = 2*k(y) - v(y). Let b be r(6). What is the biggest value in -0.4, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - 2858*i**4 + 1435*i**4 + 1436*i**4 + (1 - 1 - 2*i**2)*(2*i**2 - i**2 - 3*i**2) to d*i**3 + s + w*i**4 + v*i + z*i**2 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50394\/7 - -554810\/77. Suppose 18\/11*f**4 + 16\/11 - 34\/11*f**2 + 68\/11*f**3 - d*f = 0. Calculate f.\nAnswer: -4, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181773 = -25*y + 34*y. Suppose 0 = 4*n - 23*n + y. List the prime factors of n.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 7*o - 6. Let s be t(6). Let g = s - 16. Suppose -10*h + g*h = -9200000. Round h to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2969 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose -n = p - 5*n - 10, -2*n = u*p - 10. Suppose 3*x - p*x = -96. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 - 44 = -5*w - 2*k, -2*w + 5*k = -144. Let f be (58\/(-50) + 1)\/((-1)\/390). Let g = f - w. Sort -5, 2\/27, g in increasing order.\nAnswer: -5, 2\/27, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73006251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0396 and 8055030.04.\nAnswer: 8055030.0796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 - 9*c + 5. Suppose -w = 2*v + 3*v - 22, 4*w - 12 = -v. Let d be t(v). Solve -3*m = -2*m + d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxy when three letters picked without replacement from {y: 2, x: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28037300 rounded to the nearest one hundred thousand?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -13 - (-5 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -350.98817 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -10*j. Let v(u) be the third derivative of 0*u**4 + 1\/30*u**5 + u + 4*u**2 + 0*u**3 + 0. Give b(v(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*r - 73. Suppose -4*g - 3*p = 0, 2*p = -5*g + 5*p - r. Does 10 divide (10\/3)\/(g\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 = -7*r + 590 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -224*n**3\/3 + 300. Let f(h) = 3*h**2. What is c(f(r))?\nAnswer: -2016*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1)*-2 - sqrt(252) - -1*(-2 + sqrt(252)) - -1*-4*sqrt(252)*-1)**2.\nAnswer: -96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.24 (b) 5 (c) -2 (d) 4\/11 (e) 11 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u + 1. Suppose s + 3*s + 0*s = 0. Let c be d(s). Sort -2, c, 5, 1\/12 in descending order.\nAnswer: 5, c, 1\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-24))\/(55\/(-374)*-17)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/3)*i**5\/i assuming i is positive.\nAnswer: i**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 42. Let i(b) = -4*b + 85. Determine -11*c(o) + 6*i(o).\nAnswer: -2*o + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(-4*(-2)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 29 - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103379819 rounded to the nearest ten thousand?\nAnswer: 103380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247599907 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3))**(-3\/17))**36 assuming a is positive.\nAnswer: a**(-180\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*s**4 - 319*f**3 - 17*f*s**4 - 866*s**4 + 71*s**2 - 1 wrt s.\nAnswer: -24*f**3*s - 408*f*s - 20784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/9*15\/20. Let z = 7 - c. Suppose -7*v = -10*v + 12. Solve 3 = -z*i + v*q - 10, 0 = -4*i - 2*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8839*g**3*z - 17462*g**2*z**2 - 36527434*z**2 wrt g.\nAnswer: -26517*g**2*z - 34924*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3213 times -1.8\nAnswer: -2.37834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*h + 12378, -4*h - 3*u + 4020 = -5870. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 1967*v**5\/20 + 7*v**4\/12 + 143*v**2\/2 + 37*v + 1. What is the third derivative of k(s) wrt s?\nAnswer: 11802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259150\/7 + -37149. Suppose 7*c = 9*c - 256. Let y = z + c. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5909802 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svss when four letters picked without replacement from vvsvvvvsvsvvssss.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13645756.85 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*g**3 + 6*g**2 + 36*g**2 - 14*g**2 + 8*g**3 wrt g?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 267, 1542, 3649, 6576, 10311, 14842, 20157?\n\"Answer: -2*n**3 + 428*n**2 + 5*n - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 664 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - -2) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let g(n) = -1922739*n**2. Determine v(g(i)).\nAnswer: -1922739*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 36) + (-384)\/16 + 32 + -4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 0, -2*m + 36 = -0*m - 2*x. Let v = -22 + m. Let h(j) = j**3 + 1. Let i(s) = -2*s**3 - 2*s**2 - 3. Calculate v*h(k) - i(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.5 - -22. What is the biggest value in -3, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(1 - -2). Let j = 321.7 - 336. Let z = j + 14. What is the second smallest value in -1, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33011)\/(-6002))\/(2\/12)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*28.76.\nAnswer: -2.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 2*r - 2. Let n be o(2). Let l(x) = -132*x**3 - x**2 + x + 2. Let g be l(n). Let i = g - 512. Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 9*w**2 + 7*w + 7. Let h be i(-8). Let k be ((-8)\/(-10))\/(6\/h). Solve d + 1 = -3*o + 5*o, -3*o - k*d + 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - m + 1 + (-635*m - 411*m - 169*m + 4 + 335*m)*(0 - 4 + 0) to the form i + g*m and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 2 a when four letters picked without replacement from {f: 4, a: 4, o: 1, k: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 19 = -2*m, x - 4*m + 6 = 31. Let o(i) = -7*i**3 + 13*i**2 + 9*i - 15. Let g(t) = 3*t**3 - 6*t**2 - 4*t + 7. Calculate x*g(q) + 6*o(q).\nAnswer: -3*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 + 12 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-147)\/(-7))\/(-7))\/((-9)\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {g: 10, r: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -y - 9, -2*t = -2*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1943396821 to 5 decimal places.\nAnswer: -0.19434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.3 (c) 1680\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-234)*-18*(-4)\/(8\/(-54))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 24 - 68 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2507)\/1)\/(1*-1). What is w rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342.5 times 80?\nAnswer: 107400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54389 - -113398. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let h(i) be the second derivative of i**4\/12 - 272*i**2 - 3370*i. Give z(h(l)).\nAnswer: 2*l**4 - 2176*l**2 + 591872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*j - 192*j + 104*j + 32 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946403555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) 8 (d) -0.4 (e) 0.14 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -3*u**5\/20 + 6*u**4 - 45*u**3\/2 + 33*u**2 - 1433*u. Find h such that j(h) = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:59 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 129.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 505447493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 5*d - 6*d + 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 17 - 950 - 62 - 750.\nAnswer: 3*p**3 - 1745","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*v - 21 = 0, 2*v = -0*v + 2. Let p be -3 + (-68)\/x*10. Let a = -52 - p. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -9*u + 22. Solve -1 = u*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2171 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25648080?\nAnswer: 2, 3, 5, 106867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, -12 in descending order.\nAnswer: 1, 0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4056 and 1612.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -37*b - 116. Is t(-8) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14935, 12681, 10427?\n\"Answer: -2254*u + 17189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49754650 to the power of 1\/2, to the nearest integer?\nAnswer: 7054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, -75, -285, -579, -957?\n\"Answer: -42*k**2 + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.271\nAnswer: 0.0542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 26214410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47724.7km?\nAnswer: 47724700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30642 + 16*c**2 - 6*c**2 - 30625)*(-4 + 2 + 3)*(-2*c - 3*c + 4*c) to the form u*c**3 + q*c**2 + h*c + t and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4940964*v + 4940964*v + v**2 - v**3 - v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k. Let v(j) = -45*j + 92*j - 49*j. Give l(v(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let x(s) = 5*s - 10 - 10*s + 4*s. Determine x(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17258, -137663, -464384, -1100579, -2149406, -3714023, -5897588?\n\"Answer: -17193*r**3 - 54*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101869816 a multiple of 2978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*d + 51 + 15*d - 3*d wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/49820850 and -49\/20.\nAnswer: 99641700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let m = 0.9 + d. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526794?\nAnswer: 2, 127, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -77. Suppose -b + 4*b = 42. What is the remainder when i is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3213 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 5, 2, -3, 219917 in descending order.\nAnswer: 219917, 88, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/10)\/(-3) - 62784\/240. Round n to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 28 = 3*s, q + 9 = 4*s + 1. Let m = 15\/2 - q. Sort m, 0.3, 0.7 in decreasing order.\nAnswer: 0.7, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 272781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385695 and 1380.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0466718398 to 6 dps.\nAnswer: 0.046672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 + -23.74. Let q = a + 11. Let n = -13.0000007 - q. Round n to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232355064 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**2 - 1. Suppose 3*k + 0*k = -2*d + 8, -2*d - 6 = -4*k. Give x(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49673820 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)\/(j**(2\/9)\/j) assuming j is positive.\nAnswer: j**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 1 - 1)*(3 - 1 - 5)*(-6 + 2 - 4)*(3 + 4 - 6).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-10)\/8)\/(-1))\/((-4)\/16). Let f be 1\/(-8) + (39\/(-8) - p). Suppose -8*o + 9*o - 4 = f. Put -3, -5, o in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/6 - 0)*120\/(-390). Solve -6*r + 4*z = -r - 15, -i*z - 14 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/18*(-3)\/(-3)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115415887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62815, 62936, 63057?\n\"Answer: 121*u + 62694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19336\/9 + 2143. Find the common denominator of -61\/33 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 21, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-36)*-1*2)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2025732.\nAnswer: -607719.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**4 + h**3 - 3*h**2 + 1. Let x(r) = 16*r**4 + 16*r**3 - 52*r**2 + 144*r - 84. Let n(u) = -20*o(u) - x(u). Factor n(l).\nAnswer: 4*(l - 4)*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 + 272. Suppose 0 = 5*l - 30 + j. Sort 4, -2, -9, l.\nAnswer: -9, -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51b (base 16) to base 13.\nAnswer: -797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659 + 970*s**2 - 658 + 441*s**2 + s.\nAnswer: 1411*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 + 7*o + 7. Determine j(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*q + 8*q - 13*q)*(22 - 2 - 55) + 5*q - 5*q - q + (-2 + 2 + 2*q)*(3 - 3 - 2) - 2*q + q + 0*q to the form i + v*q and give v.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543 is divided by 423?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/10)\/(82\/5159768).\nAnswer: 2, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18454*k - 3421981 with respect to k.\nAnswer: -18454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15 + 5*m - 9 + 1 + 11. Let v be o(-5). Let q(s) = -s**2 - 6*s + 11. Let w be q(v). Solve -g + w = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -72. Let h = -52\/3 - -17. What is the fourth biggest value in -11, y, 5, h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i, -6*i + 6 = 5*l - 8*i. Suppose -3*s - 757 = -2*g, 18*g - 16*g - 2*s - 756 = l. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 3*l - 3*l + 0 + 1. Let c be v(-3). Suppose 5*z - 22 = o, 0 = -2*z - 0*z + c*o - 2. Solve -5*g - z*y = -0*y - 10, -5*g + 6 = 4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1759, -6907, -15483, -27487, -42919, -61779, -84067?\n\"Answer: -1714*r**2 - 6*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -885 divided by -6?\nAnswer: 295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 2*v = -10*u - 36, 0 = -3*u + v + 22 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*i**4 + 26*i**2 + 1053*i wrt i?\nAnswer: -396*i**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:09 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12627001 divided by 25\nAnswer: 12627001\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -28 (c) -119 (d) 3 (e) -19 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 22037.\nAnswer: 22031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -0.3?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + y - 3)*(91 - 305 - 51).\nAnswer: -265*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -9.5.\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -46. Let t be (20\/(-6))\/(z\/(-12)). Which is smaller: t or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80528*d - 1292745.\nAnswer: 80528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -539 + 569. Calculate the greatest common divisor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4489582 and 985518.\nAnswer: 40406238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*v - 5*v = 14, 0 = -4*x + 3*v + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*i + 210*i + 224*i - 24948 + 3340 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Let r be 42\/22 + (-10)\/(-110). Find the third derivative of y**z - 12*y**2 - r*y**4 - y**2 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 159233268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 140*u - 331. What is the remainder when 398 is divided by z(4)?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 12 = 70*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 469\/8 + -58. Let j(f) = -4*f**2 - 24*f + 22. Let p be j(-8). Let a = 44 + p. Is r >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11559 rounded to three dps?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/7 (b) 4\/7 (c) 2 (d) 0.3 (e) -11 (f) 1598\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 11. Let u be p(8). Does 12 divide 18*2 - (0 + u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3172 greater than or equal to -3174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 24. Let b = -8 + m. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105636309407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37211.28 litres in millilitres?\nAnswer: 37211280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3\/2))**(2\/17)*m**(9\/2)\/((m**8\/m)\/m))**7)**(-16) assuming m is positive.\nAnswer: m**(2968\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102293006?\nAnswer: 2, 23, 2223761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 848797.2 millilitres in litres?\nAnswer: 848.7972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5049 - 2?\nAnswer: 5047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6658 + -6654. Sort x, 5, 41, -5, -2 in ascending order.\nAnswer: -5, -2, x, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z + 2*z - 30. Let j(a) = -a**2 + 3*a - 1. What is j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6 = -r + 1, r - 1 = -42443*b + 42442*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-2*sqrt(242)) + 0 + sqrt(7) + -1 + (sqrt(63)\/sqrt(3))\/sqrt(3).\nAnswer: -1 + 43*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -554 (base 8) to base 9.\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -688 + 690. Suppose 2*o - 28 = -w, o + i*w - 20 = -0*w. Solve 39 - o = -9*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 162 = 71*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 4361.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:32 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -17*h - 75. Is h\/(-45) - (-466)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o - 24. Let i(j) = j - 3. Determine -6*c(v) + 51*i(v).\nAnswer: 3*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6 = k, 4637 = 4*k + r + 4613 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) + 208\/36 + -2. Suppose -11*h + 2457 = -z*h. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+31485444.21\nAnswer: 31485442.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(450) - (2*sqrt(450)*-2 - sqrt(450))))\/((sqrt(99)*2 - sqrt(99))\/sqrt(11)*-3).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a0 - -19?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/18*(-5)\/((-280)\/(-12))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258903 is divided by 43120.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -564376 + 1128765\/2. Factor v + 11\/2*s**2 - 1\/2*s**3 + 25\/2*s.\nAnswer: -(s - 13)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 + 3. Let h be p(3). Suppose x - h = -x. What are the prime factors of (-3)\/x - 18\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1807 - -1792.61. Let u = k + -220.21. Round u to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + u. Suppose -4*z + 4 = -8*z. Let p(f) = -3*f. Give z*p(r) - 2*m(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in 3, 62, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*j + 6. Is (-2)\/j - -35*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3662782*a. Let k(l) = -5*l + 2. Calculate n(k(y)).\nAnswer: 18313910*y - 7325564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 6\/41 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*h + 2*y - 23, -2*h - 4*y = -20. Let a = 1370.8 + -1371.8. Sort -0.3, a, h.\nAnswer: a, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/24*(-30)\/25. Solve 5*x = -4*d + 40, 9 - 1 = h*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 17 = -5*g. Let n be -5 + 1\/(g\/(-14)). Differentiate -n*d**3 + 12*d**3 + 23*d**3 + 15 wrt d.\nAnswer: 99*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 4*r**2 - 2*r - 4. Let x be c(-4). Find the common denominator of 9 and ((-1)\/3)\/(x\/255).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/5 + 396*w**2\/5 + 266042*w\/5 - 26558196\/5 = 0. What is w?\nAnswer: -329, 93, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 44 = 2*q + 3*q, -b = -4*q + 43. Solve 0 = -4*c - 0*j + 3*j + q, 4*c - j = 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21111212011 (base 4) to base 8\nAnswer: 11254605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5796\/(-1380)*45\/(-7)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -51, 0, -3, -1, -18 in descending order.\nAnswer: 7, 0, -1, -3, -4, -18, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 14694524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1331) + -1 + -2 - (2 + 0 + sqrt(1331))) + 3))**2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -77. What is the smallest common multiple of i and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/7, 2\/19, 2\/15, -2, -0.2 in increasing order.\nAnswer: -2, -12\/7, -0.2, 2\/19, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4118520.\nAnswer: 2, 3, 5, 7, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2. Let s(b) be the first derivative of -1\/3*b**3 - 4 + 0*b**2 + 0*b. Calculate k(s(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122792?\nAnswer: 2, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 784*y**2 + 1616*y - 6336.\nAnswer: -4*(y - 198)*(y - 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let w(c) = -2*c. Give 5*k(m) + 4*w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.8 - -10.81. Let y = j + 1. Let z = y - 0.006. What is z rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14652 - 14533. Solve 44*m - 207 + y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g. Let p(n) = -50*n. Give p(b(t)).\nAnswer: -450*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.1852 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 172815 times 0.4?\nAnswer: 69126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46465419 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + -37 + 16 + 21. Solve t = -3*w - p, -10*p - 35 = 4*w - 5*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 4. Suppose 0*y + 64 = 8*y. Calculate the smallest common multiple of y and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 + x - 1. Let o = -150 + 153. Determine p(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, -45776, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from wsyjswskbjw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8889 and 457537.\nAnswer: 466426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 5.\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*y, 4*a = 3*y - 0*y. What is the third derivative of -3*z**2 + 2*z**3 + a*z**2 + 6*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 y when four letters picked without replacement from {y: 3, d: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -111 + (18 - -38).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*j**2 - 261*j**3 + j**3 - 238*j**2.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and 82\/(-7)*(-203)\/348?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1683 and 7293?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20798273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3539200 divided by -80\nAnswer: -44240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 167*n**2 + 2713*n + 558. Calculate v(-16).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9809426 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*332\nAnswer: -132.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-2)\/(-2*sqrt(360)) - (sqrt(704) - (sqrt(704) + sqrt(704) + 1)*-2)**2*-2*2.\nAnswer: 3839*sqrt(11)\/6 + 70416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3463908 is divided by 622?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 64 = 2*r + 66, 5*r = -m + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:49 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-3) - 852*19\/(-7524). Which is the nearest to 455? (a) s (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.897 + 0.797. Let q = -0.49 + -0.01. Which is the smallest value? (a) f (b) -4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 41485968.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 1, x: 4, y: 4, a: 4, n: 3}. Give prob of picking 4 x.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, -4, 0, 6, 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1664*x - 40. Let u(r) = 128*r + 3. Give 6*s(k) + 80*u(k).\nAnswer: 256*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.02, -0.199, -4\/5, -48, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 16, -3*j + 5*u + 7 = -7. Calculate the common denominator of 1*((-139)\/(-22) + j) and -39\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11725, -20819, -29903, -38977?\n\"Answer: 5*x**2 - 9109*x - 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 2287 = 3*n - 6*w, -3*n = 3*w - 2286. Suppose -5*u + n = -3*g, 119 = u + g - 40. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 7*n**3\/2 - n**2 - 4*n. Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 18, 40, 80, 144, 238, 368, 540?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 857.5 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 7*t**2 + 16*t + 3. Let o be z(-10). Let s = o - 125. Calculate the smallest common multiple of 12 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 4*a. Let m(x) = -14*x**2 - 11*x. Let k(b) = -11*h(b) + 4*m(b). Let n(v) = 2*v**2 - 4*v. Let l(r) = -6*k(r) - n(r). Factor l(t).\nAnswer: 4*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 37*j + 3. Let m be n(37). Let y be (-5)\/15 - (m + 57\/(-9)). Factor 0*x**y - 2\/9*x**4 + 0 + 2\/9*x**5 + 0*x + 0*x**2.\nAnswer: 2*x**4*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**2 - 24*u**2 + 86*u**2 - 11*u**2 - 24*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 + f**3 - 6*f**2 + 8*f**2 + 0*f**3 - 4. Suppose 3*y + 2 = 4*y. Suppose -y*q = -10 - 0. Let t(m) = -2*m**3 + m**2 - 2. Give q*t(u) - 3*n(u).\nAnswer: 2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631 + 522.2. Let d = q + 109. Which is smaller: d or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93.136 + 82.32. Round a to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/5))\/n)\/n**(-3) assuming n is positive.\nAnswer: n**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678341059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*t + 3081 = -16*t. What is the highest common factor of 15 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 28.5. Let r = -3.4 - l. Which is the nearest to 2\/3? (a) 5 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 5*t - 124, 3*h + 4*t - 277 = 0. Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -27.54. What is u rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2010)\/85 - (-2 + (-720)\/(-306))).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237151.\nAnswer: 237151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.5761 and 1.6.\nAnswer: -40.92176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 5*n**2 + 2*n - 2. What is the units digit of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1\/(10\/(-5))). Let c(b) be the first derivative of 4*b**3 + b**2\/2 + 4*b - 6. Let r be c(w). What is the highest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*v - 701 = -290*v + 9603 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**3 + 10*t**2 + 8. Let i(o) = 4*o**3 + 3*o**2 + 3. Calculate 3*f(z) - 8*i(z).\nAnswer: 4*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4 - 9*z**3 - 1062*z**2 - 4108*z - 4056 = 0.\nAnswer: -26, -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - 964*a - a**2 + 21*a**3 + 484*a + 477*a - 10 + 2*a**3 wrt a?\nAnswer: 138*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/35*(44 + 1). Let c = -4 - r. What is the common denominator of c and -61\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103563 > -103563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 + 135*k**4 + 555*k**3 + 5*k**2 - 2400*k - 1980 = 0.\nAnswer: -22, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -48. Let y(h) = 11 + 19*h - p. Let o(c) = 18*c + 1. Let b(t) = -5*o(t) + 4*y(t). Differentiate b(a) with respect to a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62122732*r**4 + 47733376*r**2 wrt r.\nAnswer: 1490945568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 + 0*u**2)*(11836*u - 3307*u - 6249*u - 7300*u).\nAnswer: 5020*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -342. Let o be ((-8)\/f)\/(429\/(-36) - -12). Let -8\/3 + 10\/3*p**2 + o*p = 0. Calculate p.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160446 divided by 6.\nAnswer: 26741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v - 4 + 4*v.\nAnswer: 4*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19691\/181 = 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 278*k - 1. Let x be f(-7). Let s = x - -9797\/5. Let t = 12 - s. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.433081 and 31?\nAnswer: 75.425511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 5.\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(2\/(-6)))\/((-16)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 - n**2 + 4*n**2)*(-1 + 1 - 2*n) + 93843*n**3 - 93864*n**3 + 2*n + n as w*n + z*n**2 + k*n**3 + y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0*s**2 + 5*s**2 + (s - 4 + 4)*(-3*s + 2*s + 3*s) + 4*s**2 + s**2 + 7*s**2)*(-3 - s + 3).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -15*u. Let m(v) = 9*v**2 - 12*v + u*v**2 - 6*v**2 + 9. Calculate the least common multiple of m(4) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4396994.\nAnswer: 2, 7, 127, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 + 153. Suppose -k = -z - z - 5, -4*z = k + t. Sort -6, k, -1 in ascending order.\nAnswer: -6, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 8. Suppose 2*y - g - 27390 = w*y, -4*y + g - 21921 = 0. Let h = y + 32749\/6. What is the common denominator of h and -27\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22088 and 704.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 5 + 14*d - 1 + (d - d - 2*d)*(1 + 0 - 3) - 3 - 2*d + 3.\nAnswer: 16*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from muzuzstsuzzuzzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 3936?\nAnswer: 13\/3936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665305772.\nAnswer: 2, 3, 13, 10675037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*2 - sqrt(272) - sqrt(272))**2 + (sqrt(170) - sqrt(170)*1)\/sqrt(10) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6539 and 4108?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2092*z**4 - 328*z**2 + 272*z - 5442 wrt z?\nAnswer: 25104*z**2 - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5365399l?\nAnswer: 536.5399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976084 - 1990364 = -340*v for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101010000100 - -101?\nAnswer: -10001101001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47697554.\nAnswer: 2, 3517, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from dlkgz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528830987 - 0.2216?\nAnswer: 4528830986.7784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/23 or -2?\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13891490 is divided by 375?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -0.4, -8 in increasing order.\nAnswer: -8, -5, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 <= 393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17852*p - 108 = -5*r - 17848*p, -p - 115 = 19*r - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 - -9 - (-4 - (2 + -3)). Suppose 3*d + y = -5*i, 3*i - 3*d + 14 = -8*d. Let x = 47 + -25. Solve 0*n - 4*l = i*n - x, n + 24 = 5*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 22. Let z be h(9). Let j be (-45)\/36*(0 - z). Suppose -y + 4*y + 4*r = 38, j*r - 19 = y. Calculate the least common multiple of 1 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (sqrt(304) + (-1*(sqrt(304) - sqrt(304)*-3 - sqrt(304)) - sqrt(304)) - sqrt(304) - sqrt(304)*-3*4))*1 + 3)**2.\nAnswer: 256*sqrt(19) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -154, 271, 1042, 2165, 3646, 5491?\nAnswer: 7706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 2348906.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-16) assuming r is positive.\nAnswer: r**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 7*d + 3*z, -22 = -2*d + 5*z. Suppose -75 = 2*f - 7*f. What is the highest common factor of f and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 447.6345ml?\nAnswer: 0.4476345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3683 and 14\/145.\nAnswer: 18415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 2377693572*l - 471118893527509932 = 0. Calculate l.\nAnswer: -396282262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnfn. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/9 + 148*z\/9 + 149\/9.\nAnswer: -(z - 149)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4650*g*r + 48*r + 24 wrt g.\nAnswer: 4650*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*a = -115*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 + 176 + 9*i - 515.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.509 and -1.4.\nAnswer: -0.7126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -106099574.5 rounded to the nearest ten thousand?\nAnswer: -106100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00305754318 to five decimal places.\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 18. Suppose 26*m + 23*m - 5 = -54. Let k(c) = c - 1. Calculate m*k(h) - s(h).\nAnswer: h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -917 > -819217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169.83*-5.\nAnswer: -849.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/110)\/((-4)\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -11. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78.9 - 7.9. Let j = r - 77. Let o = -7 - -12. Which is the biggest value? (a) 0.3 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 10*y**2 - 14*y - 15. Let f be v(9). Let i = 222 + f. Let r(d) = -d**3 - 2*d**2 + 3*d. Let a be r(-3). Solve 2*p + i*p = a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2978, -3038, -3134, -3266, -3434?\n\"Answer: -18*c**2 - 6*c - 2954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -1) - (-3)\/(180\/(-200)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-280)*21*(-4)\/(-3)*26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -35*s**4\/4 - 8*s**3 - 2*s**2 + 19. Factor c(y).\nAnswer: -y*(5*y + 2)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 3:05 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 206 = 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 16 + 16*k**2 + 16.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) - (-2*sqrt(75) + sqrt(75))**2) + (2 + sqrt(75) + sqrt(75)*-2)**2 + 3 + (-4 + sqrt(75) + 1 - sqrt(75) - 3*2*sqrt(75)).\nAnswer: -60*sqrt(3) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-1 - 3)*(-3)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88387 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:43 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -34. Suppose -i + 4*x + z + 1 = 0, 123 = 4*i - x. Suppose -i = -3*k + 79. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98169 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let h(p) be the first derivative of p**2\/2 + 4. Determine h(z(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 61*y + 14. Let d(x) = -21*x - 5. Let v(i) = -17*d(i) - 6*g(i). Give v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, -1709064 in ascending order.\nAnswer: -1709064, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyrrryyyryrrry.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-10)\/(m**18*m)*m**(-1\/28)\/m*((m\/(m\/(m\/(m\/(m\/m**0)))))\/m)\/m assuming m is positive.\nAnswer: m**(-869\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3498*w**3 - 7*w**2 + 17*w - 12. List the prime factors of h(2).\nAnswer: 2, 3, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8988, 8989, 8990?\nAnswer: 8991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -29. Let b = -72 - -82. Find the first derivative of 27 + 22*t**o + 13*t**2 - t**2 - b*t**2 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -353, -362, -375, -392?\n\"Answer: -2*j**2 - 3*j - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k + 12. Let b(j) = 15*j + 25. Let y(l) = -6*b(l) + 13*n(l). Let r be y(-4). Suppose r*s = 118 - 8. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.30999989 + 1.31. Round k to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121134*m - 274898*m + 131938*m.\nAnswer: -21826*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*22*(-10)\/(-330).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 2*t**2 - t**2)*(5*t**2 - 3*t**2 - t**2) + (3*t - 2*t + t)*(5*t**3 - 116*t**2 + 116*t**2) to o*t**3 + u*t**4 + d*t + p + n*t**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119249 is divided by 8830.\nAnswer: 4459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55.3 + -3718.\nAnswer: -3662.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22265\/33402 + -1\/11134. What is the third smallest value in -115, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 4, z: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6634 = 1976. Let g(u) = 1194*u - p*u + 1167*u. Let o(n) = 10*n. What is o(g(f))?\nAnswer: 320*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqv when four letters picked without replacement from qvvqqqv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 5, c: 3, j: 1}. Give prob of sequence bjcl.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 384*t**2 + 274*t**2 - 426*t**2. Let n(o) = 4*o**2. Give n(r(v)).\nAnswer: 215296*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:53 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855 = 28*x - 29*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-8)\/80*(-24)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 1057.\nAnswer: -14798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:01 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*i - 6 = 0, 8*n - 5*n + 4*i - 26 = 0. Suppose 7*p = -n*p + 2268. What is the greatest common divisor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308.42 - -360. Let o = r + -52. Let g = o + 0.41958. What is g rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/t**1)*t)\/t))**(15\/2)*t\/t**11*t\/t**(-12) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959738?\nAnswer: 2, 13, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3324*q - 10 = 4*v - 3327*q - 0, 2*v = 4*q - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*n + 1650*n = -1104*n - 34884 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215284270?\nAnswer: 2, 5, 389, 55343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3701 (base 9) to base 16.\nAnswer: -ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:33 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let c be -2 + 1 + 2*2. Suppose -c*p - p = 2*i + 8, a = -5*p + 2*i. What is the nearest to -0.1 in p, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/3 and -83\/20640.\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-1\/15))\/n))**(-1\/26)*n**(-18)*n**(-2\/5))**(-11\/8) assuming n is positive.\nAnswer: n**(9889\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -16. Let f(u) = 6*u - 8. Let x(q) = 4*q - 5. Let m = 14 + -19. Let b(d) = m*f(d) + n*x(d). Let g(p) = -13*p. What is b(g(o))?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1330 by -95.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 64.8.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/130 and 2\/114179?\nAnswer: 1141790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/18*-1*(180\/((-4620)\/(-77)))\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 7, 1.\nAnswer: -212, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115718729 and 406?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -107?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkumkkum. What is prob of picking 1 k and 2 m?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a year in months?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 57389.\nAnswer: 172167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 165*y**3 - 1483*y**2 + 14*y - 126. Determine u(9).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/2)*z*z))\/z**(10\/3))\/(z*z**11\/z)**(3\/2) assuming z is positive.\nAnswer: z**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*w - 5*i - 11, 10 = -2*i. Sort 4, -4, w in decreasing order.\nAnswer: w, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1195*g - 283209. Give r(237).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/26 + 76*7\/56?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623*r - 96 = -647*r. Solve 0 = -7*w + 18 - r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-239520)\/(-57) + 10\/(-95). Suppose 522 - n = -4*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1412765 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.681416 milligrams to tonnes.\nAnswer: 0.000000000681416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 919531800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*(-1 + -3). Let o be 2\/(-8) + (-11)\/4. Let z be (-5)\/3*-5*144\/300. Sort z, b, o in decreasing order.\nAnswer: z, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h - 1434 - 1632 = -103*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/41 (b) -1\/3 (c) 647 (d) 3\/136 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12997*z + 155949. Give p(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 27 + 22 + -41.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7684039428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**2 + 1\/12*a**4 + 0*a**3 + 8*a + 0. Let g(f) be the first derivative of -7*f**3\/3 - 4. What is g(s(q))?\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 14) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 25\/9, -1, 0.04 in descending order.\nAnswer: 25\/9, 0.04, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14943*g - 14922*g + 44746*g - 14914*g.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9034*u**4 - u**3 - 8112*u wrt u?\nAnswer: -108408*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180194.109 rounded to the nearest one thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -3*(0 + sqrt(75) - sqrt(75))**2 + -4*(sqrt(75) + 1) - (5 + 2 + sqrt(75) + 0 + sqrt(75))**2) + -4.\nAnswer: -357 - 155*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 5:06 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 4. Let h(d) = 5*d - 11. Let p(j) = 7*f(j) + 3*h(j). Let w(b) be the second derivative of -b**3\/6 + 2*b**2 - b. Determine -2*p(y) - 3*w(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 + 132. Calculate the common denominator of (-3)\/(-7)*(-186)\/18 - m and 41\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80310853\/29 greater than 2769340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from wfwfwffwfwffffff?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18308928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/21)*(n*n**(2\/25))\/n assuming n is positive.\nAnswer: n**(92\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1185934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 + 50 = 27*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Suppose -2*f + f + 4 = 2*k, j*f - 2*k + 12 = 0. Sort f, 2, -4 in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Solve -2*m - 17 = 3*c, w*c = -0*m + 3*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 157*a**2 + 648*a + 83. Calculate b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -m - 15, -25 = -5*c - 0*c + 5*m. Let b(v) = -v - c*v - 5*v + 2*v. Let q(d) = d**2. Calculate q(b(s)).\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.03783 days to seconds.\nAnswer: 3027268.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1255*w - 400*w - 797*w - 95628 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39141\/88 + -3535\/8. Let -2\/11*d**2 - 16\/11*d - n = 0. Calculate d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = 15. Let j = 313 + -189. Suppose 100 = 4*f - n, n = -w*f + 2*n + j. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 - 64*t + 15*t**2 + 32*t**3 + 81*t**2 - 30 - 11*t**4 - 162 - 4*t**5 = 0. What is t?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98\/(-8)*-124*1 - (2 - 1) and 1242?\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 15*d. Let c be r(8). Let b(y) = c*y**2 - 11*y - 6*y + 17*y. Let p(h) = h. Give b(p(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3427 = 4*v - 7*v - 5*x, -5 = 5*x. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 8. Let a = 295 - 300. Let n(o) = -6*o - 5. Let h(j) = 13*j + 10. Let f(w) = -4*h(w) - 9*n(w). Calculate a*u(r) - 8*f(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 1602*r**4 + 20*r**2 + 800*r**4 - 1 + 788*r**4 to d*r**3 + y*r + l*r**2 + z*r**4 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 81 = -5*h, -7*z - 55 = 3*h - 2*z. Let b = 22 + h. Suppose 3*o = 94 - b. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4104990990?\nAnswer: 2, 3, 5, 45611011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3546414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34434342.\nAnswer: 2, 3, 41, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -96*q + 98. Let v be u(1). Suppose 408 + 84*r**2 - 264 - 5*r**3 - 20*r**v - 228*r = 0. Calculate r.\nAnswer: 4\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739282 divided by -2?\nAnswer: -369641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(34)\/(sqrt(2) - (sqrt(2) - sqrt(4)\/sqrt(2)*-6)) + ((-2*(sqrt(136)*-3 + sqrt(136)))\/sqrt(8)*2)**2 + -2.\nAnswer: -sqrt(17)\/6 + 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -19*t + 7. Suppose -4*x - 11 = 3*m + 6, -3*x = -3*m - 3. Let n(u) = -10*u + 3. Determine m*h(c) + 7*n(c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101314630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -16*c - 2*l - 708, -3*l = -c + 708. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97347158462*k - 3*k**3 - 97347158462*k + 5*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, 0.17, 1\/1044, -1 in increasing order.\nAnswer: -17, -1, 1\/1044, 0.17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 - 1 + 4 + 9*z - 2.\nAnswer: 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28980 divided by 483\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:01 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -386.80646 from -8791808.\nAnswer: -8791421.19354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 13. Let m(p) = -9*p - 26. Calculate 7*g(k) - 4*m(k).\nAnswer: k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 2*w**3 - 2*w**3)*(0*w**2 + 4*w**2 + w**2).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/2)\/(g*g**(-2\/7)\/g)*g**(-2)*g\/(g*g**(-2\/3)))\/((g**(-2\/7)\/g)**(3\/34))**11 assuming g is positive.\nAnswer: g**(607\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63822 = -3*x + o - 63875, x - 5*o = -279 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 2*(-556)\/32. What is the third derivative of 401*u**3 + 429*u**3 - 860*u**3 - h*u**2 wrt u?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 157, 242, 333, 430, 533, 642?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 34\/1217 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91835217 + -0.149.\nAnswer: 91835216.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4 and 59\/62112?\nAnswer: 62112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.044 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2657 and -425651.\nAnswer: -1130954707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2. Let s(c) = 8*c - 12*c - 8*c - 8*c. What is r(s(j))?\nAnswer: 400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1349 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*u + 17 = 0, l = -l + 4*u + 22. Suppose 4*r = l*r - 312. Suppose 0 = -4*b + b + 4*n + r, 2*b = n + 61. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -67, -150, -233, -316?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 51 = 4*q, -h - 3 = -4*q - 6. Let t(m) = 153*m**3 - 27*m + 27. Let x(b) = -22*b**3 + 4*b - 4. What is h*x(l) + 4*t(l)?\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 3*g + g + g + 5*g + 2*g + (1 - 1 - 2)*(g - 2*g - 2*g) + 31*g + g - 10*g to the form f*g + h and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32110022020 (base 4) to base 2\nAnswer: -1110010100001010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3426 (base 7) to base 4\nAnswer: 103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200356978.\nAnswer: 2, 89, 127, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1 - 7 + 4 - r as f + u*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2132191708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-63)\/14 + 4)*-8. Sort -13, 3, x, -35 in descending order.\nAnswer: x, 3, -13, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -4*w - 18, -3*w - 23 = -4*y. Suppose -29 = -y*l - l - 2*r, r = l - 18. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 15 - 2*o + 8 + 6*o**4 + (259 - 259 + 196*o)*(-2*o**3 + 3*o**3 + 2*o**3).\nAnswer: 594*o**4 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 3 - 41*g - g**2.\nAnswer: -g**2 - 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2370)\/(-2686))\/((-3)\/(-34)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84078459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n**3 + 38*n**3 + 9 + 64.\nAnswer: 3*n**3 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4323\/8*j**2 + 111\/4*j**3 + 3\/8*j**4 + 999*j + 486.\nAnswer: 3*(j + 1)**2*(j + 36)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 8 in decreasing order.\nAnswer: 8, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569234 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21042 + -118644.26.\nAnswer: -97602.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-10))\/(111\/(-29230)). Let a be ((-2286)\/(-15))\/(2\/10). Let f = a + u. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16231775 and 125806.\nAnswer: -16105969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*d = -14, -3*t + d + d + 8 = 0. Let z = 27.02 + -23. Let j = 0.02 - z. Which is the third biggest value? (a) j (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2\/4 - 49*q\/4 + 147\/2 = 0.\nAnswer: 7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 332025 (base 7) in base 14?\nAnswer: 17385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 3*h + 3. Let g be u(-4). Is (-3935)\/g + (-2)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2661 is divided by 871?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 10*r**2 + 9 + (5 - 1 - 2)*(-r + r**2 + r) - 4 + r**2 + 4 - r**2 - 3*r**2 + 2*r**2 - 3*r**2 + 2*r**2 + 0*r**2 to a*r**2 + z + j*r and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -331, -662, -1005, -1366, -1751, -2166, -2617, -3110?\n\"Answer: -f**3 - 324*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30605149 is divided by 7651248.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 8*k + 17. Let n be v(4). Solve -g + n = 3*a - 0*a, 3*a = -5*g + 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.7189 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g - 152. Determine j(-18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 149. Give v(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 - 4*c - 10. Determine g(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 - 140*o + 69. Determine a(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37333713*s**2*y**3 - 4*s**2*y**2 + 10*s*y**2 + 7*s*y - 5929 wrt y.\nAnswer: 224002278*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/(1620\/135)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from aaatatattttt.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 68. Let h = l + 16. Let q = 241 + -725\/3. Which is the second smallest value? (a) -3 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -190*g + 28. Let v be x(-3). Let u = v - 295. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 23*i + 3*v = 4, i = v. Find o, given that -2\/3*o**i + 4\/3*o + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2028 by 1014.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 25 = 4*n. Let q be ((-6)\/4)\/(13\/n). Let u = 2 - 3. What is the nearest to u in 0.1, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 49 + 11)*(2*y**2 - 1 + 1).\nAnswer: 114*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2\/3, 7384, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/662 (b) 3 (c) -0.4 (d) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -13 + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 3*o - 14, 5*o = -2*q - 15. Suppose 5*h + q*f = f + 70, -25 = -3*h + f. 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: Three letters picked without replacement from {g: 5, i: 1, j: 1, o: 1, h: 4, v: 1}. Give prob of sequence vij.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cemeeeeev. What is prob of sequence emc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w - 37*w + 7*w + 7*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*h - 5*n, h - 471 = -5*n - 481 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -2*n**5 - 151*n + 234. What is the first derivative of w(d) wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h - 2*j - j + 87 = 55*h - 0*j, 4*h = -4*j + 32 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1478 + 1553. What is the smallest common multiple of s and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45602+-0.1\nAnswer: -45602.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -22*x - 42. Let q be p(-2). Let v(m) = -m + 7. Let w be v(5). Is w not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17e (base 16) to base 6.\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24411*o + 24412*o + 18*p + 39, 3*o - 4*p = o - 0 + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 69*d + 19. Let w(s) = 75*s + 30. Calculate -6*k(n) + 5*w(n).\nAnswer: -39*n + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/21)*a*a*a\/a**(-12))**(-50)*(a*a\/((a*a**(-2))\/a))**(1\/20)\/((a\/(a*a**(-1\/5)))\/a)**9 assuming a is positive.\nAnswer: a**(-78473\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 254 = 2. What is the remainder when 141 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 12*c - 200. Suppose 5*s - 15 = 2*k, -3*k - 5*s + c = -0*s. Solve -l + 0 + 5 = k*q, -q - 25 = -5*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3\/12*0. Suppose w = -3*j - 4*d + 13, -j + 5*d = -2*j + 8. Suppose -5*l + 2*q = -155, 0 = -j*l + q + 4*q + 112. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*p - 3 = 0, w - 202 - 214 + 419 = 5*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(29*u + 109 - 109) + u + u - 4*u.\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186694 equal to 186684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -1\/66*n**3 + 1\/220*n**5 + 1\/132*n**4 - 12*n + 0 - 1\/22*n**2. Suppose d(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 21 = 3*a. Let g = -46 - -76. Calculate the highest common factor of g and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2\/5, -2, -0.5, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s**2 + 28*s**2 - 1 - 1)*(2 - 5 + 5).\nAnswer: 30*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(2448) - (0 + sqrt(2448))*-4 - sqrt(2448))**2*5*1.\nAnswer: -1175038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/5 + 5*q**4\/12 - 77*q**2 - 15*q - 6. Differentiate l(v) with respect to v.\nAnswer: 12*v**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1331) - (sqrt(1331) + (-2 + sqrt(1331) - sqrt(1331)) + -4) - sqrt(1331)) + -5*(sqrt(1331) + -1))*5)**2.\nAnswer: -181500*sqrt(11) + 6004625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147\/293 - 1\/586. Sort 2, l, 0.302 in decreasing order.\nAnswer: 2, l, 0.302","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 2*c**2 - c**2)*(-5 + 3 - 6).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**6\/18 - c**5\/5 - c**4\/4 + 7*c**3\/9 + c**2 + 187. Find d, given that v(d) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x + 3. Let k(j) = 5*j**2. What is p(k(h))?\nAnswer: 25*h**4 - 5*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -271*d - 27. Let a(v) = -6498*v - 646. What is -4*a(q) + 95*c(q)?\nAnswer: 247*q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/13 + 1238326*f\/13 - 4953272\/13.\nAnswer: -2*(f - 619159)*(f - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 1. Let s be l(-4). Solve s*p + 15 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 27*a - 33. Let q(o) = 4*o**2 - 41*o + 50. Let y(t) = -5*q(t) - 7*v(t). Let u be y(-17). Is u less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040300445 to the power of 1\/3, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 41*t**4\/4 - 267*t**2\/2 + 32*t. What is the derivative of g(b) wrt b?\nAnswer: 246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 2*q**2 - 2*q**2 + (-643*q + 411*q - 392*q)*(-1 + 1 - q) + (-2*q + 3*q - 2*q)*(-q - q + 0*q) in the form y*q**2 + a*q + n and give y.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5111.723 rounded to the nearest 10?\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56895588 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5015*j**2 + j**3 + 10040*j**2 - 5019*j**2 - 2*j - 5. Let d = -15 + 9. What is v(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.3, 0.5, 14, -1\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3, -0.4, 15679, 5.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 541 - 124 - 292 - 331 + f as r*f + g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21390270*w**3 - w**2 + 34*w + 9854 wrt w.\nAnswer: 128341620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 63 - 15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265383971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express -513*w**2 - 700*w**2 - 112*w**2 - 2*w**2 - 1 + 0*w**2 + 2 + (3*w - w**2 - 3*w)*(2 - 1 + 0) as z*w**2 + l*w + r and give z.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -271 + 293. What are the prime factors of (-11)\/(a\/(-1312)) - -1?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 7*o**2 - 4*o - 11. Let n be w(6). Suppose 3*i - 1 = -4*s - 0, -i - 6 = -5*s. Are s and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5356279 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*f - 3437, f + 4590 = 4*k + 4*f. List the prime factors of k.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 divided by 7?\nAnswer: -181\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + v - 224 = 0. Suppose 0 = -4*f - v + 252. Suppose 2*l + 2*g - f = -3*g, -15 = -3*g. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/20793 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-24)*(1 + 5). Let i(j) = j**2 - j**3 - 5*j - j**2 - 5*j**2 + j**2 - x. What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-6)\/(-8)) - -2. Let i = 0 + q. Which is the third biggest value? (a) 0.2 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15.93 in 0.1, -0.073, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(91) - -4*sqrt(91)*-3)\/((sqrt(224)\/(1*sqrt(4)))\/(sqrt(128) + 1*sqrt(128))) + -3.\nAnswer: -48*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -31*b**3\/3 - 3*b**2\/2 + 3*b + 3927. Let z(g) = -2016*g**2 - 196*g + 196. Give 196*f(j) - 3*z(j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -677301789*v**3 - 211*v**2 - 1042405.\nAnswer: -4063810734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466844.6 hours to seconds.\nAnswer: 1680640560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1706 (base 11) in base 8?\nAnswer: -4210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2769383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 - -203?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a8c4 - -8d?\nAnswer: -1a835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m + 31*m - 59*m - 3)*(-199 + 199 + 14*m + (2*m - 2*m - m)*(3 - 2 + 0)).\nAnswer: -234*m**2 - 39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -91. Suppose 0 = 3*p - 4*p + 12. Let c = b + p. Calculate the smallest common multiple of c and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 + 1252*x**4*z - 2*x*z - 1584*z wrt x.\nAnswer: -20*x**3 + 15024*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:00 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 1681, 3780, 6719, 10498?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 99 + (1 - 14) + -54\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756848427.\nAnswer: 3, 53, 71, 67043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -6*t. Find p, given that 0 + 1\/3*p**2 - 4\/3*p**3 + t*p = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.51 - -1.79. Let l = y - 2.2991. What is l rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191123.\nAnswer: 191123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30742.\nAnswer: 2, 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a620 (base 11) to base 15.\nAnswer: -8784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2213712330 divided by 3\nAnswer: -737904110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {r: 4, t: 2, n: 1, d: 10, e: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*((-1 + (sqrt(112) - sqrt(112)*2) - sqrt(112)) + -5*sqrt(112)*3 + -3))**2.\nAnswer: -2428800 - 40800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -66*q**2 - 9. Let h(a) = 33*a**2 + 5. Let y(g) = -6*d(g) - 11*h(g). Is y(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 7096*r = 5*t - 7094*r + 50, 4*r - 20 = -5*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 276*1157\nAnswer: 319332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/36*6\/4. Let n be ((-16)\/(-4) - (10 + -1))*(-6)\/(-315). Put 2\/3, m, n in descending order.\nAnswer: 2\/3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*c - 1431 - 1343, -4*k - 4*c = -2756. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4615434*y**3*z**3 + 3*y*z**3 + 48194*y wrt y.\nAnswer: -27692604*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2*w**2 + 31 + 0*w**2 in the form c*w + l*w**2 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/160)\/((2\/(-20))\/1). Let g(q) = -2*q + 7. Let v(c) = c - 6. Let j(p) = s*v(p) - 3*g(p). Determine j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*q = 2*q - 10, 2*q = m. Let j be 12\/3 + 1 + -1. Suppose j*l - 4 - 32 = -2*s, -1 = l - m*s. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1826 and 18?\nAnswer: 16434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.596193 centuries in months?\nAnswer: 715.4316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(2\/(-12)). Let w be (-9)\/u + (-4)\/(-2). Let k(h) = 27*h**2 - 6*h + 5. Let p be k(w). Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340085318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 8) in base 5?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 417 - 65 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1503008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -15. Let o be (-14)\/(-6) - (-2)\/i. What is the second derivative of -p + 3*p**o - p**2 - p**2 - 4*p**2 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-3)\/30). Suppose 0 = c*u - 2510 + 685. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1637 + -1645. Let a(o) = o**2 + 8*o - 11. Determine a(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1925 - -1963. Solve 0 = x*i - 17 + 93 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*1953\nAnswer: -21483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -8*x - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918460157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k - 5 = -61*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 217 - 758. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 90*v**2 + 22*v - 13. Let s(n) = 47*n**2 + 10*n - 7. Let x(w) = -2*m(w) + 5*s(w). Let f(k) = k - 6. Let l be f(8). What is the hundreds digit of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5fa0 (base 16) in base 8?\nAnswer: 6657640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 593915807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = 49*s - 22*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 305, -1027, -3921, -8383, -14419?\n\"Answer: -h**3 - 775*h**2 + 1000*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 11. Let b be m(-9). What are the prime factors of 3\/(-6) + 49\/b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 4)*(-4*h**2 + 0*h**2 + 6*h**2 - 3) as y*h**2 + t + p*h and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tto when three letters picked without replacement from {o: 6, w: 9, t: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 = -i + 4*i, 2*i - 14 = 4*w. Let d be 1\/2*46\/46*(0 - -2). Suppose -4*f + 12 = 4*o - 0*f, 0 = -4*f. Put i, 4, o, d in decreasing order.\nAnswer: 4, o, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aalfllal. What is prob of picking 1 f, 2 a, and 1 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/4*95\/(-76).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137.7 - 154. Let o = f + 16. Which is the second smallest value? (a) o (b) 2\/3 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from {x: 9, o: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1371185 divided by -2.\nAnswer: 1371185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-54))\/((-12)\/(-27)). Which is the nearest to -1? (a) w (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 122, 375, 842, 1595, 2706?\nAnswer: 4247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*-3*(sqrt(108) + 1 + sqrt(108) + sqrt(108) + 3 - (4 + sqrt(108) + 0))*6 + 2 + 2)**2.\nAnswer: 7776*sqrt(3) + 559953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 1, r: 1, x: 7, e: 5}. What is prob of sequence xee?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - i - 6. Let s(v) = v**2 + 1. Let h(u) = j(u) + 5*s(u). Suppose 2*p + 8 = -3*m, 4*p = 14*m - 19*m - 14. Calculate h(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 3*g**2 - 10*g + 8. Calculate z(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (721\/63 - 7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -97. Let x be (-9)\/12*2*2*b. Solve 2*f + 0*f - x = 5*h, 0 = 4*f + 2*h - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.07 + -0.07. What is the smallest value in -2\/3, l, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3834)\/(-72))\/71)\/(6\/(-104)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2\/9 (c) -2.8 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/11 - 625\/22. Calculate the common denominator of (-22)\/24 - (-2)\/(-1) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a millisecond in microseconds?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, 6\/11, -0.08, 5, 6\/13?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcvvvzzzzbbz. What is prob of picking 2 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 1. Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:32 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 0 - (-36 + 56) - (0 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -886?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 1 + (-3 - 0). Suppose 7*v - 2*v - 1376 = h*k, 5*k + 1108 = 4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 986.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33339, 33342, 33333, 33306, 33255, 33174, 33057?\n\"Answer: -c**3 + 10*c + 33330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.2 (c) -2\/297 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3*t - 3)*(-5*t - 2*t - 3*t).\nAnswer: 30*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -47*g**3 + 3*g**2 + 6*g. Suppose -5 - 5 = 5*c. Let i be z(c). Suppose 0*q = -5*h - 5*q + 950, -3*q = 2*h - i. What are the prime factors of h?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, 5, 7\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42680712 divided by 24\nAnswer: 1778363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1 - 5\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -13, -11, -7, -1, 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 385 = -3688. What is the remainder when 481 is divided by d?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - t**2)*(-1 - t**2 + 1) - 3975*t**3 + 3975*t**3 + 181*t**4.\nAnswer: 182*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 0.08\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*y**3 - y + y + 596*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + m**4 + 0*m**3 + (439*m**2 - 201*m**2 - 183*m**2)*(-m**2 + 0*m**2 + 0*m**2) to the form x*m + w*m**4 + z + f*m**2 + u*m**3 and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.07, -0.1, -0.2, 5, 32.\nAnswer: -0.2, -0.1, 5, 12.07, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 11*f - 312 = 89*f. Is q - (664\/(-4) + f) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/11? (a) -452 (b) 3\/5 (c) -0.13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3))**12\/(j*(j*j**(1\/2)\/j*j*j)\/j*j*j**(-2\/3)))**(-38))**(-50) assuming j is positive.\nAnswer: j**(-221350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 172, 168, 162, 148, 120, 72, -2?\n\"Answer: -i**3 + 5*i**2 - 12*i + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 11:16 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73927.\nAnswer: 7, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.946 - -0.054. Let u = m + -80.000000655. Round u to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-29)\/(-4) + 4\/(-11 + -5). Let z(x) = -x**3 + 9*x**2 + 2*x - 1. What are the prime factors of z(q)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -115, 26 in descending order.\nAnswer: 26, 5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 6\/3)*0. Suppose 5*m + 3*f + 16 = 0, -4*f + 8 = -3*m - 19. Sort l, m, -1.\nAnswer: m, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257 - -262. What is the remainder when ((-630)\/25)\/(-9)*n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229.3 + -229.1. Let t = -4.8 + -1.2. Put k, 4, t in descending order.\nAnswer: 4, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 17084\nAnswer: -5\/17084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 11*v**2 - 12*v + 15. Let l(a) = 11*a**3 + a**2 - 2*a. Let u be l(1). Determine f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o**5 - 174995*o**4 - 721571*o**3 - 960481*o**2 - 456394*o - 42456 = 0 for o.\nAnswer: -2, -1, -4\/33, 5307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247254380 is divided by 2678.\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 15) to base 9.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340 = -63*y + 73*y. Is y a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5214*f - 12. Let l be b(-8). What is l rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3, -0.04, -0.2, 28 in ascending order.\nAnswer: -4, -3, -0.2, -0.04, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1950\/18)\/13 + (3 - 9). Let g(w) be the second derivative of s*w**3 - 2*w**2 - 1\/2*w**4 + 0 - 28*w. Suppose g(l) = 0. Calculate l.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v - 8*v - 5*v)*(-2*v**3 - 1 + 1) to l*v + z*v**2 + x*v**4 + g + w*v**3 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 368013001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215408 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90 + 181 + 4436 + 3505)*(3*c - 4*c + 0*c) to the form m + t*c and give t.\nAnswer: -8032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 202.\nAnswer: 33\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*i + 8 = 2*t, 2*i + 2 = -t. Let o be -2 - -2 - t - -3. Suppose 0 = -2*x - 4*p + 146 - 62, 0 = o*x - p - 210. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:25 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + 66\/14. Let z = 7 - q. Suppose 0*b**3 + 0*b**z + b**3 + b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1642032 by -3024.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**3 - 59*b**2 - 4*b + 4. Let m(h) = 4*h**3 + h**2 + h - 1. Determine 5*m(t) + y(t).\nAnswer: 12*t**3 - 54*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 251082 <= 251082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or -696316?\nAnswer: -696316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -74*4\/(-8) - 4\/(-1). Let v = r - 36. Solve 0*d = v*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 4)*((0*y - 4*y + 3*y)*(2*y + y - 4*y) + 6*y**2 - 4*y**2 + 0*y**2 + 0*y**2 - y**2 + 3*y**2) as q*y**2 + x*y + v and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69437414*q**3 - 94669*q**2 - 168*q wrt q.\nAnswer: 416624484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca6 + 5?\nAnswer: cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4240070657*x**2 + 1 - 4240070656*x**2 - 1.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/72)\/((-3)\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 25. Let l be 2\/(-6) - (-46)\/(-6). Let m = -13 - l. Put j, 2\/5, m in increasing order.\nAnswer: m, j, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38052 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 12*s**2 + 102*s + 1065. Let h be y(-14). Calculate the highest common divisor of 4089 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g - 49*g + 143*g - 47*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 55*h + 1191. Determine b(-22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - 2. Let q = v - -24. Suppose 0 = 3*h - q*h. Solve 3*o - 2 - 7 = h, -c = o - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(4 - (-6740)\/(-1676)). Let q be (0 - 5)\/((-4)\/(-56)). Let p = z + q. Put 0, 0.1, p in ascending order.\nAnswer: p, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 - 372180121189?\nAnswer: -372180121073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 817, 866, 917, 970?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 49*z + 28. Give g(4).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 2197706.\nAnswer: 3\/313958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2733519 to the nearest 1000.\nAnswer: 2734000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -95940, -95153, -94354, -93537, -92696, -91825, -90918, -89969?\n\"Answer: s**3 + 780*s - 96721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -402*i + 411*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f)**(-1\/53)*(f\/(f\/f**(1\/6)))**(-6) assuming f is positive.\nAnswer: f**(-704\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -44. Let q = v + 18. Let g = 27\/4 + -7. Put -5, g, q in decreasing order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -0.3, -709?\nAnswer: -709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, -4\/5, 8.6, 43\/8, -3 in increasing order.\nAnswer: -18, -3, -1, -4\/5, 43\/8, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -80. Determine u so that 6*u - 32*u**4 - 65*u**2 - 46*u**3 + i*u**2 - 50*u**3 = 0.\nAnswer: -3, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsb when three letters picked without replacement from sbpnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 11:22 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvqvvvvvvv. Give prob of sequence vv.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 67*r. Let m(y) = -2*y**2 - 64*y. Let k(f) = 3*c(f) + 2*m(f). Let p(w) = 5*w**2. Determine p(k(d)).\nAnswer: 5*d**4 - 730*d**3 + 26645*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/(-18) - (-10)\/15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s - 13 = -3*t, 5*s + 24 = -t. Let -9\/4*z - 1\/4*z**3 + 3\/2*z**2 + t = 0. What is z?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1303330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*280\/(-28)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4))\/(9\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*1*-1)\/(sqrt(7) + (sqrt(252) - (sqrt(252) + sqrt(252)*-1 + sqrt(252)))) - (sqrt(300) + 2*(-3*sqrt(300) + sqrt(300)) - sqrt(300))\/sqrt(6))**2.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.481, 1\/18, 1\/4, -0.1, 5 in increasing order.\nAnswer: -0.1, 1\/18, 1\/4, 3.481, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 142412.\nAnswer: 142412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.2 (c) 3 (d) 6 (e) 0.8 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 2778*y - 131048. Calculate c(48).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/393 - 649\/1179. What is the common denominator of z and (-3)\/11*(9 + (-232)\/72)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + 2*v**2)*(4*v - 6*v + v + (v - v - v)*(-1 + 3 + 2)).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 1164 = 2*d. Let a = 83 - 70. Calculate the remainder when d is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104*l - 3*l**2 + 4*l**2 + 10 + 24 + 27*l - 3*l**2 wrt l.\nAnswer: -4*l - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-14))\/22 + 776\/(-1144)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and (-5)\/2*(-3)\/(-63).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9 = -10*x - 121, -2*h = -2*x - 8. Which is the biggest value? (a) x (b) -2 (c) -5 (d) -6 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = -377 + 297. Sort 1, 0, z, 5, 8 in decreasing order.\nAnswer: 8, 5, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y, 18*s - 13*s = 2*y + 20288. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28025227052713 - 4\nAnswer: -3.71974772947287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/24)\/(2 - 1). Let j = 42 - 30. Let f be ((-15)\/(-9))\/(10\/j). What is the nearest to f in 3, 0, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348231194.\nAnswer: 2, 3967, 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5*x + 2 = 0, -51*x + 54*x = 3*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -45 + 115. What is the lowest common multiple of 8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 (base 11) in base 14?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*r = -0*i + 6, 5*i = -r - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (45*825\/5400)\/((-10)\/(-4))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-15) - (-26)\/10. Let a be (-43)\/(-15) + (-22)\/(-165). Suppose o + 5 = d, 0*d = d + a*o + c. Solve -6 = d*f + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12332780 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1000010 (base 2) to base 8\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229487239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40499 + -86646. Let x = z + 46175.029. Let t = x + 0.171. Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 45*h - 9*h**2 - 45*h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(-27)\/(-36) - (42210\/(-1400))\/67.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359034.134 rounded to the nearest one thousand?\nAnswer: -359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or -1\/5932?\nAnswer: -1\/5932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -308, 1\/2, -5, 0.4, 3, 2\/9.\nAnswer: -308, -5, -4, 2\/9, 0.4, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 20. Let n be -10*((-12)\/(-8) + 0). What is k(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 4 (b) -0.3 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2855 <= -19995\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 505, 490, 457, 400, 313, 190?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 1, o: 2, f: 2}. What is prob of sequence dbof?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 13*b. Let z(t) = -t**3 - 12*t. Give -4*f(q) + 5*z(q).\nAnswer: -q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -19*w**7\/105 - 13*w**5\/60 + 30*w**2. Find the third derivative of f(s) wrt s.\nAnswer: -912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - w + 2. Let c(n) = -n**2 + n - 1. Let y = 15 - 11. Calculate y*c(f) + 3*o(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 104*s\/7 - 1352\/7.\nAnswer: -2*(s + 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.36 and -5.06.\nAnswer: -22.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9243, 0, -1415 in increasing order.\nAnswer: -1415, 0, 9243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 1. Let u be r(1). Suppose -u*x - 4 = 0, 2*x - 80 + 4 = -4*z. Suppose 5*b = 7 + 18. Calculate the highest common factor of z and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a6252 (base 12) in base 13?\nAnswer: 3c273b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55500, -110535, -165102, -219201, -272832, -325995, -378690?\n\"Answer: 234*o**2 - 55737*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -768732122*a**2 + 98738*a - 1102 wrt a.\nAnswer: -1537464244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*26\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 76*b - 9074. Let h(u) = -2*u**2. What is f(h(r))?\nAnswer: -8*r**4 - 152*r**2 - 9074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixteenths of a day?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 38. Let h = -117.7204 - -0.1204. Let q = 118 + h. Which is the nearest to z? (a) 4 (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 42*t**3 - 30*t**2 + 341*t + 26. Is l(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 10*h + 13. Is i(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g = -15*g - 88 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed2b0b - -1?\nAnswer: -ed2b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -2\/7, -6353 in increasing order.\nAnswer: -6353, -32, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/2))\/o)**(-9)*(o\/o**(-2\/7)*o)\/(o\/(o*o**2\/o)))\/((((o\/o**(2\/13))\/o)\/o**(-8))\/(o**(-2\/7))**(-4\/27)) assuming o is positive.\nAnswer: o**(-44315\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyz when four letters picked without replacement from yynehzyey?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -355*m + 903. What is the tens digit of u(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-6 - -7))\/3. Suppose b = 3*z + k - 4562, 7594 = 5*z + 8*k - 11*k. Round z to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 + q**3 - 7*q - 3 + 2*q**2 - 23*q**2 + 7*q**2. Give s(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 1506300*s + 1506304.\nAnswer: -4*(s - 376576)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 10. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4038878 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p**2 - p**2 - 9*p - 7*p**2 to the form a*p**2 + m*p + k and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 7*u + 2. Calculate b(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256830734.\nAnswer: 2, 128415367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5639*h + 3347*h = -688*h + 9191*h + 1586865 for h.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -329*y + 334*y - w, -3*y + 3*w = -27. Solve 0 = -5*a + 9*a - 3*p + 12, 3*a - p + y = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 21, 32, 45, 60, 77?\n\"Answer: j**2 + 6*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggogmgm. What is prob of sequence ggmm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**6 + 83*a**3*d**2*k**2 - a**2*d**2*k**2 + 214*a**2*d**2*k - d*k**2 wrt a.\nAnswer: -720*a**3 + 498*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-42) + (-2)\/7. Let j = -6.9 - 1.1. Let c = 9 + j. What is the nearest to c in 3\/7, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 6 + 12. Suppose 5*f = f - 12. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + (49 - 47)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842381948.\nAnswer: 2, 19, 583367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g - 25. Let m be y(10). Let u = -70 + m. Solve 0 = 5*v + 20 + 5, 0 = 2*k + 3*v + u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 41*p + 20. Let z be y(7). Let t = z + -857. Let j = -5507\/10 - t. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z - 545. Does 46 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.09, 0.3, -0.2, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3917987, 3917983, 3917979, 3917975, 3917971, 3917967?\nAnswer: 3917963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84275*c - 84271*c + 252834*c + 0*c**3 - 84288*c - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942509601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143 - -143.1. Let s = 49 + -197\/4. Which is the second smallest value? (a) n (b) -3\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 18. Give p(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7557 divided by -69\nAnswer: -2519\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-910)\/(-450) - (238\/(-63) - -4).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**34\/t*t)\/(t**35*t*t*t))**48 assuming t is positive.\nAnswer: t**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:52 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -51*m + 9. What is the remainder when u(-2) is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7984 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 32061.\nAnswer: -7\/32061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 30 = -20*u + 16*u, 0 = 7*u - 8*h + 13*h + 53 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3396*t**4 + t**3 + 2*t**2 + 26863*t.\nAnswer: -40752*t**2 + 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814*t**2 + 766*t**2 - 1604*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, -1\/7, 3, -1.67 in descending order.\nAnswer: 3, -1\/7, -0.5, -1.67, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624 - 620 + 26*y + 2479 - 618 + 6*y - 615.\nAnswer: 32*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 29*q - 61. Calculate c(26).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c - c**2 - 203 + 2*c + 200 in the form t*c + u*c**2 + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -10 + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let q be -3 - 146\/(-39) - ((-131)\/(-13) + -10). What is the third smallest value in q, 0.4, -0.04, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 - 41*i**4\/6 + 167*i**3\/2 - 951*i**2. Factor f(w).\nAnswer: -(w - 3)*(w + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t + 14 = 0. Let v = 5 + t. Which is greater: -8\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(1 + (-12)\/(-9)). Let o be g\/14*8\/6. Let k = -0.5 + -4.5. Sort o, 5, k in decreasing order.\nAnswer: 5, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932666374 to the power of 1\/2, to the nearest integer?\nAnswer: 54154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 18*t - 3568. Calculate g(-50).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 32*u + 20. Give a(-30).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 16 + -11 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, -0.5, 0.054, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 774 and 15552?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808344, 808296, 808214, 808098, 807948, 807764?\nAnswer: 807546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from yfyfyfuuyffy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 68.\nAnswer: -5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8268978*x - 15089627?\nAnswer: -8268978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 9*w - 27. Let g be i(9). Let n = g + 37. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 17 + -113 + 60 + (-10 - 1 - -4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238999?\nAnswer: 3, 7, 106619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*u + 15, -4*n = -5 - 7. Suppose 4*p - 4*d - 216 = u, 3*d + 27 = p - 33. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*6 - (57 + -65))*23. Suppose -2*l = -5*l + 237. Suppose -5*q = 2*c - 21, -l = -3*c + 2*q - 0*q. What is the highest common factor of x and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839991*x - 143 + 143 - 111664*x.\nAnswer: -951655*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -3 (c) -3.84 (d) -2\/5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 1 - (-45 + 100 + -51)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 4530?\nAnswer: 4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 362 - 142 - 132 + 7*v**4 - 5*v**3 - 100 as o*v**2 + j + c*v**3 + h*v + w*v**4 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) 0.06 (c) 47339 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27410*z**3 - 986785*z**2\/2 - 2220435*z - 2025\/2.\nAnswer: -5*(z + 9)**2*(10964*z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77131*b**3*p**2 - 16*b**3*p - 2*b**2 + 41*p**3 + 9*p + 49 wrt p.\nAnswer: -154262*b**3 + 246*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 8.04. Let x = 9 + k. Let d(u) = -u**3 - 3*u**2 + 6*u + 6. Let q be d(-4). Which is the third biggest value? (a) x (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.59, -0.1, 0.1, 0, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*k**3 - 2 - 34*k**3 + 66*k**3 + 72*k**3 + (2 + 3 - 7)*(2*k - k**3 - 2*k).\nAnswer: 104*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.22763 and 4?\nAnswer: 39.22763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - x - 54 = -3*x, x - 22 = -2*h. Let a(i) = i**2 - 15*i - 16. Let s(c) = -c - 1. Let l(f) = -a(f) + 6*s(f). Let z be l(h). Solve z*j + 4 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -626*z - 36508. Calculate p(-58).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.14733?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-11195)\/10)*-4. Let i = t - -8085. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144746 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ett when three letters picked without replacement from itettttiiieettte.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10001011011100 (base 2) to base 14\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 21. Let m be y(-18). Let w(r) = r**2 + 6*r + 2. Let z(a) = a**2 + 6*a + 2. Let u(j) = m*w(j) - 4*z(j). Let k be u(-5). Solve -1 - 14 = k*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 2. Let s(f) = 10*f + 7. Suppose -3*n + p = 0, -5 = -n - 2*p + 2. Suppose 4*u - 3*o + 31 = 0, -2*u - 2*o + 3 = n. Calculate u*s(y) - 14*g(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 221, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(20\/(-104))\/(-5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {d: 3, q: 10, z: 4, l: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501644974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718004 is divided by 717981?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 5*b**2 - 4*b + 2. Let z be p(4). Suppose -3*u + 205 - z = 0. Let i = u - 38. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - t - 61 = 0, -5*l + 1036*t + 1028*t - 15 = 2059*t for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 - u + 4. Let h(v) = -22*v**2 - 2*v + 13. Let a(c) = 2*h(c) - 7*s(c). Let z be a(2). Let j = z - 35. What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -23\/45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18*u = 419745. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -3 (b) -0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 391294 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(7)*-5 + sqrt(7)).\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 157689.5905 to the nearest 100.\nAnswer: 157700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2813 + 2812. Let v be 12\/6*(3 + 1 - 2). What is the nearest to -85 in 2, f, v, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 113, 174, 237, 302, 369?\n\"Answer: k**2 + 56*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9*-74\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = a - j - 319, 35 = 3*a - 8*j + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 - -0.02. Let b = 0.1 - m. Let y = b + -0.40001. What is y rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313\/6 - -52. Let f = 12 + -15. Let d = -2.8 - f. Which is the nearest to d? (a) z (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2 + -2) - 2)*5. Put z, 4, -1\/4 in descending order.\nAnswer: 4, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*g + 3*j + 26, -4*j = 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103423 by -97.\nAnswer: 103423\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8192791681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390 by -26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 28 = 16*n. Sort n, -4, 2 in increasing order.\nAnswer: -4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -625, -1249, -1871, -2491, -3109?\n\"Answer: g**2 - 627*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337 + -317 + 2 + 0 + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3532*g + 63. Is m(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/103 or -2\/13?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243255557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 9*n**2 - 5*n + 8. Let s be l(2). What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65379.46 litres to millilitres.\nAnswer: 65379460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -195, -198, -203, -210?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Let r(c) = -2*c**3 + 17*c**2 - 3 + 22*c**2 + 2*c - 34*c**2. Let w(t) = -2*g(t) - r(t). Solve w(z) = 0 for z.\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2850 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -18*z**3 - 2*z**2 - 2*z - 1. Let q be (-6)\/(-45) - (-255)\/(-225). Give c(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1095*r**3 - 503*r**2 + 339484*r?\nAnswer: 6570*r - 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 497427 and 660.\nAnswer: 328301820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6419647 millilitres in litres?\nAnswer: 0.0006419647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, 6\/7, -1\/3 in descending order.\nAnswer: 262, 6\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2123 + -34?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -84, -123, -160, -195, -228, -259?\n\"Answer: v**2 - 44*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 2 - 6) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nss when three letters picked without replacement from {n: 2, s: 2, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllululu. Give prob of sequence ull.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.1 plus 6967?\nAnswer: 6942.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.954 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8683931361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 5:42 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 236767136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0 + 35*w - 7\/24*w**3 + 0*w**2 + 1\/6*w**4 - 1\/80*w**5. Let a(y) = 0. Calculate y.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -19. What is the units digit of 339\/9 - f\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/175*6\/(-9)*-3. What is the second smallest value in -1, 121, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424546 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2612541235237125*r**4\/7 + 746405178501225*r**3 - 492434196255*r**2\/7 + 15470109*r\/7 - 162\/7.\nAnswer: 3*(r + 2)*(95495*r - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -71, -3\/4, -17, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.2814 times -17.808\nAnswer: 129.6671712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 - 54 = 58*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:22 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 4. Let v be 630001\/(-3) - b\/(-3). What is v rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d + 3. Let n(a) = -29*a - 10. Let v(g) = -7*c(g) - 2*n(g). Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*g + 1 = -308*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -p - z, -2*p + 5*z = -3. What is the common denominator of -77\/24 and (p\/672)\/((-1)\/38)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + -0.65. Let q(j) = -j**2 - 12*j. Let f be q(-10). Let w be f\/(-15)*(-1)\/2. Which is the closest to -2? (a) 5 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7284)\/((-10)\/5) + 1 + -6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2477, 1722, 463, -1300, -3567?\nAnswer: -6338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-15)*-10*1\/1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 12. Suppose -b*q + 120 = 3*q. 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: What is the remainder when 10154 is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 954 and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**4*t - 592360*a**3*t**3 - 228246*t**3 wrt a.\nAnswer: -8*a**3*t - 1777080*a**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 2\/5 (c) -163 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + i + 31, 5*s + 833*i = 838*i + 90. Solve -3*d - b - s = 0, -4*d - 2*b + 35 = 51 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63580608 and 145560.\nAnswer: 317903040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b62b (base 13) to base 16.\nAnswer: d213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*w**5 - 18*w**5 + 33*w**5 + (-2*w**3 - 4*w**3 - 2*w**3)*(-w**2 - w**2 - w**2 - 3*w**2 + 0 + 0 + (0*w - 2*w + w)*(-1 + 1 + w)).\nAnswer: 99*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**12*(q**1*q)**34)\/(q**6\/q**(-6))**(-1\/2) assuming q is positive.\nAnswer: q**(494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 14.9304. What is k rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 1\/11 (c) 3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -96*q - 406. Give m(-2).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 2409557574*y - 2409557574*y.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*t - 3. Let w(d) = -13*d + 72. Let u be w(5). What are the prime factors of 31 - (u - 4)*t\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b + 20. Suppose -2*h = 4*y - b, -3*y - 6 = -3*h - 6*y. Let t be 18*2\/(-6)*2\/4. Are h and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 - 14)*(26*k**3 + 13*k**3 - 12*k**3).\nAnswer: -459*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*(4*r + 0*r - 3*r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29747 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.88 - -42\nAnswer: 43.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -246.5 and 0.09?\nAnswer: -22.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 1.7. Let u = -0.7 - q. Let m = 0.1 + -0.1. Which is the second biggest value? (a) m (b) u (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1606512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 116562*u**3 + 1509672168*u**2 - 6518261119662*u + 6516751564053.\nAnswer: 3*(u - 12951)**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 20. Suppose 4*b + 1 = -y - x, 0 = -2*y - 2*b - 6. Let j be 0*(0 - -1) - y. Solve 4*k - 5*a + 1 = 0, a + 5 = k - j*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18220*w**2 - 2*w + 2*w + 17075*w**2.\nAnswer: -1145*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 + 21*c**2 + 6*c**5 + 39*c**2 + 30*c**4 + 20*c + 65*c**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 42, 1\/8, 473, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270146582?\nAnswer: 2, 135073291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6147410824?\nAnswer: 2, 2897, 265249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 13) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 53547.1 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 357350 plus 4?\nAnswer: 357354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320.609mm in kilometers?\nAnswer: 0.004320609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6 = 2*t, -6*b + 15 = 5*t + 6*b - 10*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569227 is divided by 2181?\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 + 43826*z\/5 - 1793504\/5 = 0.\nAnswer: 41, 21872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -84*n**2 + 5*n - 14. Let p be o(2). Which is bigger: p or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-26)*3\/189*-4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6*a - 10. Suppose 5*i - 25 = -2*n, i + 2*i - 16 = -n. What is the tens digit of 224\/i + 2\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.301 - -0.371. Let x be (9\/27)\/(10\/(-12)). Let k = 3.12 + -3.62. Put v, x, k in ascending order.\nAnswer: k, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/198*((-18)\/(-8))\/(-1)*-6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17696 divided by -28.\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2. Let l(q) = -26*q + 4. Let p(v) = -936*v + 143. Let a(w) = 143*l(w) - 4*p(w). Calculate a(h(b)).\nAnswer: -104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 20172*v + 302546. Calculate c(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 86. Calculate the remainder when f is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52180 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*a + 14, -2*m - 4*a - 1 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -746338*o**4 - 4*o**2 + 21345*o + 6 wrt o?\nAnswer: -17912112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 - 2. Let o(s) = -38*s. Determine f(o(z)).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*r + 10*r = 0, 3*n - 2*r = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.71 + -5.7. Which is the nearest to -2\/7? (a) -5 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 997737832 to the nearest integer?\nAnswer: 31587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - 3*v)*(-2*v**2 + 0*v**2 + 4*v**2) + 20*v**3 + 16*v**3 + 49*v**3 + v**3 - 6 + 6 - 20*v + 20*v - 7*v**3.\nAnswer: 77*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x**2 - x - 1. Suppose 0 = -4*j + i + 53, 4*j - 35 = -2*i + 15. What is the remainder when y(-1) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) + 0 + 3\/6. Let t = -0.39 - -3.49. Let x = t + -3. What is the second biggest value in x, -1\/6, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.64 (b) -1.6 (c) -0.4 (d) -467 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1285*s - 6923*s.\nAnswer: -5638*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - 1 - (4 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (-46)\/(-1242)*-126.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -5 (c) -512 (d) -623.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5652 by -628.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279200 by -69800.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/25, -0.09, 5, 0.2, 8844?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -1049*t**4\/12 - 95*t**2 - 1. Let q(d) = -3*d. What is q(g(a))?\nAnswer: 6294*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5, b + 2*v + 0 = -11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3117 is divided by 670?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0) + 21\/((-105)\/20). What is the units digit of q + (-26)\/(-10) + (-34)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 420 = 80. Let c be 0 + o\/(-4755)*(-2)\/10. Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-115)\/(-10))*-6. Suppose -5*p + 121 = d. Let z = 27 - p. What is the common denominator of z and -56\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3))**48)**(-2\/21) assuming q is positive.\nAnswer: q**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 673, 679, 695, 727, 781, 863, 979, 1135?\n\"Answer: x**3 - x**2 + 2*x + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10200000 (base 3) to base 2\nAnswer: -101001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*n = -3*z - 272*n + 104, -4*n + n = 5*z - 85 - 20 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39170 by -3.\nAnswer: -39170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*p = 27*p - 726 - 338 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2574532 by 1.\nAnswer: 2574532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 - 4*u**2 - 6*u**2 - 4*u**6 wrt u?\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*g**4 - 3771*f**3*g**3 + 5*f**3 - f**2*g - 2*f**2 + 71*g**2 wrt g.\nAnswer: -24*f**3*g - 22626*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 901451249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043645720.2 rounded to the nearest 100000?\nAnswer: 2043600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*l + 302*l = 2584 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3 + 411*i**2 - 12438*i + 60480 = 0.\nAnswer: 6, 35, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from hhhhehhhhhhh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttkttttkkkttt. What is prob of picking 2 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257488*n**5 + 38467409*n?\nAnswer: -5149760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-9)\/3)\/1. What is the highest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 18*h - 57. Let s be j(-10). List the prime factors of (7 - (2 + 3))*s\/(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333.23 take away 14089234?\nAnswer: -14091567.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 16*r**5\/7 - 23132*r**4 - 159821456*r**3\/7 + 360175052*r**2\/7 - 240238120*r\/7 + 40046432\/7 = 0.\nAnswer: -908, 1\/4, 1, 11026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18452744831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 at most 894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 4. Suppose -u = -3*a + 23, -2*u = -a - 3*u + d. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:07 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*v**(-3\/5)*v*v)\/v)\/v)\/v)**(-41\/4))**(8\/9) assuming v is positive.\nAnswer: v**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(2100)*1)\/(6*(sqrt(700) - sqrt(700)*-1) + sqrt(700) - sqrt(700)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 7. Calculate the remainder when j(-5) is divided by 3 + 34\/(-14) - 22412\/(-3017).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230.46 - -248.4614. Let m = t - 18. Round m to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -3\/7, -3\/4, -1\/261?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m - 28 = 0. Suppose -3*d = d + 12. Let y = d - m. Solve 5*s + 15 = 4*o, 5*o = -4*s - y - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3868, -3872, -3876, -3880?\n\"Answer: -4*x - 3864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 1205*s - 34014. Give u(29).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3\/2*z - 3\/2 - 3\/2*z**3 + 3\/2*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.055.\nAnswer: 0.00385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + r**2 - 2*r + 7. Calculate the remainder when z(-4) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1561 times -0.027\nAnswer: 0.0042147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3\/6 + z**2\/4 + 8. Factor p(b).\nAnswer: b*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4463496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -824*c - 888. Determine q(-1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x\/(x\/(x*(x\/(x**(-7)*x))\/x))*x*x**(-1\/2)*x*x**(-3))**(6\/11) assuming x is positive.\nAnswer: x**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 8*v - 5. Let o be n(9). Suppose 7 = f - 0*c - c, 0 = o*f + 3*c. Suppose 16 = f*j + j. Sort -2\/9, 0.06, j.\nAnswer: -2\/9, 0.06, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1471.90932s to weeks.\nAnswer: 0.0024337125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.003283 + 43905293\nAnswer: 43905292.996717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7056, 6766, 6438, 6072, 5668, 5226?\nAnswer: 4746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:14 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*2 - sqrt(126)) + sqrt(686)*-1)\/(3*(2*sqrt(7)*2 - sqrt(7))*-5).\nAnswer: 4*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 + 0.06. Let j = y + 0.13. What is the third biggest value in j, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 6*o - o)*(-3*o + 4*o - 3*o) + 1644581*o + 433 - 162 - 1644580*o - 2*o**2.\nAnswer: -6*o**2 + o + 271","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1815)\/(-63) + (17728\/11080)\/((-34)\/10 + 2).\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 49*v + 141. Calculate the smallest common multiple of q(37) and 28.\nAnswer: 14924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(152)*2 + -4*2*sqrt(152))*2*-6)\/((1*sqrt(64)*-2)\/(-6*sqrt(32)\/sqrt(4))))**2.\nAnswer: 886464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(5) + -2)*2 + -3).\nAnswer: -42 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {c: 1, b: 1, a: 4, k: 2, s: 3, p: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 697*r + 13941. Calculate l(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5 + 1 + 61*k**4 + 8*k**2 - 65*k**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 4*v - 13. Let d(f) = f**2 - 4*f - 13. Let a(w) = -4*d(w) + 5*y(w). Let n be a(9). Solve -2*o = 5*x + 2*o - n, x = 4*o - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1875378 and 41258316?\nAnswer: 41258316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10463, -10427, -10369, -10289, -10187, -10063, -9917?\nAnswer: -9749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -5*h**2 - h - 3. Calculate the remainder when f(-3) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -8 - (41 - -14 - 27).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**4 + 20*k**3 + 5*k**2 - 12*k + 2081?\nAnswer: 96*k**2 + 120*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (166 - 166 + 7*y)*(270 - 591 + 191) + 4*y - 3*y + 5*y to i + x*y and give x.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2598)\/98724)\/((-9)\/57).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-1\/7)*j))\/j)\/j)\/j*j*j**(-2\/5))\/((j**1*j)\/j)**(-36) assuming j is positive.\nAnswer: j**(1146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 11. Suppose y*s = 13*s - 270. Suppose -38*k + 33*k + s = 0. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from huhahwhpbbhhuhh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -659 divided by -189\nAnswer: 659\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 12. Let z be j(-8). Is ((-4)\/z)\/(291\/147 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*d = 24. Let c be 0 - (5 - (5 - -4)). Calculate the highest common divisor of c and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 11*j + 13. Let z be i(6). Differentiate 21 + z - 22 + 22*p**2 wrt p.\nAnswer: 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - 3*m**2 - m - 8. Let l(g) = 4*g**3 + 2*g**2 + 2*g + 7. Let i(a) = 2*l(a) + 3*o(a). What are the prime factors of i(-8)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s + 1. Suppose -9 = -2*g - 5*q, -g + 3*g = 4*q. Suppose -21 = -m - d + g, 2*d = 3*m - 64. Calculate the remainder when m is divided by t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2448) + (sqrt(2448) + sqrt(2448) + 1 + 2 - sqrt(2448))))**2.\nAnswer: 2304*sqrt(17) + 156816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, g: 5, d: 3, m: 3, o: 2}. What is prob of picking 1 d and 3 m?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylyiiiilyliiliyi. What is prob of sequence yl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l*p**3*y - 1264*l*p**2*y + l*p**2 + l*p*y + 17311*l*y**2 + 2*l*y + 19*p**3*y**2 + 2*p**3*y wrt y?\nAnswer: 34622*l + 38*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6235.7 - -6236. What is the closest to 15 in -0.4, 2, x, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**11*f*f\/((f\/f**(-1\/4))\/f))\/(f**(-1\/8))**(-13\/7) assuming f is positive.\nAnswer: f**(757\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - -0.77. What is c rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 - 11*c + 7. Let m be g(-4). Suppose -3*f + 5 + 10 = 0. Suppose m*r = -9, 22 = a - 2*a - f*r. Is a < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.401 times 14?\nAnswer: -1125.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/9 - 7\/18. Let o be (1*2\/9)\/((-10)\/(-12975)). Let q = -289 + o. What is the closest to 0 in g, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/231, 5, -1, 170, 1, -0.5, 4 in ascending order.\nAnswer: -1, -0.5, -4\/231, 1, 4, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 5:44 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -29. Suppose 4*h - q*h - 3*y + 20 = 0, -2*y = 2*h - 12. Suppose 0 = 2*s - h*n - 112, s - n = 3*s - 103. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -24 (c) 3 (d) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/18697002 and 91\/1087035.\nAnswer: 93485010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2865 + 242?\nAnswer: -2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*b - 93. Let i(d) = d + 142. What are the prime factors of i(b)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 196573 = -46085. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 + 62 - 85)*(13*b - 7*b - 8*b)*(-2*b**2 - 5 + 5) in the form s*b**3 + a + h*b**2 + y*b and give s.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 448*j = -445*j - 1, 18 = 2*i + 4*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2564 divided by -26670.\nAnswer: -1282\/13335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 1582*z + 35863. What is k(1559)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211173 is divided by 93.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*l*m**2 - 10*j**2*l*m + 2*j**2*m + 2*j*l*m**3 + 2*l*m - 2*m**3 wrt m?\nAnswer: -6*j**2*l + 12*j*l*m - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533357.3 days to nanoseconds.\nAnswer: 46082070720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011212 + 21120?\nAnswer: 2110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268799 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/(-20))\/(4\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 29737*f. Let v(o) = -4*o**2 - 23. Determine l(v(k)).\nAnswer: -118948*k**2 - 683951","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -85, -129, -173, -217?\n\"Answer: -44*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66250 - -110672. List the prime factors of c.\nAnswer: 2, 7, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10198437 - 10225673.063. Let n = -27273 - p. Let h = n - -37. What is h rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.4. Let j = -0.04 - 1.96. Let g = -2 - j. Which is the third biggest value? (a) n (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 2*g + 4*g)*(3 - 2 + 1) - 2*g - 13*g - 7*g to the form h*g + o and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1733, 1748, 1759, 1766, 1769, 1768?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -68*b**3 - 79*b**2 + 5. Let i(k) = -69*k**3 - 79*k**2 + 4. Let g(a) = -5*i(a) + 4*r(a). Find the third derivative of g(h) wrt h.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**18*t*t\/t**(-30)*(t\/(t*t**(-16)))**(-11\/4) assuming t is positive.\nAnswer: t**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 125 + 235)*(g**3 + 6*g**3 - 4*g**3).\nAnswer: 1014*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 2*k**2 + 2*k**2)*(-31*k**2 + 915 - 480 - 431).\nAnswer: 31*k**4 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 41. Let x be t(15). Let r(c) = 1 + c**3 + 3 - 3*c - 6 + 3*c**2. Give r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/30 + d**2. Let s(w) = 22*w**2 - 10*w + 10. Let j(r) = 7*r**2 - 3*r + 3. Let q(k) = 10*j(k) - 3*s(k). Determine b(q(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684087754.\nAnswer: 2, 7, 48863411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.0909 - 1.9909. Sort x, 4, 13, 2.\nAnswer: x, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = 0, -4*x + 4*u + 20 = -0*x. Let o(h) = h**2 - x*h**2 + 0*h**2 + 0*h**2. Let c(r) = -23 + 17 + 6 + 5*r**2. Give c(o(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 190399457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 25. Suppose 5*r = m + 17, -3*r - m - 6 = -21. Let j = 9 - r. What is the remainder when q is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17108 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.9*14.\nAnswer: 1328.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -596, 3 in increasing order.\nAnswer: -596, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 163102 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bth when three letters picked without replacement from hbcbccctccccct.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 9:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/112707 and 46\/12621.\nAnswer: 67736907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, -128, -32, -1 in descending order.\nAnswer: 1, -1, -16, -32, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(82*m**3 - 2*m + 70*m**2 + 497*m**3 - 2 - 582*m**3).\nAnswer: 6*m**3 - 140*m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -161*u + 2426. What is i(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17212 divided by 6.\nAnswer: 8606\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 0*g**4 + 3*g**4)*(18 + 127 + 44).\nAnswer: -189*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 68419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 1:48 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-147)\/84*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145691?\nAnswer: 7, 13, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/((g**(-2\/5)*g*g)\/g))\/(g\/g**(-1))**(8\/11)*((g**(2\/9)\/g)\/g)**37*g*g\/(g\/g**(-7))*g*g*g*g**(1\/2)\/g*g*g assuming g is positive.\nAnswer: g**(-68243\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605030 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -759, -1020, -1191, -1266, -1239, -1104?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.011? (a) -4 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 3030469378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 20 = v, -33746*v + 83 = -33718*v - 3*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**3*m**3 + c**3*m*n**2 + 77*c**2*m**3*n**2 - 59*c*m*n - 7*m*n**2 wrt m?\nAnswer: 48*c**3*m + 462*c**2*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*h = 412*h - 181152. Calculate the highest common factor of h and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -29, 12 in descending order.\nAnswer: 42, 12, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 9. Calculate n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320.64395 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.306 and -3741.\nAnswer: -3740.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4 + 2*w**3 + 1 + 5*w + 4 + 6*w**2 - 3*w**3. Let q be (-14)\/4 - -3 - 74\/(-4). Suppose 2*t - 10 = 2*f, -3*f - 2*f = -4*t + q. Calculate u(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 412324 + -240647. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 76. What is the remainder when h is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -336*d**2 + 77279*d + 672. Give k(230).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) 0 (c) 2\/3 (d) -2 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13125072?\nAnswer: 2, 3, 271, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21107)\/10*(-8)\/28. Let g = d + -603. What is the second biggest value in -1\/3, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216 + -217. Which is smaller: v or -12\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 + 416*d + 111 + 139 - 348 in the form s + n*d and give n.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -4*c + 40. Suppose -9 = -c*d + 11. Solve d*z + 0*z - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkrqmtq. Give prob of picking 1 v and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2396\/(-5990))\/((-98)\/(-10))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/(sqrt(7) - sqrt(63)))\/(-5*sqrt(225)))**2.\nAnswer: 1\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/141 in 1, 102\/19, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1418\/3 - 470. Let a(c) be the first derivative of 0*c + 17 - r*c**3 - 4*c**2. What is the second derivative of a(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -39*h**3 + h**2 + 3*h + 3. Let p be f(-2). Let k = p + -605\/2. Let u = k - 10. Which is the third smallest value? (a) 2\/15 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/24)\/(-6 + (-37)\/(-6))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-20 + 42 - 37)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 - s - 4. Suppose 6*j - 3*j = -54. Let h be j\/27*(1 + -10). Let l be w(h). Is -10 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157 - 130 - (0 - -39).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 448*m - 409. Is h(93) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + sqrt(19)*2 + sqrt(19)) + sqrt(76)\/sqrt(64).\nAnswer: -79*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r + 104 = v, -2*v = -5*r - 215. Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 3, t: 1, z: 3, w: 3}. What is prob of sequence iw?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19.5. Which is the nearest to -10? (a) w (b) -6\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004719 = 207*k - 2728822. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 + 452 + 12 + -13.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*u + 39 = -3*w, -2*w = 5*u - 80. What is the smallest common multiple of 266\/56 + (-4)\/(-1) + 5\/4 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-300)\/40)\/((-1)\/116).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -408 at least -410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -997 + 1902. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58773838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -148. Suppose -15 - 1 = -q*n + 3*s, -2*s = -n - 1. Sort -1, 1, 4, n.\nAnswer: -1, 1, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i. Let p(l) = -6*l + 4*l - 11*l. Give 8*a(u) - 3*p(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 8. Is n greater than or equal to 11\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42200 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(1*sqrt(28)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j - 455 = -4125 + 970 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w + 6. Let i be g(0). Let o be 1 + (-3 - -1 - (-15 - -12)). Suppose -o*c - c = i. Put 4, -1, c in increasing order.\nAnswer: c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 39*o + 29 + (4 + 3 - 5)*(4*o - o - o) + 2*o - 2*o - 2*o)*(4*o - 4*o - 6*o).\nAnswer: 222*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253*g - 2372*g = -2023 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - 31*k + 288. Calculate b(7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 38 = 45 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/4 + 246035*v**3\/4 - 6149000*v**2 + 153709375*v = 0. Calculate v.\nAnswer: 0, 50, 245935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) -0.5 (c) 2\/19 (d) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 2 o when four letters picked without replacement from {b: 1, o: 4, f: 2, p: 7, g: 3}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 48 + 36. Solve z = 3*n - 3*p, -4*p - p = 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 95 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -33*v + 9. Let m be u(6). Suppose -3*g = k + 280, -5*g - 2*k - 7 = 459. Let r = g - m. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*h = 614*h + 9942. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose -i + 3*h = -739, -5*h + 3*h = s*i - 2239. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - m. Suppose q - 5 = 2*f, 5*f = 2*q - 0*f - 11. Let v(k) be the second derivative of -5*k**4\/12 + k**3\/3 + 10*k. Determine q*v(b) + 4*w(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65793903 to the nearest integer?\nAnswer: 8111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*((sqrt(833) - (sqrt(833) + -3 + sqrt(833)) - sqrt(833)) + 4 - (3*sqrt(17) + 5 + -1)))**2.\nAnswer: -1224*sqrt(17) + 78689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3 = -47053*t + 47051*t + 3*c - 3, 13*c = 2*t + 126 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*f - 48*f + 23*f**2)*(f**3 + 3*f**3 - 3*f**3) - 6*f**3 + f**5 + 6*f**3.\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 85 = -44. What is the least common multiple of (-4)\/12 + w\/(-9) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 27. Let o be s(-14). Let b(d) = d**2 + 4*d - 3. Let w be b(o). Solve 6*h**w + 11 - 39 + 35*h + 16*h - 13*h = 0.\nAnswer: -7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 18 = -3*h. Let c(t) = -t. Let o(m) = 2*m + 13. Let x(j) = -3*c(j) - o(j). Let g be x(h). Calculate the greatest common divisor of 20 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219034 smaller than 1219063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.2 - 9.1331. What is o rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*m = 0, 14 = q - 5*m - 5. Suppose -h + 0 = -3. Suppose -4*d = -h*j + 15, 3*d + 5 = -3*j - 1. Solve -q*p = j - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1836 and 4884899.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 + -0.05.\nAnswer: -303.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/3150*140*(-9)\/(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, -3379 in descending order.\nAnswer: 3, -1\/2, -3379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 15*y. Let p be 9\/(-18)*(1 + 39). Let b = p + 5. Let j be m(b). Which is smaller: j or 1\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(1 - (16 + 0)). Let w be (-7)\/(-14) - (-11)\/(-2). Let a(n) = -10*n + 4. Let c be a(w). What is the highest common divisor of c and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*v = -6*n + 86, 0 = 3*n - 2*v - 63. Let h be 12\/1 - (2222 + -2206). What is the closest to 1 in n, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13139*v - 7718?\nAnswer: -13139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.574582 litres to millilitres.\nAnswer: 5574.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 462 + -455. Suppose 0 = b*a - 13472 + 67. Round a to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2159408352183 - -348\nAnswer: -2159408351835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (71 - (-4)\/((-16)\/(-12))). Suppose -16 = -5*r + p. Solve 3*d - n + 15 = 0, 4*n - r = 4*d + 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 - g - 3. Suppose 0 = -2*w - 0*s + 2*s - 20, -w + 4*s = 25. Let f be h(w). Solve 2*j = -f*a, 2*j + j - 40 = 5*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 90. Let o be s(30). Suppose 5*w - 5*k - 571 = -236, 2*w = -2*k + o. Calculate the remainder when w is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3, -2*h - 13*f = -20*f - 9205. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 - d + 7. Let b be u(6). Suppose 9*y - 900 = 351. Let a = -134 + y. Sort 0, b, a in ascending order.\nAnswer: 0, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = 20*y - 94. Solve 4 = y*k, -1 = w - k + 2*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - 7*l**2\/2 + 5*l - 478. What is u(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 117*u + 25. Let f be t(-5). Calculate the common denominator of 0 + f\/(-72) + (-2)\/6 and (0 - 4\/9) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 1\/42*j**7 + 0*j**4 - 1\/12*j**5 + 0*j**3 + 0*j + 0 - 5\/168*j**8 + 1\/12*j**6 + 29*j**2. Let w(l) = 0. What is l?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69495 weeks in hours?\nAnswer: 116.7516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -4, -91, -233, -3, 2 in descending order.\nAnswer: 2, -3, -4, -15, -91, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 3a0a1?\nAnswer: 3a098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 533614*v**2 - 5129*v + 62 wrt v.\nAnswer: 1067228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1929250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100242332.\nAnswer: 2, 293, 85531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28 - 0.08. Let b = 3 - 7. What is the second smallest value in k, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7322180 and 14?\nAnswer: 51255260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1\/6, 3, -17, 14, 1\/9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 4*p - 5*p)*(1 - 4 + 0) + (-4 + 5 - 3)*(-5*p - 8 + 8) as r*p + n and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayjrr. What is prob of sequence yr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3\/10*i**5 + 1\/4*i**6 + 0*i**2 - 1\/2*i**3 - 1 - 3\/8*i**4 + 0*i. Factor v(j).\nAnswer: 3*j**2*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -14*s**3 + 24*s**2 + 19*s + 8. Let u(t) = 11*t**3 - 21*t**2 - 17*t - 7. Let v(c) = -4*a(c) - 5*u(c). Calculate v(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.016306 + 0.6.\nAnswer: 0.583694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15\/13, 1\/3, -23?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -f + 38. Let z be (1 - (-1 + 0)) + -5. Let b = z + 17. Calculate the highest common divisor of f and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -724 + 726. Suppose -u*k - 4*n = -42, 0 = -3*k - n + 3*n + 31. Let p be (-1)\/3 - 1\/(-3). Sort -4, k, p in ascending order.\nAnswer: -4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106463 + -1237.81.\nAnswer: 105225.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 (base 11) in base 12?\nAnswer: 184a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 680990489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805176 and 954.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -511099903*b**2 - 887760*b + 8.\nAnswer: -1022199806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 1918*g**2 + 23091952*g\/7 - 1867041320\/7.\nAnswer: 2*(g - 3314)**2*(g - 85)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 2, p: 1, l: 2, f: 1}. Give prob of sequence yf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 3 + 3*l - 3*l. Let m be j(5). Let t(i) = 85 + i**m - 85. Let g(q) = 6*q**2. What is t(g(c))?\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 8. Let i be (2\/6)\/((-12)\/h). Let o be 14\/2 - ((-20)\/(-30) - (-4 + -2)). What is the nearest to o in 8, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.5 (c) -16.9 (d) 590\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.40773 decades in millennia?\nAnswer: 0.4640773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 7*m**6\/360 + 3*m**3\/2 - 17*m. Let t(i) be the second derivative of f(i). Let c(b) = 13*b**2. Give c(t(d)).\nAnswer: 637*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = 2*z - 95, 3*o - 4*z - 34 = 0. Suppose -14*k = -o*k - 656. Let n = -816\/5 - k. Put n, 0.3, -1\/5 in decreasing order.\nAnswer: n, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = -2*w, 2*w - 5*z - 4 = 26. Suppose -9 = 4*v + w. Is 5 a factor of (4\/v)\/((-2)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 121*p = 116*p - 344*p + 108*p + 36, -3*p + 24 = -3*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 2*w + 1. Let q be s(-2). Is 3\/((-126)\/24) + (-2783)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/96*6*(-4)\/(-6). What is the nearest to 2 in 0.5, k, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -133*u + 188*u - 3328105. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/60 - 23*f**4\/24 + 107*f**3\/6 + 156*f**2. What is the remainder when 3\/((-3)\/(-2))*41 is divided by w(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 t when three letters picked without replacement from tddtddddttdtt.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -1522, 4, 1, -1, -2, 10 in increasing order.\nAnswer: -1522, -33, -2, -1, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16798 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -64*l**3\/3 - 2*l - 910. Let q(m) = -4*m**2. What is v(q(t))?\nAnswer: -1024*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Suppose -4*l = -r + 21. Let b be l\/(3\/9*-2). Solve 1 = u + b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imhimuuuzhhmhhhhiih. What is prob of picking 3 u?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/13 + 227\/91. Let i = 72 + -67. What is the closest to 1\/2 in 2, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 6*y + 1. Let q = -10 - -13. Let j be u(q). Let c(w) = 6*w - 13. What is the tens digit of c(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229516301*c*n**2 - 6*c*n - 12648*c + 6*n - 32 wrt n.\nAnswer: 459032602*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 914, 2, 0, 5, -1, -2 in ascending order.\nAnswer: -2, -1, 0, 2, 5, 34, 914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((2 - 1) + (0 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(-18)\/(-1656)*((-8636)\/1)\/(-17).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -22. Let z be (22 + t)\/((-198)\/(-76)). Let b = z - 120\/11. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237044832*n**2*t**3 + 5339*n**2*t**2 - 1876*t**2 wrt t?\nAnswer: 1422268992*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15 + 8*u - u + 11*u**2 - 2*u**2 - u**4 + 7. Let t(r) = -r**2 - r + 1. Let g(m) = -2*a(m) - 14*t(m). Find l, given that g(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 o when three letters picked without replacement from coaoycd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 5*n**3 + 3*n**3 - 1 - 78*n**3 + 410*n**2 - 408*n**2 - 322*n**3 - 2*n + 2*n - n**3 + (0*n + 0*n - 2*n)*(n**2 - 3*n**2 + 0*n**2).\nAnswer: -396*n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)*c*(c*c**(-1))\/c)**(-1\/2)*(c**(-1\/2))**25*c**(-4\/7)*c*(c\/c**6)\/c assuming c is positive.\nAnswer: c**(-2797\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/357 and -25\/102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -27, -0.2, 1.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 30. Let g = 32 + -32. Suppose y - 57 + 10 = g. What is the remainder when y is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 34 - 13 + 8 - p.\nAnswer: -p - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -177 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283236 rounded to the nearest one hundred?\nAnswer: 283200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4193968 is divided by 164?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 1.2. Let k = d - -0.6. What is the biggest value in k, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/219*-5*11*(-24)\/(-660).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/120 - 5*o**4\/48 + 2*o**2 + 10. Factor v(h).\nAnswer: h*(h - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (0 + sqrt(7))**2 + sqrt(7) + 3).\nAnswer: 6*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 9 - 25. Let l(q) = -q**2 + q - 1. Let f be l(0). Is (f*5)\/(y\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 23*t**4\/12 - 6*t. Let x(j) = -j**2. Determine x(l(a)).\nAnswer: -529*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -161, -306, -499, -734, -1005, -1306, -1631?\nAnswer: -1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6634 = -g + 1748, -3*r + 3662 = -2*g. Is 48 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 11*p + 7. Let l be j(-8). Let c = l + 22. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904138870 to the power of 1\/3, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.034? (a) -0.1 (b) -0.05 (c) -5 (d) 17 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-60)\/12466). Let k = -351\/5 + n. Find the common denominator of k and (-15)\/110*(-5)\/(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 374 - 331. Solve -2*f + 5*v = -28 + p, v - 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 + -127. Round m to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22180113.\nAnswer: 3, 2464457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48512*c + 96240*c - 48530*c.\nAnswer: -802*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 14}. What is prob of picking 2 e?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*i = 233, 5*i = u + i + 65. Let m = -47 - u. Factor -6\/17*w + 36\/17 + 2\/17*w**3 - 8\/17*w**m.\nAnswer: 2*(w - 3)**2*(w + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178746 (base 9) to base 4.\nAnswer: -123030321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 78 - 18 = 0. Let i be o\/(-70) - (-3)\/15. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-13)\/2 - -3). Let h = z - -41. Calculate the greatest common factor of h and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000474836 to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 1.0528, 4, 8, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**2 - 80*m**6 + 17*m**6 + 20*m**6 + 5*m**2 wrt m.\nAnswer: -5160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - ((1 - 3) + 2)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*k - 5, 0 = -t - 3*k + 1 - 10. What is the closest to t in 0.1, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/3 + 42*h**2 + 682*h + 1922\/3 = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -214248*q. Let w(y) = 219*y**2. Calculate s(w(p)).\nAnswer: -46920312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2437 = -3*c + 4*u, -2*u + 207 + 622 = c. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22119 + -22095. Let w(q) = 2*q**2 - 45*q - 67. What is w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537 divided by 179.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -89. Let k be (-2)\/y*1110\/60. Suppose -k*r + 35*r = -166. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - r + 8 - 1 = 0, 0 = -t - 5*r + 27. Factor 24*s**3 + 30 - 6*s**3 - 8*s**3 - 55*s - 5*s**3 + 4*s**t + 16*s**2.\nAnswer: 5*(s - 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 334025 - -14?\nAnswer: 334040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - a = 12*l + 57*a + 464, 5*l + 24*a = 23*a - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -h + 1199, -3594 = 2*h - 5*h - 5*p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Solve -3*a + q = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -537 - -955. Let p = x - 187. Suppose 3*z = p + 252. What are the prime factors of z?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 = 29*w + 494 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8687924.409 less than -29422?\nAnswer: 8658502.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-14)\/448*-16)\/(1*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 26*q + 6*q**2 + 28*q - 54*q. Let j(w) = w. Give j(g(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + -2.01.\nAnswer: 5.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:58 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 2 - 2 - 2*w + w + 3*w + (3 - 2 - 2)*(912 - 912 + 9*w) to the form i + u*w and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4\/5 + 106*w**3\/15 + 166*w**2\/15 - 424*w\/15 - 472\/15 = 0. Calculate w.\nAnswer: -2, -1, 2, 59\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -3*b + 4, 3*b - 18 = -3*j. Put -5, 0, j, 5 in increasing order.\nAnswer: -5, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548247 is divided by 14057.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2263140.\nAnswer: 1\/565785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41561302 by 21.\nAnswer: 41561302\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -23990.451 to the nearest ten.\nAnswer: -23990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*j = 13, 2*j - 14 = -b - 4*b. Let k(r) = r**3 - 10*r**2 - 5*r + 8. Let t(w) = w**3 - 9*w**2 - 4*w + 7. Let q(y) = -5*k(y) + 6*t(y). Determine q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**3 + 29*f - 105. What is the thousands digit of s(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077 - 34437 = -322*a + 772. Calculate the remainder when 2425 is divided by a.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3344 = 38*y. Let j = y - 84. Solve 5*p - j*a = 2*p + 12, -4 = -p + 4*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 3, 57041 in increasing order.\nAnswer: 1, 3, 9, 57041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s + 89. Suppose -4*f + 2*n + 66 = 0, -5*f - 3*n + 89 = 34. Let t be o(f). Solve -q - 3 = 2*g - 4, 0 = -5*q - t*g + 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69384 and 2254.\nAnswer: 1595832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -530 + 74*f**2 + 530 to the form v + s*f**2 + x*f and give s.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -709?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 40 (c) 0.14 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - (-145 + 65)) + (-67 - 0).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 12 = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/41094 and -97\/486?\nAnswer: 369846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*a**2 - 2*a**3 + 22 + 2*a - 43 + 0*a + 20 in the form z*a**2 + q*a**3 + d*a + i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8777 is divided by 2183?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/747 and -71\/3436.\nAnswer: 2566692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (14 + -8 - -13) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245304 by -5.\nAnswer: 245304\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 - (-3)\/6. Let y be (-4)\/2*(n + -6). Suppose 0 = -2*r + 7*r - 15. Solve r*k + y = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 2*o**2 + 5*o - 2. Let f(m) = -2*m**2 - 25*m - 66. Let r be f(-15). Let y = r + 140. Let n(a) = -a**3 - a**2 - a. Calculate y*u(h) - 2*n(h).\nAnswer: h**3 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)\/w**(6\/11))\/(w**4*w\/w**25) assuming w is positive.\nAnswer: w**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 22. Let h = -1 - -10. Let w be y(h). Determine a so that a**3 + 9*a**3 - 48*a + 7*a**3 + 16 - 12*a**2 + 15*a**3 + 12*a**w = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 35. Let s be m(6). Solve 5*o = -0*a + a + 10, 3*o - s*a = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14680 in -4, 48, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 2 - 7*n + 0)*(7 - 11*n**2 - 7).\nAnswer: 22*n**3 + 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4432143 + 205?\nAnswer: 4432351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/560*-12)\/(18\/(-1050)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Suppose -i*p - 1660000 = -3*p. Round p to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -8. Let j(f) = 7*f**2 - 2*f + 1. Is j(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - 26 - -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13 - 61 = 0. Let q = 17 - t. Put -3, q, -5 in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(10\/7))**(-9\/10) assuming i is positive.\nAnswer: i**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4403 - -4405. Let b(w) be the third derivative of -3\/56*w**4 + 0*w + 1\/7*w**3 + 0 - 3*w**a + 1\/280*w**6 + 0*w**5. Let b(s) = 0. Calculate s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 6 - 8)*(v + 2*v - 4*v + (0 + 0 + v)*(-2 - 2 + 3) + 23 - 23 + 4*v)*(0 - 2 - 1).\nAnswer: 156*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700237 (base 10) in base 7?\nAnswer: 250310200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996827?\nAnswer: 2996827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (555 - 7*x - 277 - 29*x**2 - 277)*(-x - 3*x + 5*x)*(2*x + 10*x + x) in the form k*x**4 + j*x**3 + y*x**2 + g + c*x and give k.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46043.91 times 0.29\nAnswer: 13352.7339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 10*x**2 - 21*x - 29. Let m be i(12). Let z be m + 25\/(-7) + 33\/(-77). Solve -z*b + 4*h = 18, 5*b = 4*h - 12 - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:36 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-2)*(-72)\/(-30). Let i be d\/27 - 8\/6. Let h(u) = 6*u**3 - 2*u**2 + u - 3. Let n(b) = -5*b**3 + b**2 - b + 2. Let a(o) = 4*h(o) + 5*n(o). Give a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 25. Calculate the smallest common multiple of o(-5) and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l + 15. Suppose j - 2*s = s - 36, -110 = l*j - s. Let v = 177 + -197. Is j at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 5*o - 3. Let b be m(-6). Let k(d) = -6 + 3 - b - 6*d + d**2. Suppose 0 = -39*j + 37*j + 12. Calculate k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8038, 16110, 24182?\n\"Answer: 8072*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 3. Suppose 0 = -2*p + 7*p - 20. Suppose -p*i = -2*q + 16 - 0, -2*i = 4*q - 12. Calculate the remainder when y is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1222*x**2 - 4*x - 8. Let g be m(-2). Suppose 37*j - 30825 = -g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -385451 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*d = -2143 + 195, -5*d + 1174 = 3*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/49630 and -17\/14180.\nAnswer: 99260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-12)*1\/5. Let l = 62 + -61. What is the nearest to l in x, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f - 1. Suppose 0*w = 3*w + 21. Let b = 4 + w. Let k be h(b). What is the highest common factor of 77 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3384)\/(-235) - 4784\/920.\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/6 + x**3\/6 + 4*x**2. Find the first derivative of y(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i + i + 0*i. Let m(p) be the second derivative of 3*p + 0 + 1\/3*p**3 + 0*p**2. Give m(g(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 2*q**2 + 2*q + 1. Let u be a(-2). Suppose 7*l = u + 9. Solve 2*z + 4 - 9 = x, 4*x = -l*z + 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-9) - (-1 + -3). Solve -5*a + 25 = p, -5*t + 7 = 3*a - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3 + 15 = 0. Suppose -o*p + 16 - 1 = 0, 2*n - 5*p = -337. Let i = 316 + n. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -5286122.2.\nAnswer: -5286117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/19440 and -131\/540.\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, 2, -2454 in descending order.\nAnswer: 17, 2, 0, -2454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - (-4)\/(-10). Suppose 1 = -2*i - 5*t - 4, 3*i + 2*t = -2. Let k be (1\/1)\/(1 + i). Sort k, -1, n in descending order.\nAnswer: k, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103.9521 + -103.9. Round b to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3737\/4368 + -1\/624. What is the smallest value in n, -1, -3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 - c**2 - c - 5. Let t be f(-1). Suppose t*s + s - 5 = 0. Solve 0 = -s*d - 7 + 32 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-7\/8)\/k)*k**33 assuming k is positive.\nAnswer: k**(287\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1969770 divided by 65659?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.08\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*r**2 - 36*r - 5 + 3 + 65*r - 29*r.\nAnswer: 118*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 - 316 = -10*i - 3*q, -2*q = -5*i - 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 17*u**3 - 7 - 21*u**3 + 50*u**3 - 437*u**2 - 14*u**3 as l*u**3 + i*u**2 + f + d*u and give i.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -14, -0.3, 4\/97, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l - 151. Let r(a) = 8*a - 99. What is -8*r(y) + 5*v(y)?\nAnswer: y + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192430684.\nAnswer: 2, 17, 2829863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168 + 56 + 53 + 57 - 13*h**2 - 4*h**3 to the form q*h**2 + f*h**3 + j + s*h and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:04 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7764 - 1992*v - 591*v - 1126*v - 1984*v + 348*v wrt v.\nAnswer: -5345","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 45*i + 632. Let x be s(11). Calculate the highest common divisor of 1272 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185151 to the nearest 100.\nAnswer: 185200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 + 131 = 46*u + 2*i, 4*u - 9*u - 2*i = -3*i - 3*i + 1 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -21414?\nAnswer: 2\/10707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2180882 and 660?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2881835 by 55.\nAnswer: 52397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/37 (b) 15\/2 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 3, d: 5, v: 5}. Give prob of picking 3 d and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2, -0.04, -5, 4\/7, -13 in descending order.\nAnswer: 4\/7, 2\/9, -0.04, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 28 + 94 = 0. Suppose 0 = 5*d - 4*r - w, -2*d + 4*r = -r - 21. List the prime factors of 13\/(d\/12)*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -832, -6408, -21548, -51034, -99648, -172172, -273388?\n\"Answer: -797*y**3 + 3*y - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + i = -3*x - 32, 0 = 4*i - 16. Let b(l) = l**3 + 12*l**2 + 7. Let r be b(x). Let j be r\/(21\/6 - 3). Solve p + 23 = 4*u, 5*u = 6*u - 3*p - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/20)\/(3\/2). Let j = 6.07 + -6. Let q = -0.33 - j. Sort k, q, 5.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 103, -0.5, -0.1?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -3233.\nAnswer: -3233.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*((m*m\/(m*m**(-2\/13)))\/m)\/m*m))**(-36)\/(m**(-24)*m*m**(-20)\/m))**(-13) assuming m is positive.\nAnswer: m**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n**4 - 2176038*n**3 - 13677550*n**2 - 23313786*n - 5595300 = 0. Calculate n.\nAnswer: -155425, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwyayiayyryay. Give prob of sequence iw.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-152)\/(-6) - (-4)\/(-6))\/(109 + 2545) and -43\/6?\nAnswer: 7962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 4*m + 23, 2*m = k - 10. Suppose -35 = k*f - 2803. What are the prime factors of f?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 254*s**2 + 1228*s - 976.\nAnswer: 2*(s - 122)*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 29*b + 30*b, -j - 2*b = 16. Solve -g = 24*l - 20*l - 21, j*l = g + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4089, -8182, -12275?\n\"Answer: -4093*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 145521.4 litres?\nAnswer: 145521400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppppppppnn. Give prob of picking 2 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 39 = 22*t. Let n(x) = 0*x + t*x - 5 + 31 + 2*x. What are the prime factors of n(15)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 707\/12. Let y be -1 + 0 + 20\/16. Let d = 0 - 0. Which is the third smallest value? (a) d (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 3*q**2 + 2*q + 4. Let i be j(-2). Suppose i*k - 6*k - 30 = 0. Suppose 0 = -k*r + 698 - 68. Calculate the remainder when r is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqoooqqsfhfhk. Give prob of sequence ohhf.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*v**2 - 92*v**2 - 30*v**3.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 24 - 20. Let i be 1363\/87 - (1 + g\/(-3)). What is the greatest common factor of i and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (11 + -10 + 5). Let t be b\/3*123\/164. Suppose t*w + 1 - 1\/2*w**2 = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -596, -1174, -1748, -2318?\n\"Answer: 2*m**2 - 584*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031148763 to five dps.\nAnswer: -0.00311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-8 - -6)) + (8 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 13}. What is prob of picking 2 i and 2 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -986 in descending order.\nAnswer: 3, -0.1, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.2408 + 15.2497147. Round f to four dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -135 + -1?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*d - 3, -2*d + 1 = -v - 1. Suppose 4*n = -v*n + 60. What is the highest common factor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**2*r**2 + 15*d**2*r - 42*d*r**2 + 2*d*r wrt d?\nAnswer: 8*r**2 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -3 (b) 1 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s**2 - 215*s + 460. Let v(b) = -b**2 - 24*b + 51. Let y(a) = -6*i(a) + 55*v(a). Solve y(o) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/2 + j**4\/2 - j**3\/2 - j**2\/2.\nAnswer: j**2*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -130*j**2 + 5. Let g(d) = 40*d**2 - 51*d + 34. Let i(c) = 14*c**2 - 18*c + 12. Let y(l) = 6*g(l) - 17*i(l). Give o(y(x)).\nAnswer: -520*x**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34171, -68346, -102525, -136708, -170895?\nAnswer: -205086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 251 = 31. Let q(y) = -80*y. Let c be q(-2). Calculate the greatest common factor of c and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 2. Let x be (-5 - (g - 3)) + 5. Let m(k) = 3*k**2 + k - 4. Let o(b) = -b - 1. Let h(d) = x*m(d) - 6*o(d). Solve h(a) = 0 for a.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 141?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 15. Let c be 46\/(1 + 3 - 2). Let l = m + c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 - 3*i**2 - 4*i - 3. Let p be q(-2). Suppose -5*v - 6*v = -p. Let y(l) = l**3 - 2*l**2 - 4*l + 1. Give y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a + 10. Let p(k) = 11*k - 15. Suppose 0 = -2*h - 4*s + 8, 3*h - 3*s = -0*s + 30. Let j(v) = h*z(v) + 5*p(v). Calculate j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5663523101.\nAnswer: 61, 71, 1307671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(1071\/268 + -4). Let l be 2\/180*a\/28. Let w = -1\/70 - l. Put w, 3, -4 in decreasing order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**9\/36 - n**5\/30 + 15*n**2. Find the third derivative of i(w) wrt w.\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7439, 14808, 22119, 29342, 36447?\n\"Answer: -5*i**3 + i**2 + 7401*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 2 - 3 + 2446*v + 1238*v + 294*v + 180*v.\nAnswer: -2*v**2 + 4158*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-3))\/3)\/((-3)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*m + 10, 0*a - 3*a + 2*m + 4 = 0. Solve -5*c - 20 = 5*y, -8 = 2*y - a*c - 4*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1502 (b) -0.4 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = -2*f, h - 46 = -4*f + 2. Suppose -2*i + 1273 - f = -2*q, -2*q - 626 = -i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -10*s. Which is the nearest to 5? (a) s (b) -2\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414949128 rounded to the nearest 100000?\nAnswer: 414900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 20. Let m(c) = 1. Suppose -6*v + 5*v = v. Suppose -2*p = 2, v = t + p + 2. Calculate t*s(r) - 20*m(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12316 + -335162?\nAnswer: -322543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 11*w + 16. Let u be b(12). Suppose -15 = -5*f + u*d, f - 2*f + 5*d = 18. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1 - sqrt(132))\/sqrt(12)*-5*3)**2 - (((-5*(sqrt(539) + 1))**2 - sqrt(539)) + 1*(sqrt(539)*-2 + sqrt(539))**2).\nAnswer: -14039 - 343*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8018 + 8040. Let f be 6835\/10 + ((-1)\/(-2) - 2). Calculate the greatest common factor of f and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 4*s + 17. Let b = 70 + s. Solve 5 = -a + r, a + b = -3*a + 5*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 - 3) - (-2)\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000986 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.87 to zero dps.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(2\/42*3). Let z be 2\/(-7) - (-4)\/t. Suppose -1 = -v - z. Solve -v + 10 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (-5*(sqrt(112) - sqrt(112)*1) - 3*(0 + sqrt(112) - sqrt(112)))**2 + 2 + 0)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -t + 5679, -t - 5*p + 3299 = -2388. Suppose -8*u + t = -3*u + 3*q, u - 5*q = 1113. Suppose 5*k + 10 = 0, 3*k + u = 3*j + 5*k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 14*q + 5. Let o be m(-11). Let n = 32 + o. Suppose -4 = f, n*u - 1212 = -4*f - 0*f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 38 = -4. Find the third derivative of -14*h**5 + z*h**2 + 8*h**5 + 15*h**5 wrt h.\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -311\/2?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/5 - 127698*w**2\/5 + 271754112*w + 2718051936\/5 = 0.\nAnswer: -2, 21284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 240160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 28*k**2 - 315*k**2 + 37*k**2 + 1.\nAnswer: -306*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 1 - 3. Suppose -20 = -2*f - i*f. Solve f*q + 2*o + 17 = 3*o, -3*o = -q + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 18. Suppose -h*k = -2*k - 100. What is the greatest common factor of k and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 2612 - 2610 + 7833 - 2611.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 2*c**2 - 2*c - 3. Let v be r(-2). Let x = -6 + v. Suppose -2*g - 117 = -x*f, 3*f + 188 = 8*f - g. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2078 (base 14) to base 12.\nAnswer: -32a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 16) to base 6\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/60 + f**3\/3 - f**2. Let w be 0*(-5)\/(-160)*8. Does 2 divide g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:06 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 417*k**2 + 4*k - 3. Let c be j(1). Is 26 a factor of (-12 - (-8 - 1))*c\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 3 + 2\/(-1). Let l = 3 + i. Let 8*j**l + 0*j + 2 - 7*j - j = 0. Calculate j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -1, -8, 0, -396 in descending order.\nAnswer: 0, -1, -2, -6, -8, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(3*a - 7*a + 2*a)*(-a**2 + 5*a**2 - 5*a**2)*(2 - 2 - a).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at least as big as -1561\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111100100010001010 (base 2) to base 7.\nAnswer: 23463516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 718. Let p(w) = -w + 3. Give j(h) + 4*p(h).\nAnswer: h - 706","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 480 + 1296. What is the remainder when z is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let k = 131843 - 131835. Put -3, k, a, -10 in increasing order.\nAnswer: -10, -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppaa when four letters picked without replacement from apppaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*b - 2 = -4*s, -4*b + 2*s + 8 = 0. Suppose -x - 3*i = 7, 0*i + 13 = 2*x - b*i. Factor 4 + 1 - 2 + 3*y**x + 9*y + 3.\nAnswer: 3*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-49)\/((-1127)\/(-1012)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/22 and (-1206)\/3768*-19 - 6?\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 2066.\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0204340457 rounded to five dps?\nAnswer: 0.02043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (450\/189)\/((16\/(-6))\/(42\/9))\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35920?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/13 or 3\/100?\nAnswer: -46\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -327*p**4 - 2*p**3 + 4*p**2 - 2*p - 576. Let z(f) = 2*f**4 - f**3 + 2*f**2 - f + 2. Let d(w) = -l(w) + 2*z(w). Differentiate d(o) wrt o.\nAnswer: 1324*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 + 142?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*u + 715, 5*u - 15*a - 1169 = -11*a. Calculate the remainder when u is divided by ((-30)\/25*4)\/((-4)\/20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(720) + -1)**2 + 0 + (((sqrt(100) - (sqrt(100) - (-2*sqrt(100) + sqrt(100))))\/sqrt(2))\/(-1*(sqrt(10) + sqrt(40) + sqrt(10))))**2.\nAnswer: 192*sqrt(5) + 23557\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694*x - 698 = 2043*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 6\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wot when three letters picked without replacement from wwkztwozokzz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16504631 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: b\"What is the ith term of -68, -153, -252, -371, -516, -693, -908?\n\"Answer: -i**3 - i**2 - 75*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddndpddpddpdddnddd. Give prob of picking 2 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4474779305 to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10 and 53\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 119*v + 70 = 118*v, -5*v + 330 = 10*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*j - 3*j. Suppose 0 = -5*u + 31 - 1. What is the remainder when 21 is divided by 1*j*(u - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.239 - 34.761. What is the closest to 1 in -1\/2, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6) + (-13 - -8) + -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-5)\/(-5))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 31. Suppose -n + r + 16 = 2*r, -f = -4*n - 5*r. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/2*(1 + 0). Let q = 513\/20 - 117\/5. Find the common denominator of ((-2)\/4)\/(x\/(-31)) and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1544.\nAnswer: 1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1978*3\/180*15. Is 1 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73139.\nAnswer: 11, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3619 - -3619. Let h(c) be the second derivative of -1\/3*c**4 + 0*c**2 - 25\/6*c**3 + f - 34*c. What is the second derivative of h(p) wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -12*n + 1302. Suppose -3 = v, -3*v + 0*v = 5*c - n. Let g = c + -41. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8904 divided by -318.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8107 + 8112. Solve o*t = -17*t - 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3\/2, -4, 5 in descending order.\nAnswer: 5, -3\/2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r**3 + r**2 - 27*r + 46. Let x be j(2). Let p = -144 + 264. Calculate the greatest common divisor of p and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*z - 2 + 84*z - 82*z)*(2 + 4 - 3).\nAnswer: 357*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 1366*b = -1358*b - 14, 3*d + 34 = 4*b for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -1830, -3424, -5394, -7590, -9862, -12060, -14034?\nAnswer: -15634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcth when four letters picked without replacement from {c: 2, h: 4, t: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7099.\nAnswer: 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -224 (c) 0.1 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-7 + 33 - 32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206351741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2278.3 + 0.06\nAnswer: -2278.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from injwgni. Give prob of picking 1 g, 1 i, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 1, c: 2, u: 2, k: 5}. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/8 and 27\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 + 2*d - 3. Let t be v(-7). Suppose t = 4*p - 4*o, 3*p + 2*p - o - 277 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64, -132, -200?\n\"Answer: -68*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220\/60*(2 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022369532 to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43614278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 8. Solve 4 = -k, -a + 2*k + w + 3 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2. Let m(y) = -5*y**2 - 3*y + 3*y + 2*y - 13 + 11. Let l(p) = 16*p**2 - 7*p + 7. Let v(b) = -2*l(b) - 7*m(b). What is t(v(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8600877 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 2382018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 != 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*j**2*m + 76*j**2 - 3*j*m + 37*j + 3*m + 3 with respect to m.\nAnswer: -37*j**2 - 3*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**2 - 2*r + 1. Let p be y(1). Let q(z) = -z - 3. Let w be q(p). Factor 2*b**4 + 0*b**4 - 6*b**2 + 2*b + 3*b**5 - w*b + 4*b**4.\nAnswer: 3*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f - 366. Let o be t(-23). Let h(i) be the second derivative of -6*i + 3\/2*i**o + 0 - 1\/3*i**3. What is the derivative of h(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2207*c = 2209*c - 396. What is the highest common factor of c and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/19 + 233224*g**2\/19 - 357716478*g - 149638389516\/19 = 0. Calculate g.\nAnswer: -22, 58317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-65 - (-1 - 15))) + (1 - 1 - 4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 8*a. Let b(o) = -10*o**2 + 20*o. Let l(k) = -2*b(k) - 5*n(k). Let z(d) = 53*d**2. What is z(l(h))?\nAnswer: 1325*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3 and -23\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-39 - (-42 + 45)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0 - 8*l**3 + 0*l + 0*l**4 + 21\/20*l**6 + 1\/30*l**5 + 81*l**2. What is the derivative of a(t) wrt t?\nAnswer: 378*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 6\/7, -0.04, 2, -94, -2\/7, 9\/2, 4?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x + 2*h - 14 = 0, 0 = -2*x - 4*h + 10. Let c(k) be the second derivative of 2*k - 1\/6*k**x + 0 + k**2. What is c(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p + 5. What is o(-13)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1557 and 3244\/168 - (-64)\/(-56).\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 37063168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2914758 by 2.\nAnswer: -1457379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35514 is divided by 11826.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 7*m**2 - 12*m + 34. Let n be q(8). Suppose n*l = 29 - 15. Solve 2*z - 10 = l*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11698575, -11698573, -11698571, -11698569, -11698567, -11698565?\n\"Answer: 2*j - 11698577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*((-1768)\/117)\/(-17)*(-126)\/24.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 15897708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*b + 25 = -2*b, -5*b + 49 = 4*u. What is the greatest common divisor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6361*z - 1. Let d(u) = -25*u - 1. What is -2*d(q) + f(q)?\nAnswer: -6311*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3*(-26)\/(-39)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-4*9\/((-198)\/(-11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - -4. Suppose 2712 = 242*b + 210*b. What is the highest common factor of b and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66, 153, 240, 327?\n\"Answer: 87*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 3*p**3 + 9*p**3 + 3*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/4))\/f*f*f)**(-34)\/(f**1*f*f**(-1))*(f**0*f\/f**(-2\/33)*f)\/(f**5\/(f\/(((f*f**(-1\/7))\/f)\/f))) assuming f is positive.\nAnswer: f**(-36173\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-12.1.\nAnswer: 6.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5179*p - 5911*p + 820660 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4 = -2. List the prime factors of o\/2*(-2 - 2362)\/(-6).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 188*o - 321*o + 85*o + 4*o**2 - 2*o**2.\nAnswer: 2*o**2 - 424*o + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffkkfkfkfff. Give prob of picking 2 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*(1*sqrt(75))**2 + sqrt(75) - sqrt(75)) + (sqrt(12)*-5 + sqrt(3) + sqrt(3) + (sqrt(48) - sqrt(3)) + sqrt(3) + -1)**2).\nAnswer: 16*sqrt(3) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 14 = -5*j. Let s(m) = -m + 9. Let x be s(j). Solve -3*p - t = -5, 0 = -p - 5*t - 0 - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19 + 2 - 5*o + 35*o**2 + 3*o + 32. Is a(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/18 + 18476\/6. Suppose -9*o + 188 + f = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 900 and 40200?\nAnswer: 120600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Let f(b) be the first derivative of -2*b**2 - b - 3. Determine f(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3630)\/(-81675)*(-6)\/(-1).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4, 94903, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 109*m**2 - 1667*m - 10250. Determine y(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 1163, 2497, 4351, 6719?\nAnswer: 9595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x + 12742478. Let m be x\/49 - 4\/14. Suppose 5*p - m = -5*g, 4*p - 6*g + 5*g = 103995. What is p rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6623787139\/3118707 + 2\/1039569. Let o = p - 2128. Find the common denominator of 65\/24 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 50 = -0*p - 5*j, 2*j = 2*p - 16. Let m be (5 + p\/(-6))*2. Solve 5*v - m*v = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-15))\/(12\/40). Let g(k) = 6*k + 4. Let d be g(x). Suppose 14*c - 811 + 27 = 0. Calculate the greatest common divisor of c and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 57193*v. Let g(a) = 2551*a. Determine h(g(k)).\nAnswer: 145899343*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 2)*(239*s - 138*s + 271*s) to the form l*s + g and give l.\nAnswer: 2232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**3\/18 + 911*o**2\/6 - 829921*o\/6 - 1090. Find c such that x(c) = 0.\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen sixteenths of a hour?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*p + 10481 + 7685 = 200*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxggibxgogibbgioxgbg. Give prob of picking 3 g.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2784 = -14*h. Let i = -227 + h. Solve 9*f = 4*f - i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((8\/(-22))\/((-1020)\/374))\/((-8)\/685) and 23\/620.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125146 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9832204350 to the nearest one million.\nAnswer: -9832000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, -3*v + 5*v - 11 = -c. Suppose 0 = 2*t - v*t + 8. What is the first derivative of -n - t*n + n - 5 + 2 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13000\/7 - -1854. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 76*h**2 + 20*h - 20. Let m(g) = g**2 + 3*g - 1 + 10*g**2 + 1 - 3. Let x(n) = 40*m(n) - 6*q(n). Let p(a) = -2*a. Give x(p(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**8\/840 - y**7\/210 + y**6\/180 + 2*y**3 + 4. Let o(s) be the third derivative of m(s). Let o(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -337\nAnswer: -33\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(sqrt(684) + -2*(sqrt(684) + 1*sqrt(684) + sqrt(684)) + sqrt(684) + sqrt(684))*-1*5*-6*-5)**2.\nAnswer: 2216160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 6. Let l(a) = -7*a - 1. Let u be l(-1). Let i be n(u). Let t(f) = 3*f**2 - f + 2*f**2 + f**3 - 4*f**2 + 4. What is t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 17*z**5\/60 + 7*z**4\/12 + 68*z**3\/3 - 283*z**2. What is the hundreds digit of l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3118*r - 5. Let z(t) = -172*t. Give h(z(x)).\nAnswer: -536296*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(h\/(h**(3\/8)*h)))\/(h**2*h*h\/h**(-7\/8)*h) assuming h is positive.\nAnswer: h**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, -202, -110, -18, 74, 166?\n\"Answer: 92*v - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.92, -0.5, -5\/3, 5 in decreasing order.\nAnswer: 5, -0.5, -5\/3, -1.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2602*d**3 - 1301*d**3 + 11*d - 1273*d**3 + (1 - 4 + 2)*(-d**2 + d**2 - d**3).\nAnswer: 29*d**3 + 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0*x**2 - 3 - 2*x**2 - 11*x + 5 + 3*x**2. Let k be m(11). Suppose 0 = 5*r, -5*a + k*r + 635 = -2*r. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/210 and 16\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17422ec7 - 6?\nAnswer: 17422ec1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6206*p**2 + 23*p**3 + 3*p - 6206*p**2 - 2 as z*p**3 + b*p**2 + n*p + a and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33075 is divided by 2200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1853 by -21.\nAnswer: -1853\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -100101110010001001?\nAnswer: 100101110010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -7. Put 1, l, 4 in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/((-6426)\/(-748))*(-1)\/(-319)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132130100 (base 4) to base 2.\nAnswer: 11110011100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.3. Put j, 0, -1\/2 in increasing order.\nAnswer: -1\/2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 459*p - 925*p + 452*p + 28. Solve 3*w = p*w - 5*c - 5, -5*w - 4*c = 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3394, -3405, -3416, -3427, -3438?\n\"Answer: -11*a - 3383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 6 - 9*n - 1.\nAnswer: -n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7510?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -0.50911.\nAnswer: 0.0152733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12)*14)\/(((-2352)\/(-64))\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 119*a**2 + 19. Let f be (133\/49 - -3) + 4\/14. Is y(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23339612 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101530\/(-35145)*(-18)\/(-20).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3 + 14415*i**2 - 4054490*i - 8166600 = 0.\nAnswer: -3141, -2, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1058 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a year?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 6*p + 5*p + (1 + 2 - 1)*(-1 + 1 + 2*p) + 0*p + 6*p - 3*p)*(-1634630 - 1165*p + 1634630).\nAnswer: -9320*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v + 4682 = -5566. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**4 - w**3 - w**2 - w + 1. Let i(g) = -9*g**4 + 5*g**3 + 5*g**2 + 5*g + 643. Let k(r) = i(r) + 5*p(r). Find the first derivative of k(t) wrt t.\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + 228\/36. Solve 4*q + 2*p = -6, a*p = -2*q + 2*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386899 rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.7. Let o = g + 0.3. Let y = 0 - 0.2. What is the smallest value in 3, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 0. Suppose -n + 23 + 136 = d. Round n to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/13, 32, -5 in increasing order.\nAnswer: -5, -0.2, -2\/13, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -49*r**2 + 64*r - 3. Let q(o) = -4*o. What is i(q(m))?\nAnswer: -784*m**2 - 256*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4)*-1*20. Solve -7*j + c*j - 3 = -r, 3*j = -3*r - 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)*11\/2. Suppose -k + 2 + f = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/(18\/(-243)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195069?\nAnswer: 3, 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 12 + 25 + -3 + -14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.892 - -0.008. Let r = -0.9 + u. Let p = -0.06 - -3.06. Sort r, -4, p in descending order.\nAnswer: r, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12 + 12662*z + 15 - 31. Let s be h(2). What is the tens digit of s\/216 + -3*2\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 8*o**2 + 6*o - 6. Let j be c(-7). Let m be (-2)\/6*(-1 - -4). Let t be 1\/(-3)*1 - m. Do j and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62352 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 9*x**2 + 13*x + 14. Let p be z(-10). Find the common denominator of -63\/5 and (0 - 0) + 150\/p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4144 + 88309248.\nAnswer: 88305104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.3. Let o = -2.2 - -6.1. Let v = -4 + o. What is the nearest to v in 2, w, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 47*m**2 - 15*m + 310. Give t(47).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16724 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99960 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1, -1.484?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a. Let v(g) = 2*g. Give 6*o(i) + 34*v(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1824 and 15504.\nAnswer: 31008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3745 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 295 + -886\/3. Let c = -1.06 - -1. What is the nearest to c in -1, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/35143 and -83\/5598.\nAnswer: 632574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279713?\nAnswer: 7, 31, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 227*v - 3092. What is the least common multiple of (-14)\/(-6)*(14 - 2) and b(15)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 3. Let s be r(3). Solve s = 3*g - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 25. Let w be 5*(1\/(-2)*-4 - 5). What is the hundreds digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-13)\/((-2457)\/45)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Let c = 4.1 - p. Suppose 0 = 2*s - 4*d + 18, 4*s - 9*s + 5*d = 20. What is the closest to s in 0, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*q**5 - 140*q**2 - 3*q + 4504?\nAnswer: -460*q**3 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 28*w + 26*w - 3 - 23*w + 7. Suppose 5*t - 13 = -8*t. What is the units digit of j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59572, 238579, 536922, 954601, 1491616, 2147967?\n\"Answer: 59668*w**2 + 3*w - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*f - 4*f + 2*f)*(-5*f + 3*f + 4*f) + f**2 + 7*f**2 + 0*f**2)*(-2*f**2 + f - f) to o*f + t*f**4 + s*f**2 + q + v*f**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:19 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -c160c (base 13) to base 3\nAnswer: -122120120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 20*w - 1. Calculate the remainder when p(1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 - 2*o - 4. Let i be y(-5). Let d(m) = -m**2 + 12*m - 15. Let k be d(10). Suppose -i = -k*q + 4*q. 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: Let i(a) = 12*a + 422. Let w be i(-17). Let m = -180 + w. Which is smaller: 41 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Let n = 1 + y. Find the first derivative of 0 - p - 1 + n wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 160 = -4*l, -5*r + 215 = -5*l + 25. Let m be (-16)\/56 + (-52)\/14. What is the remainder when r is divided by (m\/6)\/(39\/(-819))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+2.5113\nAnswer: 1.7113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/120 - 2*c**4\/3 - 247*c**3\/12 - 4095*c**2. Factor l(x).\nAnswer: -(x + 13)*(x + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ggtgtggcdcdgdgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.613 + 1.471. What is x rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times 5.347362\nAnswer: 7.4863068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + -7 + 5 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5708 + -2124. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa4a0 (base 13) in base 9?\nAnswer: -1245308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -58782.5.\nAnswer: -235130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687931 is divided by 49134.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 30. Let m be (-3)\/v*-4 - 1. Let j = -224.2 + 224. What is the closest to m in -0.4, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 13. Let t(y) = -9*y - 27. Let u(i) = -7*c(i) + 3*t(i). What is the smallest common multiple of 3 and u(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -734.5736 and 4?\nAnswer: 738.5736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287498 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: Does 38 divide 1841974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 122151?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 1:47 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Let f be (-16)\/36 - 456\/(-540). Sort -2\/11, f, 2\/11, u.\nAnswer: -2\/11, 2\/11, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -559, -556, -571, -610, -679?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (0 + 3 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5417 = -206*b + 427 - 282 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:43 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)*k\/k**(-5))\/((k\/(k\/(k\/k**(-14))*k*k))\/k**(-14)) assuming k is positive.\nAnswer: k**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19678229.\nAnswer: 19678229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 248.\nAnswer: 1\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - 83 - (0 - 2 - (-7 + 14)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13176 + 20995. Let -12*l**3 - 3*l**4 + 7819*l - y*l = 0. What is l?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 86*r + 91*r - 176*r. Let v(j) = -12*j. What is v(h(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 2*t + 5*t)*(-14*t - 18*t + 13*t)*(-t + 0*t + 2*t) to p + m*t**3 + c*t + q*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -60 (b) -50\/61 (c) 1\/4 (d) 1\/11 (e) 1 (f) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 10*o + 11*o + 1)*(-1 - 1 + 0) to the form x + m*o and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 - 2*a + 2*a + 2*a - a**2 to r*a**2 + w + b*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406 is divided by 219?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785857 is divided by 594?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9749.418 meters to micrometers.\nAnswer: 9749418000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*h + 926, 12*b - 233 = 11*b - 2*h. Calculate the lowest common multiple of b and 165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14312404 (base 7) to base 5\nAnswer: -321112342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605)*-6 - (-1*sqrt(605) + -4))**2.\nAnswer: 616*sqrt(5) + 29661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(28\/(-5))*2\/(-3)*7.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 10*x - 71. Let h(n) = -2*n**2 + 6*n + 36. What is -5*h(c) - 3*l(c)?\nAnswer: c**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31885982 divided by 1\nAnswer: 31885982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 22 = -0*s. Put 74, s, -5 in descending order.\nAnswer: 74, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 1\/3, -2, -806?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 + 419 = a + 4*l, -3*a = -l + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**2 + 47*u**2 - 18*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -4*f. Let p = f - 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 49*g - 406. Let x be f(11). Suppose l + 2*l - 18 = 0. Let b = -3 + l. Solve 3*j + x - b = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4704\/137, -0.09, -2\/7 in descending order.\nAnswer: -0.09, -2\/7, -2, -4704\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a - 9 + 9 + (-2 + 5 - 1)*(-3*a - a + 3*a) - 5*a - 2*a + 3*a + 7)*(6*a - 2*a + 1 + a).\nAnswer: -105*a**2 + 14*a + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (-16)\/(-4) - -7. Let o(f) = -2*f**3 - 2*f**2 + 1. Let w be o(1). Let l(k) = k. Let d be l(w). What is the closest to -1 in j, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 - -20.81977123\nAnswer: -128.18022877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28570.73886405 - -7.94048595. Let i = g - 28667.68. Let l = i + 89. Round l to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*k + 898 + 546 = 0, 5*k = 4*x - 1430. Suppose 6*y - 16*y = -x. What is the first derivative of 8 + 23*f - y - 12*f - 16*f wrt f?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 24 = -h + 2*u, 5*h - u = -17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214029?\nAnswer: 3, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Suppose g*y = 118 + 104. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 12) in base 10?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206468, 5, 1.\nAnswer: -206468, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/5, -1194 in decreasing order.\nAnswer: 4, -2\/5, -1194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36191560 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 678003 + -470003. What is l rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 16456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 7. Calculate q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41346 is divided by 6673.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.17 less than 0.353?\nAnswer: 6.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20682.9 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -245?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4943215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 156701 and 156656 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f - 28*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 69. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.51 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 5*v - 3*v + 4*v to the form m + b*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507115143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -467*v**2. Let z(p) = -44*p. Let s(c) be the second derivative of -35*c**3\/6 - 87*c. Let t(m) = -5*s(m) + 4*z(m). What is t(x(o))?\nAnswer: 467*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**7*o\/o**(-2\/3))\/(o**(-2))**(2\/15) assuming o is positive.\nAnswer: o**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -723 + 722. What is the nearest to z in 0, -0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240780791 to the power of 1\/3, to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*-1 + ((0 + sqrt(2))*-6)**2.\nAnswer: -4*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Let k(n) = n**2 + 8*n - 4. Let a be k(-6). Let i be a\/(-136) - (-16)\/153. Sort g, 0.2, i in decreasing order.\nAnswer: g, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 243, 486, 729, 972, 1215, 1458?\n\"Answer: 243*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71059*i**3 + 45536*i**2 wrt i.\nAnswer: 426354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/24 - 230\/276*12\/(-15).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 113339.3532205?\nAnswer: 113336.3532205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-4)\/(-22))\/(6*(-33)\/99).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 1039299760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/1235 and 23\/570.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 1767317 (b) 2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t - 66. Calculate the remainder when 48 is divided by x(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 705*h**2 - 726*h**2 - 2*h**3 - 26 + 54 - 24 in the form m + d*h**2 + i*h**3 + x*h and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3136 + -4?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5, 3*q - 6*q + 4*a + 1532 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -3.2. Let c = 0.02 + -0.32. Let p = c + -1.7. Sort -4, t, p in increasing order.\nAnswer: -4, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.8 + 34.425. Let a = -0.375 - x. What is the closest to 0 in -0.4, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 1, k: 2, d: 1, s: 1, v: 2}. What is prob of sequence sv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 245 - 3*b**3 - 29*b**4 - b - 247 - b + b**2 + 4*b**3 in the form x*b**4 + v*b + n*b**3 + r + k*b**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 27 + 13 - 6 + 1280*s to the form u*s + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Suppose 83 = -p*f - 62. Let m = f - -78. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 + 46\/(-6))\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7165 - 7283 = -21*c. Let p = c - 679. Solve 11*q - 8*q = -p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 + 16027*g - 44855 with respect to g.\nAnswer: -4*g**3 + 16027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 34*w - 2*s - 12 = 0, w - 2*s + 3 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 3 + (-3)\/3. Solve 2*c + a*c = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a. Let n be (1 + 3)*(-20)\/(-16). Let g(j) = 1 + 3 + n*j - 4. Suppose 4*c = -c + 30. Calculate c*q(u) + 11*g(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6745*w - 13486. Determine h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 412539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -13. Suppose 4*n = j - 61. Let w(z) = z + 19. What is the units digit of w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((6*((sqrt(252) - (sqrt(252) - (-1*sqrt(252) - sqrt(252)))) + sqrt(252)) - (-2 + sqrt(252) + 0)) + 1*sqrt(252)*-2 + 1*(sqrt(252) + 0))*1)**2.\nAnswer: -384*sqrt(7) + 32264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 555 = -201. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 17*t - 9. Determine g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-1 - -1 - -3). Let c be (-2)\/w + (-5880)\/(-63). Which is smaller: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/sqrt(6)*-1 - (sqrt(57) + sqrt(57) + -2*sqrt(3648)))\/(sqrt(12)\/(-3*sqrt(4)) + sqrt(147) + -2*sqrt(147)).\nAnswer: -39*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*l - 0*l - 6454 + 338 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 2. Let j(m) = 2*m - 2. Let g(a) = 3*j(a) + 2*w(a). What is g(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -811 and -55.\nAnswer: 44605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.316 and 2346311590.\nAnswer: 2346311595.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/5, -0.1, -6, -6.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -271743 <= -815230\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -117, -121, -125, -129, -133, -137?\n\"Answer: -4*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeemxkxxkexexkxe. Give prob of sequence ke.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i - 5 + 0 + 3)*(2 - 2 + 3).\nAnswer: -42*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 129*s - 268. Calculate m(-131).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1853559691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s. Suppose -51 = -3*k - s*k. Suppose -2*a = -0*a - 238. Calculate the greatest common divisor of a and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450.8707 + 4\nAnswer: -446.8707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -63. Sort 43, u, -4, 0.2 in increasing order.\nAnswer: -4, 0.2, u, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1101200?\nAnswer: 1101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 0*d - 3*d. Let b(j) = 6*j**2. Give f(b(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.595, -288, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4497614 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + 130*y**4 - 131*y**4 - 20*y - 4*y**2 + 21*y to the form q + r*y**3 + k*y**4 + t*y**2 + v*y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 212 - 194 = 0. Let w(u) = -2*u**3 + 14*u**2 - 5*u - 17. Let h be w(m). Let f = -145 - -345. Calculate the greatest common divisor of f and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2939026 and 4.\nAnswer: -11756104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 6 - 4) + (2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110694 divided by 38?\nAnswer: -2913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, l: 4, t: 4, q: 6, f: 3}. What is prob of picking 2 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 7*r - 1. Let i be l(-6). Let n = 401 - 238. Suppose i*v = -48 + n. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k - 2. Calculate c(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-2))\/(2\/(-28)). Suppose 0*a - a - 4*d = 18, -5*d - j = -5*a. Let w(l) = l**2 + 2*l + 1. Determine w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101446326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z - 3. Let h be r(2). Suppose 0*u - h = -u - 5*m, 3*u + 4*m = 14. Is u\/12*-3*290 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose k = 4*k - g*w - 16, -5 = w. Suppose 4*b**3 - b - k*b**2 + b**3 - 6*b**3 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**4 + 3*a**4 - 2*a - 2*a**3 + 3*a**4 - 3*a**4 - a**2 in the form h*a + b*a**4 + c*a**2 + y + l*a**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62507111, 62507117, 62507137, 62507177, 62507243, 62507341, 62507477, 62507657?\nAnswer: 62507887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/((-55)\/275). Let f be 4\/(-10) + (-36)\/10. Are f and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1907, 0, -2, 8 in descending order.\nAnswer: 8, 0, -2, -3, -4, -1907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286390.\nAnswer: 2, 5, 13, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-44) - (2 - 2). Let h = -63.28 - -64. Let w = h + 0.28. Which is the biggest value? (a) -5 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d*d)**(-12\/11))**25 assuming d is positive.\nAnswer: d**(-300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 1\/180*q**5 + 1\/540*q**6 + 0*q**4 + 0 - 1\/3*q**3 - 3*q**2. Let n(j) be the first derivative of d(j). Factor n(p).\nAnswer: 2*p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.147373309 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200003 - 0?\nAnswer: -200003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2*2 - sqrt(17)) + 0.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 e when four letters picked without replacement from {t: 5, e: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2. Let s(y) = -81*y - 75. Let h(r) = r + 12. Let f(m) = 6*h(m) + s(m). What is u(f(n))?\nAnswer: -16875*n**2 - 1350*n - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 + -286. What is the third derivative of -2*d + 5*d - 42*d**4 - 2*d**3 + 33*d**s - 3*d wrt d?\nAnswer: -1008*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubuu when four letters picked without replacement from {u: 5, b: 7, y: 7}.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 3102?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20662 - -2?\nAnswer: 20664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 49?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*d**3\/3 - 341*d**2\/3 - 712*d - 240.\nAnswer: -(d + 12)**2*(14*d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raeeeahaeaeeea. Give prob of sequence aeee.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 + 8*p**2 + 19*p - 19*p wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 3. Let p(x) = 6*x**3 - x**2 - x - 1. Let z = -1 + 0. Let d be p(z). Let y(l) = -3*l + 4. Determine d*k(q) - 5*y(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5))**(-2\/19)\/((i\/(i*(i*i*i**(-9))\/i))\/i**(3\/4)) assuming i is positive.\nAnswer: i**(-2747\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36627*i*p - 48772785*i - 2591*p**4 wrt p.\nAnswer: 36627*i - 10364*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(-1*sqrt(2)) + 1 + -5)**2 + sqrt(170)\/(sqrt(10)*-2) + sqrt(204)\/(3*sqrt(12) + sqrt(12) + sqrt(12) - sqrt(12)) + -4.\nAnswer: 29 + 31*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-1\/2)\/b)*b*b\/(b\/(b*b**(2\/7))))\/((b**(-2\/13)\/b)\/(b**(-7)\/b)) assuming b is positive.\nAnswer: b**(-193\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -306, -308, -310, -312?\n\"Answer: -2*k - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -7 - (7 - (-29 + (12 - 0))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 54. Let n be r(25). What is the greatest common divisor of 12 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2744*f + 2734*f = 110 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q. Let s(v) = 6*v**2 - 4*v + 3. Let b(u) = -5*n(u) - s(u). Let h be 6\/27 - 11\/9. Let m be (0\/h)\/(1 - 3). Determine b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27780.4 + -27780. Let s be -1*((-2)\/(-4) + 1). What is the second smallest value in u, -0.1, s, 7\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/(-15) + -1)*55\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (675\/(-36) + 16)\/((-1)\/(-2344)). Round y to the nearest 100.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from innqqnnnnni?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*s + 10, -24*s + 26*s - 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1161, -2318, -3471, -4620, -5765, -6906, -8043?\n\"Answer: 2*t**2 - 1163*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2\/10)*5. Let g(v) = -15*v + 825. Let i be g(54). Solve -d = 2*f - 10, -1 = -l*f - d + i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385995407 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 422 or 425?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1044, 0.4, 12.\nAnswer: 0.1, 0.4, 12, 1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 233*r**6\/10 - 2567*r**3\/6 - 151*r**2 + 8*r. What is the first derivative of g(p) wrt p?\nAnswer: 8388*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(1\/6)))*h**3)\/(h\/h**(-2\/11)*h**(-1\/3)) assuming h is positive.\nAnswer: h**(197\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a + 88*a - 30*a + 5 - 25*a as y*a + r and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 17. Let p = s + 0. Suppose -3*u + p = 5*d, -2*u - 4*d - 2 = -6. What is the smallest common multiple of u and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(3\/6))\/((-28)\/(-42))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521000 is divided by 65.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Let f = -0.711 + 1.011. Which is the second biggest value? (a) p (b) f (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 161.901. Let r = v + 0.001. What is the third smallest value in 4, 1, -1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 9360*m - 10951200.\nAnswer: -2*(m + 2340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 824625?\nAnswer: 824625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**3 + 32*k**3 + 69 - 109*k**3 - 17*k**2 + 12*k**3 + 38*k**3.\nAnswer: 3*k**3 - 17*k**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14665327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w**3 - w**2 - w - 1. Determine b(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14559.755 to the nearest 100.\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1945 - -1960. Solve -g = -4*l - 25, g + 2*g - x = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100010001000100 + -101?\nAnswer: -10110100010001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -20.1 (c) 1576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7821\/4 - 1955. Which is the closest to -0.1? (a) 2\/51 (b) m (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 850269 and 3?\nAnswer: 850269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 8)*(-4 + 1 + 0)*(-3 + 2*c + 3 + 2) as f + g*c and give g.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/140 and -3\/455.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14134 and 11078?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (-254)\/6. Let u be 5 - (-6 + 7)*16. Let s = u - o. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(42)\/sqrt(486)))**2 - (0 + 6*-2*sqrt(343)*2)**2.\nAnswer: -16000808\/81 - 50*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 - ((5 - -2) + -16))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22164519 is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0.1 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 12. Let r(x) = -x**3 + 2*x**2 + 2*x - 3. Let i be r(j). Let s = i + 11. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.021434?\nAnswer: 0.021434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 1065794 = -5*z + 1065979, 4*z - 111 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13041 and 751617?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 3*v + 2*v - 4*v**2 - v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 260.\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 9*l = -4*n + 4153, 0 = -2*n + 5*l + 2079. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -81. Which is the nearest to 1\/4? (a) -2 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {a: 1, g: 2, k: 1, z: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3538 - 3493. Solve -b - k = -1, -b + 41*k - n*k - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835 (base 12) to base 7.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**2 - 26*o**2 + 4*o**2)*(-8*o - 64 + 64).\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 39\/208*(-39360)\/(-180)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssmms. Give prob of picking 1 m and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*z - u - 8, -2*z = -5*u + 4. Suppose -20 = -x - z*x. Let j = 38 + x. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1127)\/(-1568)*(-4 + 0).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -4 - 62\/(-2). Suppose 0 = -3*j, 4*j + f = -2*y + j. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/32 and ((-246)\/(-42) - 5)*(-33)\/6?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x + 3. Let l(i) = -5*i + 1. Calculate 7*f(b) - 6*l(b).\nAnswer: -7*b**2 + 2*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s**2 - s + (2*s - 2 + 2)*(3*s - 7*s + 2*s) - 5*s**2 - 2*s + 2*s + 2 - s**2 - 2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1381\/5 + -275. Let s = -1337.5 + 1337.8. Sort s, z, -1\/2, -2\/7 in descending order.\nAnswer: z, s, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223678 is divided by 111106?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 534 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692832 divided by -32.\nAnswer: -21651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m**3 + 8*m**2 - m + 6112 wrt m?\nAnswer: 15*m**2 + 16*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 1. Let w = 3 + 2. Suppose 20 = -5*n + w*h, -6*n - h - 1 = -2*n. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -94*r - 3944. Determine s(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.138117 and -43.\nAnswer: 5.939031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 2*h + 12, -26 = 2*l + h. Let f be 16\/((-12)\/(-3)) - 4. What is the units digit of f + ((-17)\/4)\/(3\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.95 (b) -2 (c) 1\/8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/7 - 387702*d + 8141751\/7 = 0.\nAnswer: -2713917, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.5 + -64.5. Which is the nearest to 1\/2? (a) -18 (b) 2\/9 (c) -1\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t - 221 + 165 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 4*o**2 - 4*o + 3. Let v(j) be the second derivative of -j**5\/20 - j**4\/4 - j**3\/2 + 3*j**2\/2 - 3*j - 30. Calculate -3*p(u) + 4*v(u).\nAnswer: 2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -6. Let y = -2 - -13. Let v = y - s. Does v = -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -0.989\nAnswer: -32.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/65*(-5)\/2*1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -37) + -29 - (1 + -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31977\/2 - -16348. Let x be (-4)\/(-48)*25137\/(-6). Let v = w + x. Calculate the common denominator of -3\/4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 692*u - 696*u = 27, -u - 12 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*r - 2926 + 370, 3*k - 1891 = 5*r. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 1438.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -10 - 41 - (-3 + (5 + -5 - -12)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 9 + 100*v**2 + 5 + 7 as g*v**2 + h*v + k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) -1.7 (c) 0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4621 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 5*l + 55 = -6*m, -m - 2*l + 8 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-22*38\/(-14212) - 1214\/(-170))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/192063?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 + 16*d + 1. Let k(r) be the first derivative of r**3\/3 + 3*r**2\/2 - 86. Calculate -11*k(m) + 2*q(m).\nAnswer: -3*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 - 1 + 1 + 44*b**3 - 75*b + 75*b.\nAnswer: 4*b**2*(11*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 17*m + 3*m**4 - 36 + 36 - 11*m + 2*m**2 in the form p*m**4 + o + y*m**3 + f*m + h*m**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 15 = -2*r - f, 4*r - 80 = -4*f. Let s = r - 14. Calculate the remainder when 5 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*1)\/(36 - 37). Let n(y) = -5 + y**3 - 6*y**u + 16*y + y**2 - 16*y. Let p(q) = -q**2 - 1. What is -n(g) + 3*p(g)?\nAnswer: -g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3777378344 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50380.022119 - 50380. What is j rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ken when three letters picked without replacement from {d: 3, e: 2, k: 3, n: 3, c: 5}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -9 - (2 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/8 + 1\/2. Suppose -9 = t*c - 6*c. Find the third derivative of 5*n**3 - 9*n**2 - 4*n**c + 12*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxqmpqk. What is prob of picking 1 q and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93010 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4 = f + 24, 5*f - 4*u + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5098*h = 1606*h + 61665 + 29127 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1944)*2)\/(sqrt(6) + sqrt(600)*2))\/(4*(sqrt(98) - sqrt(98)*-1*-4)))**2.\nAnswer: 1\/4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 723 + -799.6. Let s = m + 77.6. Suppose 2*n - 20 = -8. Which is the nearest to n? (a) 0.5 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 - 1983*b**2 + 2 - 4*b**4 + 1983*b**2 - 45*b + 2*b + 5*b**3 in the form r*b + d*b**4 + y*b**2 + h + l*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-40)*(140\/15 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653093669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 15, 33, 53, 75, 99?\n\"Answer: b**2 + 13*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d = -1332 - 68 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = y - 5*d, -3*d - 12 = -y - 0*d. Let v = y - 1. Solve s = v*s, -2*q + 2*s = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41014586471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = -3*w - 4*w. Let b = w - -91. Suppose 5*z + 5*x - 450 = b, 4 = -4*x - 4. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2190*x + 3 + 13382*x + 823*x.\nAnswer: 16395*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 73 = 3*j. Let g = -11 + 24. What is the remainder when j is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1108434 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.3, 3\/11, -3\/2, 0, 3\/2 in ascending order.\nAnswer: -3\/2, 0, 3\/11, 0.3, 3\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -22, 0.4, -5, -3\/10, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-45) + 57\/(-135) + 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -8*c - 66. Let d = -19 - c. Find the second derivative of -4*k**d + 32 - 4*k - 32 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -925.25003 + 925.5. What is y rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325444114 (base 6) to base 10.\nAnswer: 5869198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0 + 0*b + 1\/8*b**4 + 2*b**2 - 5\/3*b**3. Is o(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -398*l - 633. Give u(-2).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*w + 78*w - 43 - 914 + 46 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0.3, -4 in decreasing order.\nAnswer: 4\/9, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20002212212 (base 3) to base 10\nAnswer: -120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.98 + -1.7. Let g = s + -0.28068. What is g rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*148086748\nAnswer: -74043374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**5 + 467*z**4 + 5168*z?\nAnswer: -80*z**3 + 5604*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 15) to base 7\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13579 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-15))\/((-21)\/(-105)). Let p be -2 + (-60)\/(-27) + 25\/9. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 2*w - 10*w + w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o - 34. Let w be f(2). Find m, given that -2\/13*m**4 + 0 + w*m + 0*m**2 + 2\/13*m**5 + 0*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*z + 79 = 0, 0 = 3*u - 2*z - 3*z - 76. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -2, -63, -4, 5 in decreasing order.\nAnswer: 5, -2, -4, -5, -6, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1121520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let m be j(-5). Solve -2 = -m*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 4*r + 2. Suppose -5*s = -4*b - 9, -4*b + s + 11 = -0*s. Suppose -h = -0 - b. Is p(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l. Let f(u) = -76*u + 1966. Give q(f(d)).\nAnswer: 152*d - 3932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 5. Let h be x(-5). Suppose y = s + 3*s - h, 0 = 2*s + 5*y + 3. Calculate the lowest common multiple of s and 4\/14 + 6\/84*150.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 2*f + 3*f - f - f + 4*f + (-2*f - 2*f - 5*f)*(1 + 1 - 3) - 5*f + 6*f + 3*f in the form w*f + a and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6952234 to the nearest integer?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 6, e: 2, t: 5, w: 2}. What is prob of picking 1 w, 1 e, and 1 m?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-25) - (-6)\/10. Let x(n) = 7*n - 45. Let h be x(7). Suppose 19*q = 18*q + h. Solve 0 = 3*c - 3, 2*c - q + z = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1776 - -1898. Calculate the highest common factor of 3782 and q.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q - 10 - 8*q - 2)*(4 - 4 + q).\nAnswer: 2*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.6179ug to tonnes.\nAnswer: 0.0000000007056179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 37 = -2*p, 99 = 5*c - 4*p + 36. Suppose -5*d + 4*x + c = 2*x, 3*d + 2*x - 13 = 0. Solve 0 = 2*a + a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179510.3319 to the nearest 100.\nAnswer: 179500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**3 - o**2 - 11*o + 9. Let c(h) = 12*h**3 - h**2 - 19*h + 18. Let z(q) = 3*c(q) - 5*k(q). What is z(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x**2 - 60*x**3 - 2145*x**4 + 2140*x**4 + 7*x - 7*x = 0 for x.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 - 12.4?\nAnswer: -12.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*a - 942 = -22*a - 21538 - 1074 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5\/20 + j**4\/2 - j**3 + 15*j - 90. Let s(o) be the first derivative of i(o). Determine s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 - 20*j + 96. Let b be k(-6). What is the greatest common divisor of 1422 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039761 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214056578?\nAnswer: 2, 113, 523, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2\/11)))**(1\/22) assuming b is positive.\nAnswer: b**(-1\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 118*w + 3535. Let g be t(-147). Sort 2, -2, g in increasing order.\nAnswer: g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 5 - (4 + -3). Let f be (-6)\/30 + (-22)\/(-10). Let w be -2 + (b - f) + 3. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/9 - 12624*k**2 + 75742*k\/3 - 113612\/9 = 0. What is k?\nAnswer: 1, 56806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 6*h + 5. Let o be q(5). Suppose 3*b = -0*b + 12. Suppose -8*u + 3*u - d = -16, -28 = -3*u + b*d. Solve o = -u*c + c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 21 + 34 = -c, -2*f - 4*c = -14. Solve -51 = -8*a - f for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -452 - 65. Let b be ((-6)\/3 + j)*8\/24. What is the common denominator of -63\/8 and (138\/(-24) - -6) + b\/(-260)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, u: 5, q: 1}. Give prob of sequence qx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -68 + 14 + 1 - (-24 + 19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87372008 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 7*w + 10. Let l be v(6). Solve 0 = -2*f - d + l, 0 = 5*f - 3*d - 5 - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1059\/4942)\/(4\/14)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*y + 58, 94 = 4*t - 8*t + 3*y. Let w be -1*2\/(-2)*-5. Let q be w\/1*35\/t. What is the highest common divisor of q and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13652 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 - -180. Suppose r*z = 4*y + 182, -2*z + 2*y + 172 = -0*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 44\/(-66) + 4991\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**2\/2 + 85*y + 1. Suppose 0 = a + 4*a. Calculate the remainder when l(a) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 8*v - 1008. Let o be q(28). Solve 0 = -0*g - 2*g - 10, -3*m + g - 10 = o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 72 (b) 0.1 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 10*u - 1. Let y be o(8). Let h = y + 47. Suppose -2*x = x - h. Calculate the highest common factor of x and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bdce3 (base 15) in base 12?\nAnswer: 251413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.06, -10 in decreasing order.\nAnswer: 3, 0.06, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2806 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, 0, -9, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 563?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:10 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/51 - (-669)\/51. Suppose -i*l - 4*g = -15*l + 1808, 2*g - 2712 = -3*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11.4, 0.3, -95.9 in descending order.\nAnswer: 3, 0.3, -11.4, -95.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.090854.\nAnswer: 0.0272562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319 by -1.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/132 and -65\/636.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-8))\/(2\/(-20)). Suppose h*m + 2 = -13. Let z be (m\/4)\/(1 + -2). What is the third biggest value in 0.1, 2\/7, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6 + 60\/(-9))*1*-6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - f, y + 0 = 5*f - 4. Suppose -s - 38 = -3*c, -60 = -4*c + 4*s - 12. Calculate the greatest common factor of c and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2482 divided by 4.\nAnswer: -1241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280934\/(14 + 5) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*30\/(-14)*3878\/6648*16\/(-15)?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 2\/497 (c) 2\/13 (d) 0.1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/((f\/(f*f**(2\/17)))\/f))\/(f*f**(1\/2)))**(-48))**(-1\/10) assuming f is positive.\nAnswer: f**(132\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (40\/6)\/10*6\/12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 232746.5 millimeters?\nAnswer: 23274.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*u + 303 = -4*u + 202*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179394 - 3.1?\nAnswer: 2179390.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 59755203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z. Solve -4*u - 5*n - 41 = -z*u, 5*u + 30 = -2*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvqqv. What is prob of sequence vqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 563626 at least 2818134\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6306*h. Let c(s) = -4*s. Give c(r(u)).\nAnswer: -25224*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(2*b + b + b)*(42*b**4 - 44*b**4 - 73*b**4).\nAnswer: 600*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 267*b\/2 + 533\/4.\nAnswer: (b - 533)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4655*u**3 - 241*u**2?\nAnswer: 27930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9831 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/139176695 and 37\/7.\nAnswer: 139176695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7424 - -7441. Sort 3, -3, n in descending order.\nAnswer: n, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53057022 divided by 807.\nAnswer: 65746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + z + 22144 = 0, -5*y - 12008 = -4*z - 34164. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2203, -1\/8.\nAnswer: -2203, -5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82290910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 + 17*r**3\/3 - 19*r**2\/2 + 16*r + 36. Let z be k(-17). Suppose -z - 1159 = -2*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.054 and 20809.\nAnswer: -1123.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -53, -167, -357, -641?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 362, 352, 342, 332, 322?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -27 (b) 0.3 (c) 4 (d) -1.7729 (e) -1 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5035 is divided by 2411.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, 1, 33 in increasing order.\nAnswer: -1, 1, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702430 to the power of 1\/2, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*o**2 + 38*o**3 + 14*o**2 + 2 + 22*o**2.\nAnswer: 38*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1184*d**2 + 38 + 2*d - 7*d + 23*d - 1185*d**2 + 2370*d**2. Give k(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*j**2 - 596*j + 3220.\nAnswer: -4*(j + 23)*(8*j - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*y = -2, -2*o - 15*y = -18*y - 2. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 83*f + 2. Let u be t(6). Let v be (-3065 - -5)*u\/3. What is v rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191800 by 1840.\nAnswer: 4795\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078111186 a multiple of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:50 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:56 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Suppose 3 = -v + 4*v. Let y(i) = -26*i - 7. Let w(t) = v*y(t) + 2*k(t). Is w(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 1. Let s be (-3)\/(-5) - (-42)\/5. Let i = -8 + 1. Let z = i + s. Give q(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 8, -110, 0, -3, 1 in decreasing order.\nAnswer: 8, 1, 0, -3, -5, -9, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2830070 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.5 plus -35966650?\nAnswer: -35966602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*z - 73*z - 12*z - 433*z**2.\nAnswer: -433*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-303*u**2 + 212*u**2 - 247*u**2)*(0 + 3 + 0)*(-2*u + u + 2*u) as m*u**2 + p + b*u + k*u**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/59)\/(j\/((j\/j**(1\/32))\/j))*(j**(-3\/2))**(5\/6) assuming j is positive.\nAnswer: j**(-4243\/1888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 18*s**2 - 16*s + 11. Let i(y) = y**3 + 9*y**2 + 8*y - 6. Let x(p) = -11*i(p) - 6*r(p). Let q be x(-8). Is 0 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 435.786 nanometers?\nAnswer: 0.000435786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 812*h*j**6 + 4*h*j**2 - 624460*h + 120*j**3 wrt j.\nAnswer: 97440*h*j**3 + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 50. Let t = -48.02 + 48. Which is the nearest to f? (a) 2\/3 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*l - 4*l. Suppose z + 2*z - f - 4 = 0, -3*f - 4 = -z. Let s be 16\/(z - -3) - 2. Solve -n - s = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (165\/20)\/(6\/40).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, e: 2, z: 6, a: 2}. What is prob of sequence aa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - x**5 + 3*x**5 + (0*x**4 - 2*x**4 + 0*x**4)*(5*x - x - 2*x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 479*k**3*s - k**3 - 86288*k**2 + 8388*k*s - 2*k + 17 with respect to s.\nAnswer: 479*k**3 + 8388*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 3*j**3 + j**3 + (4 - 2*j**2 - 4)*(-1 + 1 + j) + 2*j**3 + 0*j**3 - j**3 + 0*j**3 + j**3 + 0*j**3 + (2*j**2 - 6*j**2 + 5*j**2)*(2*j - 2*j + j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 2*m - 30, -5*y = 3*m - 70. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -451 + 469. Let i(a) = 88*a - 1. Calculate the remainder when i(1) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haha when four letters picked without replacement from {h: 4, a: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 263 = -w, -4*t + 6*w = 5*w + 211. Let x = 247 + t. What are the prime factors of x?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t**3*t)**(15\/7)\/(t**6\/t*t**0*t*t)**49 assuming t is positive.\nAnswer: t**(-9349\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722341695.\nAnswer: 5, 97, 9736787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223923934.\nAnswer: 2, 13, 173, 49783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 13*u**2 - 46*u - 26. Determine k(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.83542 millilitres?\nAnswer: 0.00983542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588411401.\nAnswer: 3, 911, 581197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11184.71 rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/72 - f**4\/36 - 99*f**2. Factor t(i).\nAnswer: -i*(5*i + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -17784200\nAnswer: -16005780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -61, -1.\nAnswer: -61, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 744904*q + 4 - 4 + 5603*q**4 - 749647*q wrt q?\nAnswer: 67236*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -21*2*(-1 + 2). Let u = 63 + q. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*v - 87*v - 21*v - 474 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g**6 - 22*g**2 + 0*g**3 + 2\/15*g**5 + 0*g - 2\/21*g**7 + 0*g**4 + 0. Find the third derivative of v(s) wrt s.\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2. Let x be v(1). Let d be 2\/(x\/(-3)) - -14. Suppose -10 = 9*c - 11*c. Solve -d = c*k + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54177 or -54178?\nAnswer: -54178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650829945?\nAnswer: 3, 5, 1567, 27689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66\/23 + 143\/138. Let a be (6 - (-3 - -5))*1\/(-4). Is a at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -605 in -1\/9, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 3. Suppose 4*q = -2*l + 7*q + 7, -3*q = 3. What is h(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 330\/2707919?\nAnswer: 330\/2707919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 0.1 (c) -297228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 235*s**3*x**2 - s**3 - 31*s*x**2 + 2183*s wrt x?\nAnswer: 470*s**3*x - 62*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**2 + 436*j - 436*j)*(-5 + 5 - j**2) - 2*j**4 - 3*j**3 + 3*j**3 + (j**2 + 3*j**2 - 3*j**2)*(-2 + 2 - 2*j**2).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + -a?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63784 + 106505. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/33*50\/(-3000)*30.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 20*x - 3*x)*(4*x**3 - 4*x**3 - 2*x**3) + (4 - 4 + 2*x)*(8*x**3 + 4*x**3 - 7*x**3) - 4 + 4 - 2*x**4.\nAnswer: 62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 311*x - 2193. Calculate o(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t**3 - 4*t**2 + 5*t - 24. Let b(i) = 12*i**3 - 2*i**2 + 3*i - 25. What is 3*b(k) - 2*p(k)?\nAnswer: 8*k**3 + 2*k**2 - k - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*j = 5, 0 = -5*k + 84*j - 87*j + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1483 and -259.2?\nAnswer: 1742.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13)\/(h\/h**(-3)) assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.2, -2\/3, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 12 - (-7376834)\/592520. Let y = 1\/14813 + q. Calculate the common denominator of 270\/(-28)*2\/(-6) and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -21*n + 16. Let k be r(9). Let j = -31 - k. Let w = -81 + j. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*k = -60, -v - 23 - 23 = 3*k. Let r = 73 + v. Suppose 0 = -2*l + r - 3. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -20*k - 11. Let g(l) = 9*l**2 - 2*l. Let s be g(-1). Suppose 0 = 6*q - s*q - 85. Let v(w) = 7*w + 4. Give q*v(x) - 6*p(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 832270983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 45802934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (35 - 26 - 8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887938 is divided by 312?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224069759*j**3 - 202*j**2 - 116*j - 77.\nAnswer: -1344418554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4100360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -64*z + 685. Let v(q) = -260*q + 2740. Let x(g) = 9*j(g) - 2*v(g). Find the first derivative of x(h) wrt h.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - 1) + (24 - (64 + -33)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(5\/3) - 1. Let u be -8*(1 + 5\/x). Determine a so that 0 + 1\/2*a**5 + 1\/2*a - 2*a**4 + 3*a**3 - 2*a**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + (-15)\/36. Let x = 1.398 + -1.698. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)*i\/((i*i*i**3)\/i))**8 assuming i is positive.\nAnswer: i**(-296\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 96710*i**2 - 138*i - 277. Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*10\/(-40)*-1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 - (-7 + 7)\/(-7). Let b be ((-3)\/(-3))\/((-7)\/7). Let f = 2 + -1. Sort n, b, f in ascending order.\nAnswer: b, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, 14680, 29675, 44670, 59665?\nAnswer: 74660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4 + 9.4. Which is the biggest value? (a) q (b) -2\/3 (c) -2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/120*10*2\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14)*-1*(-847)\/3509?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/5 + 55375\/625. Solve -90*w = -j*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 + 5*j - 118. What is a(0)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:55 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 96, 221, 396, 621, 896, 1221?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 4*h**2 + 28*h + 558. What is the least common multiple of 6 and b(0)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (196\/21)\/((-4)\/(-6)). Suppose p = -3*j + j - 5*k, -4*j + 4*k = -28. Solve -2*s - 25 = j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7416*j**2 + 20394*j + 67980. Let w(f) = 3*f + 10. Give -2*a(i) + 13596*w(i).\nAnswer: -14832*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239869174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 22, -1, -3, 5, 3262 in decreasing order.\nAnswer: 3262, 22, 5, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**6\/360 - u**5\/24 + u**4\/4 + u**3\/3 + u. Let t(y) be the second derivative of x(y). List the prime factors of t(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuuyyuyyyyyyyyyyyyu. What is prob of picking 4 u?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*h - 22, 4*h + 3*z = -0*z + 14. Let v(g) be the second derivative of -2\/3*g**3 + 1\/3*g**4 + 0 + 0*g**2 + h*g. Suppose v(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**2\/4 + 19*k\/4 + 3 = 0. Calculate k.\nAnswer: -12\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**4 - y + 10*y**4 - 6*y**2 + 3*y**2 + 0*y to x*y**3 + q*y + l + o*y**2 + k*y**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6570 and 584.\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 33 = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209152 by -76.\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5316)\/18)\/(4 + 14\/(-3)). Suppose -387 = -10*b + w. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.14 - -18. Let y = q - -0.04. Let x(u) = u**3 - 6*u**2 + 6*u - 4. Let f be x(5). Which is the closest to -0.1? (a) y (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 33*t**2 - 28*t + 1043. Give c(-35).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 3539294.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936140 divided by -5.\nAnswer: -387228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**5*x - 61*a**3*x**3 - 9*a**2*x**3 + 22*x**3 wrt a?\nAnswer: -360*a**2*x - 366*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/1155 - o**6\/110 - o**5\/110 + 4*o**4\/33 + 4*o**3\/11 + 2*o**2. Let h(y) = 0. What is y?\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = l + 58. Factor 30*u**2 - 25*u + 24*u**2 - 59*u**2 + l.\nAnswer: -5*(u - 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -128, -448, -954, -1652, -2548, -3648, -4958?\n\"Answer: -q**3 - 87*q**2 - 52*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474\/(-2133)*48\/22*(-3)\/4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f + 12. Let k be y(7). Suppose -3*c + k = 2, -5*c = 4*o - 97. Solve v - 8 = 3*d, 2*d - 4*v + o = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -17*c - 1728. List the prime factors of (-2 + 2\/4)*21744\/c.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(189)*1 + sqrt(189) + sqrt(189) - sqrt(189))\/(sqrt(27) - sqrt(162)\/(-2*sqrt(6)))*-6.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1.1 (b) -9 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*g**4 - 170*g**3*w + 219*g**2 + 38*g*w + 10*g - 71*w - 157 wrt g?\nAnswer: -204*g**2 - 1020*g*w + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -61, 1, -1\/4, -0.1, -75, 4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*r - 336111 = 411285, x = -3*r + 249122. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 15123866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-1 - 35) + (30 - 16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283.116 and -4.65.\nAnswer: 1316.4894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -155*u**2 - 94505*u + 122200.\nAnswer: -5*(u + 611)*(31*u - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9334.08 litres to millilitres.\nAnswer: 9334080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1238, 2421, 3604, 4787, 5970?\n\"Answer: 1183*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 4242.\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 + -0.09563777502\nAnswer: 0.15436222498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199272 by 8664.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 466, 1, -116, 3 in decreasing order.\nAnswer: 466, 3, 1, 0, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 t when three letters picked without replacement from {t: 14, z: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61379393*g*k**2 - 2545*g*k - 3*g + 2*k + 1381 wrt k?\nAnswer: 122758786*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 102*v**4\/5 - 88*v**3\/5.\nAnswer: 2*v**3*(v + 11)*(5*v - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10 = 2*b - 8, -5*p = 2*b - 16. Suppose 4*z + 2 = -4*a - 2, 0 = -z - 3. List the prime factors of (16 + -9)\/(p\/a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -1, 31, 107, 245?\n\"Answer: 3*m**3 - 5*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 6*t**2 - 3*t + 17. Let s be w(6). Let c be (2\/(-5))\/(s\/((-85)\/(-2))). Does 16 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12030 - -100?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -109*l**7\/210 + 3*l**4\/8 - 665*l**3\/6 - 11*l**2 - 176*l. Differentiate k(g) wrt g.\nAnswer: -436*g**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 369204442 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f + 6 = 0. Suppose 92 + 120 = f*r. Suppose r = 5*p - 69. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**4 - 15*g**2 + 10*g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 18*d + 6*d + 4.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 4*l**2 - l + 10. Calculate the remainder when 346 is divided by x(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -38676 and -116026\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -53678000 rounded to the nearest 100000?\nAnswer: -53700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020 + -1202221120?\nAnswer: -1202210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -2\/3, 10, 0.2, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*d = 4*i - 10, 0 = 2*i + 2*d - 20. Let t(q) = 2 + 2*q - q - 4 + q. Calculate the least common multiple of t(i) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3833121*t**3 - 293139*t**3 - 840031*t**3.\nAnswer: -4966291*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4\/3, 0.3, 15, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -4. Suppose g*b = 74 - 2. Calculate the greatest common divisor of b and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from heehhhhhhehehhhehh.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(2\/15)\/(b*(b\/b**(1\/6)*b)\/b*b*b**(-7)) assuming b is positive.\nAnswer: b**(617\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 - 3*r + 7. Suppose 14*l - 15*l - 4 = 0. Let d(g) = -2*g**3 - 17*g**2 + 7*g - 14. Let y(b) = l*d(b) - 7*h(b). Determine y(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4291+-1.6\nAnswer: -4292.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 3, 3412976.\nAnswer: -5, 0, 1, 3, 3412976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 810.5093l?\nAnswer: 810509.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/56 and 13\/260152.\nAnswer: 1821064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - (-5 - (-12 + 0)). Put -2, -10, h, 2 in descending order.\nAnswer: h, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1386.01143 + 1386. What is u rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 207 - 209 + 8*n.\nAnswer: 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1 - 4*x + 3*x - 8*x. Let n(j) = -j**2 - 177*j - 349. Let z be n(-2). Calculate b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012287 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/8 (b) 2 (c) -20 (d) 0.2 (e) 1\/4 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let s be (-4)\/34 + 6\/51. Suppose -i*q + 6 = -s. What is the greatest common divisor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p**3 - 13*p**2 + 10*p + 44. Let z(o) = 9*o**3 + 7*o**2 - 5*o - 23. Let x(h) = -2*n(h) - 5*z(h). Determine x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 205 - 201. Which is the closest to g? (a) 3 (b) 1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/13020 and 93\/220?\nAnswer: 143220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 1. Let x be o(-1). Suppose 0 = 3*n - 4*n + 1. Let q = n - 0. Sort x, q, -5 in decreasing order.\nAnswer: x, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4521 and 29\/86.\nAnswer: 388806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -53 - 229. Suppose 5*d - y = -t, 5*y + 41 + 29 = -5*d. Let x = d + 39. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.34 - -0.34. Let z = -22.5 - f. What is the closest to 1 in z, 4\/7, -6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-99) + ((-435)\/11)\/(-3). Solve l*n + 15 = 10*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 13 - 85 = 0. Let l be 3\/(-2 - -5)*8. What is the greatest common divisor of l and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttxuutuuxtttxut. Give prob of sequence xx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 25*m = 5. Which is greater: -3\/35 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 1, m: 2, y: 2, n: 1, q: 1}. What is prob of sequence yyqh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240103 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6\/(-1))\/((-30)\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)\/(-1)*-2. Let d be -1*((-4)\/n + -7). Which is the closest to 1? (a) d (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8076*u = 2466*u + 78540 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -6080829.\nAnswer: -77\/6080829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14484 = 108*x + 11157 - 20997 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29730 + 29729.99994159. What is l rounded to 6 decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784978069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 28. Let x be n\/4 - 6\/(-24). Let b be ((-100)\/(-6))\/(x\/36). What is b rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 6*b**2 + 7*b. Let p be v(-7). Differentiate 5*f + p - 3 - 3 + 2 wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/3 (b) -0.3 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-32))\/(6\/4) - 190*15\/(-9000).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v, 7*o + 2*v = 6*o - 6. Is (137*53)\/(o + 13 - 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16709 divided by -3\nAnswer: -16709\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*a = 817*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -4\/7, -17, 381, 20?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**8\/168 - i**7\/21 + 3*i**6\/20 - 7*i**5\/30 + i**4\/6 + 10*i**2 + 76. Find r, given that g(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w - 6. Let f be x(7). Suppose 0 = b + b - f. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3\/5, 1\/126, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 - 4 = -4*z, 2*w + 4 = 4*z. Let l(m) = z*m - 2*m - 3*m - 22*m**2 + 23*m**2. Suppose -15 + 3 = -3*x. What is l(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -87 - 38 - 64?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 2*v**2. Let a(o) = -11*o**2 + 3*o**3 + 6*o**3 + 0*o**3 - 3*o**3. Give -6*a(q) + 33*s(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 78.2. Which is the nearest to -1? (a) s (b) -8\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 260, 595, 1076, 1709, 2500, 3455, 4580?\n\"Answer: r**3 + 64*r**2 - 4*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 11) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + 100\/(-12) - (-46)\/(-6). Let v = 1158 + -1786. Is 1*s*v\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((2\/7)\/(45\/(-63)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 932 and 478324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8442\/(-402)*1\/9.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/((-16)\/(-1744)) + (-64)\/(-80)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(38)\/(-1*sqrt(2)))*5)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 46*x + 47. Let y be i(-22). Let o = -7 - -4. What is the third biggest value in y, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 10*t - 73. Let j(v) be the second derivative of 0*v**2 - 1\/30*v**t + 0 - 2*v - 1\/6*v**3 - 1\/4*v**4 - 3\/20*v**5. Factor j(w).\nAnswer: -w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841012309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 - 981167224502?\nAnswer: -981167224183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/370 and -59\/50?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/14)\/t*t**(1\/7) assuming t is positive.\nAnswer: t**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 6. Let l(g) = g - 1. Let u(j) = -c(j) + 3*l(j). Let o(n) be the third derivative of n**5\/60 + 509856*n**2. Calculate u(o(t)).\nAnswer: 6*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432 is divided by 77?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7287 times 3.1\nAnswer: -22589.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o - 3. Let z be u(4). Let s = z - 1. Suppose i + 2*d + 3*d + 21 = s, -11 = i + 3*d. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 431 + -430. Calculate the smallest common multiple of 1883 and c.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 11*l**2 + 5*l**2 - 409*l**3.\nAnswer: -409*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 577*q**3*t**3 - 236129*q**3*t - 3*q**2*t**3 + 4*q**2*t**2 + 2*q**2*t - 3*q - 2037*t wrt q?\nAnswer: 3462*t**3 - 1416774*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or -13972305?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20604 is divided by 20592?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 12) in base 2?\nAnswer: 101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11070 and 1395.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2. Let k(f) = -120*f**2 - 180. Let s(t) = -t**2 - 2. Let x(p) = k(p) - 90*s(p). Give x(o(h)).\nAnswer: -270*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Let d = a - 1. Suppose r + 4 = -3*j, -j - j = -d*r. Is 2\/5 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*y - 5*y. Let m(r) = r. Let x(z) = z + 1. Let l(g) = -2*m(g) + 3*x(g). Let j be l(y). Solve 2*t + 6*d - j*d - 5 = 0, 0 = 4*d + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 984704 - 984704 - z - 762*z**3.\nAnswer: -762*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.4 + -7. Which is the biggest value? (a) d (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-9)*(1722\/(-42))\/(-246)*-1?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 171 = -8*x + 3*x, u = x - 36. Let y = -31 + x. Suppose y*g - 62 = 56. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - -220. Let k = i - 295.99999726. Round k to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from uuuuuzzzzu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 5, 1, -1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 0, n + 0*f - 2*f = 3. Suppose -n*v + 8 = -7*v. What is the nearest to 0.1 in 1, v, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p + 10*p + 11*p + 11*p - 57*p + 13*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -743 or -6682\/9?\nAnswer: -6682\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-15030)\/240)\/(-167)*120\/1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006765 is divided by 531.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28628619 is divided by 18482.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 653.9304 tonnes?\nAnswer: 653930400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.4 - 44. Let q = -8 - l. Which is the second smallest value? (a) -3 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -314991371 or -314991367?\nAnswer: -314991367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1510 = -0.89401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*4\/(-98) + (-40068279916)\/(-98). Round m to the nearest one million.\nAnswer: 409000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-20))\/(1\/(-5))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {a: 1, f: 3, o: 2, p: 6, y: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -68882440 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = 24. Suppose -d + 0 = 2*c. Let y be 28\/(-6) - (-4)\/(-12). Sort c, 1, y in decreasing order.\nAnswer: 1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 729 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 11*f + 6*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0786376 to three dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 3. Let d(c) = c**3 + 2*c + 3. Let a be d(-2). Calculate o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31517948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*p**4 - 336*p**3 + 60*p**2 = 0. What is p?\nAnswer: 0, 2\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664 and 25004248?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Suppose 136 = 6*k - 218. What is the common denominator of k\/c*(-18)\/24 and 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h - 28. Let c be h\/(-3)*(-9)\/54. Does 0 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19455 - 19431. What is the greatest common divisor of 8232 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4420123 decades in years?\nAnswer: 4.420123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49a - 25?\nAnswer: -4bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 106874 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**3 + 24*c**3 - 15*c**3 + 4*c - c**3 - 4*c + (1 - 1 - 13*c**2)*(-40 + 40 - 24*c) to the form a*c + v + n*c**2 + d*c**3 and give d.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1*i*i)**(-2\/5)*(i*i*((i*i*i*i*i**(-1)*i)\/i)\/i)**(5\/4))**13 assuming i is positive.\nAnswer: i**(273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7111\/9468 - -5\/4734. Let o = -1020 - -64258\/63. Which is the nearest to 1? (a) o (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.35, 1\/7, -3, -2\/15, -1\/39 in descending order.\nAnswer: 1\/7, -1\/39, -2\/15, -0.35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 100*k**3 - 780*k**2 - 160*k + 4160.\nAnswer: 5*(k - 26)*(k - 2)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149434449 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 23*u**2 + 19*u - 11. Let v(a) = -2*a**3 + 12*a**2 - 10*a + 6. Let w = -112 - -101. Let c(q) = w*v(q) - 6*n(q). Let c(d) = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/30 + 11*s**4\/12 - 1235*s**2\/2 - 492*s. Find the first derivative of q(v) wrt v.\nAnswer: -4*v**3 + 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.20868 and 0.14.\nAnswer: -0.06868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321554.\nAnswer: 2, 43, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 12. Let y be 3*(48 + -37 + -10). Factor -4\/3*i**y + 2\/3*i**5 + 0*i**b + 2\/3*i + 0 + 0*i**2.\nAnswer: 2*i*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -18. Let h be f\/4 - (-76)\/8. Let g be 7\/3 - 1\/3. Solve -g = -2*q - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 691*a*k**3 + 65*a*k + a - k**4 - 1555052 wrt k?\nAnswer: 2073*a*k**2 + 65*a - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from zzuzzzzuzzzzzzzuzz.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 4*h**2 - 6*h**3 + 0*h**2 - 9*h**3.\nAnswer: -16*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 7. Suppose 2*d - 41 = -0*d - 3*f, 0 = -2*d + 2*f + 16. Suppose y = 2*p - d, 0*y + y + 4*p - 11 = 0. Let m be r(y). Solve -4*j - 4 = -m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 492626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, 225, 9.\nAnswer: -2, 2, 5, 9, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76173 greater than 77000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 - 12*g**2 - 8*g + 10. Let d(p) = -p - 8. Let l be d(-9). Let j(y) = y**3 + y + 1. Let o(t) = l*z(t) - 10*j(t). Factor o(v).\nAnswer: -2*v*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/10 (b) 0.08 (c) -0.3 (d) -4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:17 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5*46\/((-6900)\/270)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7677 + 35722. What are the prime factors of d?\nAnswer: 5, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -279.2 (b) 5 (c) 1282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23609161 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0 - 4 + 4 + 4 - k. Let n be u(7). Let l be 1\/n + 4\/(-6). Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*w - 50, -315*t = 4*w - 623*t + 309*t - 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 182916967 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -32, -34, -36?\n\"Answer: -2*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -33*c**2\/2 - 6*c - 5. What are the prime factors of b(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046111 less than 1046115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -14. Let v(u) = 10*u**2 + u + 1. Let c be v(d). Calculate the highest common factor of c and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2317387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x + 3. Suppose -u + 6 = -v, -2*u - 3*v = -3*u + 6. Let z be r(u). Is ((-2)\/6)\/((-1)\/z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.047 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 14*y - 18*y. What are the prime factors of (-138)\/y + 4\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + 1)*3.\nAnswer: 12 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 80 = 2*p, -2*p + 186 = 3*p - 3*g. Let h(s) = -10*s**2 - 88*s + 13. Let w be h(-7). Suppose 5*z - 4*i = 166, -3*z - 3*i + w = z. Is z > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = -3. Suppose 3*q - 2 = -4*s + p, 0 = q - 4*s - 3. Let w = 0 - -2. Solve w*m = -q*d - 15, 3*m + 3*d + 3 = 5*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/21 + 220*x**2\/21 - 832*x\/3 - 1792\/3 = 0. What is x?\nAnswer: -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 19 = -3*x, 12*x - 17*x - 2*t = 53 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*q + 2)*((2 + 3 - 4)*(0 + 0 - 1) - 3 + 4 + 2)*(-4 + 3 + 3).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.3 - -7.4. Which is the closest to o? (a) -2 (b) -5\/6 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.2273551 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 78. Let o be 400\/18 - (33\/27 - 1). What is the greatest common factor of o and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 7*p - 19. What is n(-9)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 11. Let y be g(4). Suppose -28*n + 25*n = -y. Let u = -0.2 + 0.7. Which is the smallest value? (a) u (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 8. Let p(x) = -2*x. Give s(p(t)).\nAnswer: -8*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**5\/25 + 17*n**4 - 342*n**3\/5 + 514*n**2\/5 - 343*n\/5 - 1308. Factor k(h).\nAnswer: (h - 1)**3*(h + 343)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 4100. Suppose h - 2*h = 0. Suppose 0 = -4*a - 4, -4*a - 4 = 5*t - h. Let m be l(t). Round m to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3))**(-35) assuming g is positive.\nAnswer: g**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1120.224157 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 400. Suppose h = 4, -5*w + 409 = 2*h + v. Suppose p - 5*l - 32 = 0, -4*l + 289 = 4*p + w. Is p a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g\/g**(-9)*g*g\/(g*g\/(g\/(g\/(g*(g*(g*g\/(g\/((g**4\/g)\/g)))\/g)\/g*g)*g)*g*g)*g)*g\/((g*g**5)\/g))**(1\/63))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2267*m + 2277*m - 4542*m - 4 - 2 - 3.\nAnswer: 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**2 - 3990*w + 3985 = 0.\nAnswer: 1, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 264528587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 1. Let s(u) = -u. Let o(w) = -w**3 + 2*w**2 - w + 8. Let y be o(3). Give y*s(j) + c(j).\nAnswer: 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - 8\/4 - -1. Let p be ((-2)\/h)\/((-5)\/(-20)). Let x(f) = 11*f. Let b(a) = -16*a. Let c(m) = 5*b(m) + 7*x(m). Give c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110345462?\nAnswer: 2, 61, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 70 - 82 = 0. Find the third derivative of -31*a**3 - 47*a + 3*a - 2*a**5 + a**5 + l*a + 2*a**2 wrt a.\nAnswer: -60*a**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 117*k + 5. Let g(p) = 234*p + 12. Calculate -7*c(b) + 3*g(b).\nAnswer: -117*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 7*m**2 - 16*m + 18. What is the smallest common multiple of 8 and a(10)?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 - -187. What is the third smallest value in o, -2\/15, 0.4, -1.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1489741, 2979483, 4469225, 5958967?\n\"Answer: 1489742*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 - 136. Suppose 4*d - 19 = 3*s, -5*d + s + 9 = -3*d. Suppose -5*r - 4*f + 55 = -3*f, -d*r + 5*f = -15. What is the remainder when r is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-24))\/((-507)\/(-338)). Which is the closest to 54? (a) q (b) 1 (c) -4\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103240 (base 5) to base 12\nAnswer: -2096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 1\/3 (c) 1\/10 (d) -31\/17 (e) -2\/29 (f) 1 (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2655 (b) 0.2 (c) -46 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -34*k - 5. Determine j(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44222 - 3561?\nAnswer: -50003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 207308, 414616, 621924, 829232, 1036540?\n\"Answer: 207308*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + b + 17*b + (0 + 4 - 5)*(6*b - 4*b - 3*b))*(-2*b**4 - 4*b**4 + 4*b**4 + (-1 + 1 + 2*b**2)*(6*b**2 + 0 + 0)).\nAnswer: 110*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:38 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, -1, -9, 2.\nAnswer: -13, -9, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7445000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r - 17. Suppose -2*b - 2 = 16. Let g be z(b). What are the prime factors of (-2 - 553\/(-5)) + g\/(-20)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = -3*k + 5*z, k = -z + 1. Suppose -2*l - 3*x + 84 = 0, 2*l - 2*x - 104 = -k*x. Calculate the remainder when 150 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301 + 610 + 42*w**2 - 50*w**2 - 309.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215\/(-645)*1845\/(-41).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 466533, 4 in increasing order.\nAnswer: -5, 4, 466533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 0 + 1304 + -1285\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 50, 3, -26 in decreasing order.\nAnswer: 50, 3, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 2. Let b be y(2). Suppose 7*c**3 - c**b - 4*c**3 - 2*c**3 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*o - 0*z - 21, 15 = 4*o - 3*z. Solve 3*k - o = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r - 5. Suppose -23*c + 128 = -7*c. Let p(a) = -11*a - 8. Give c*q(g) - 5*p(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5003 = i, 3*m = 6*m + 2*i - 14994. What is m rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -416368823 + 4?\nAnswer: -416368818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 75, -124\/11, 0.5, -2?\nAnswer: -124\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 13 - 6) + 4 - (25 - -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 20.80079006\nAnswer: 20.60079006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.122485615 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let j(x) = 75807494*x**2. Give q(j(n)).\nAnswer: 11493552293120072*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 0, -40, -112, -222, -376, -580?\n\"Answer: -n**3 - 7*n**2 + 14*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1920726 divided by -18.\nAnswer: 106707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0306767 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/2, -9, -10\/27.\nAnswer: -9, -10\/27, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 4439292 = 2*b + 1322909. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - ((-3)\/6 - (-79322)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/12 - 4\/(-4). Suppose 27*o - 22*o - 4*b - 86985 = 0, 0 = 3*o - d*b - 52183. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2799 and 1065797?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 2*z**2 + 3*z. What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/7 + 54960*s\/7 + 477874 = 0.\nAnswer: -27419, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -83. Suppose 6*b = 5*b + s. What is the lowest common multiple of b and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 2189 = 89. Solve 0 = -5*m - 210 + t for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58379 is divided by 29166.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*y + 3*i - 6, 2*y = -3*i + 6. Solve y*o = 4*w - 13 + 2, 5*o + 28 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 + 21*z + 9. Suppose -3*g + 171 - 51 = 0. Let m be ((-6)\/(-15))\/((-2)\/g). What is the units digit of k(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 31. Let s(l) = -7*l**2 + 10*l - 5. Let a(r) = -6*r**2 + 12*r - 6. Let t(o) = -5*a(o) + 6*s(o). Calculate t(h(p)).\nAnswer: -12*p**4 - 744*p**2 - 11532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -258 (c) 0.1 (d) 0.3 (e) 618 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2 - (0 - 2)). Put -1, -22, c in decreasing order.\nAnswer: c, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -22*u**3 - 7*u**2 + 4*u. Let w(m) = -11*m**3 - 4*m**2 + 2*m. Calculate -4*d(y) + 7*w(y).\nAnswer: 11*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.07 - 29.17. Which is bigger: 2802 or j?\nAnswer: 2802","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2)*330\/275)\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r**1)\/(r**(2\/7))**(-1\/11) assuming r is positive.\nAnswer: r**(464\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*o**3 + 1827*o**3 - 21 + 21 + 952*o**3.\nAnswer: 3125*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*w, -5*q + 2 = -w + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 425*i + 7650. Determine o(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710988490 to the power of 1\/2, to the nearest integer?\nAnswer: 26664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3949805004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-3)\/12*-1*-4*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/2 - 85*a**3\/3 + 63*a**2 - 380. Find the second derivative of g(t) wrt t.\nAnswer: -12*t - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + ((-2)\/3)\/((-8)\/2172). What is the greatest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -5.2. Let b(s) = s**2 - 2*s - 5. Let k be b(4). Suppose -k*i = -6*i - 4*i. What is the closest to i in -4, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304)*-1)**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.3 - 229.3. Let t = i + 219.62. Let g = -1.12 + t. What is g rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 262\/(-87))*(10300 - 10306).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 227.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(24)\/sqrt(3)))\/(1*sqrt(900) - sqrt(900) - sqrt(900)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 627749157 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 126*p**2 - 66*p - 2772. What is f(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 (base 7) in base 15?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32996)\/(-10) + (-21)\/35. Suppose -4*b = -v + 675, -b - i = -v - 4*v. Suppose 4 = -4*t + 8*t, 0 = 2*o + t - v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (27 - -19) + 28?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 7:48 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let b be ((-5)\/3)\/((-3)\/9). Let k(m) = m - 11. Let a be k(b). What is the remainder when 16 is divided by g(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145515 is divided by 48498?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 4 (b) 1\/6 (c) 9 (d) 18\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 6.01. Let t = -6.1 - c. Let x = t + 1.1. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*s = -310*s + 943*s + 69190 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 9*s + 39. Let k be w(-12). Let a be (4\/k)\/((-6)\/(-18)). Solve a*y = -4*g + 4, 2*g + 21 = -2*g + y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3559 divided by -4\nAnswer: -3559\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b*b*b**(1\/4)\/b)\/b*b))**(-32)*b**(-4)*b**2*b assuming b is positive.\nAnswer: b**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 - 2*u - 2. Let i be c(2). Let s be 3\/((-47)\/2 - i). Let r = 8 + -9. Is s >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 - 2*w - 17. Let p(q) = 3*q**2 + q + 9. Determine 5*p(v) + 2*u(v).\nAnswer: 3*v**2 + v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:58 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 + 10*y**3 - 2*y**3 + (y - 2 + 2)*(-78 + 3*y**2 + 78) + 2*y**3 - 2*y**3 - 8*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -912.4\nAnswer: 11861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.1. Let z = 5511.7 + -5512. Which is the nearest to o? (a) 3 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (179 - (-15 + 31)) + -10 - 10) + -16?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 14*c - 9. Solve u = -0 - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -27 (c) -6 (d) 166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4) + sqrt(8))**2 + sqrt(22)\/(3*sqrt(11) + sqrt(11)) - (2 + sqrt(2) + -1 - -3*sqrt(162)).\nAnswer: -111*sqrt(2)\/4 + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60858.52 litres to millilitres.\nAnswer: 60858520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwe when four letters picked without replacement from {y: 2, w: 9, x: 2, e: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17394 or -18380?\nAnswer: -17394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -22 + 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (978\/(-8))\/((-18)\/24). Find the third derivative of 92*p**2 + 3980*p + 50*p**2 - s*p**6 - 3980*p wrt p.\nAnswer: -19560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2 + (-2)\/4. Suppose 4*o = -3*b + 7 + 3, -b = -5*o + 22. Let w = 4 - b. Solve -5*r - w = -q*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 0 + 54 + 7. Let d = j + 181. What are the prime factors of d?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -17. Let x = u + -23. Suppose -24 - 41 = -d + 2*c, 2 = x*c. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1028604 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1461 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -235.9. Let f = 93 + i. Let u = 0.3 - f. What is u rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.255 (c) 577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = m - 34, 0 = -14*m + 11*m + 18. Solve 0*u - 25 = 5*x - u, -2*u = -x - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*k + 3*p + 4 - 8, 5*p = 20 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**4\/5 + 92*j**3\/5 - 86*j**2\/5 - 352*j\/5 - 168\/5 = 0. What is j?\nAnswer: -1, -2\/3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 38 = 32 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.79 and -0.7094.\nAnswer: -1.4994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6258 + 6254. What is the nearest to 4 in -1, p, -2\/441?\nAnswer: -2\/441","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 9*x**2 - 7*x - 10. Let y be c(7). Let b = y + -34. Suppose -w - 12 = -b*w. Solve -w*m + 0*o + 5*o = 8, 3*o = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66240 and 1725?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -20\/9, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-24))\/(4\/64). What is the second derivative of -5*s - 4*s**4 + 4*s + 5*s + 29*s**h wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 7*b**5\/20 - b**4\/12 + b**3\/3 - b**2\/2 - 2*b. Let m be (2\/(-6))\/(7\/(-21)). Does 6 divide i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079447 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times 4048851?\nAnswer: 117416679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p - 1. Let o be z(1). Let x be (1 + -3)*(-2)\/4. Does 3 divide -3*(-2 - o - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/7))**(9\/5)*(v*v**5)**(3\/8))**(-41) assuming v is positive.\nAnswer: v**(-26199\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 6*r + 2. Let z be c(6). Suppose -2*i + 4 = 4*s - 4, -z*i + s + 3 = 0. Let t be i\/(-4) - (-11)\/2. Solve 3*h = -2 + t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90820758 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-3)\/(6\/1). Let g(w) be the second derivative of q*w**5 + 0*w**4 - 1\/6*w**6 + 0*w**2 + 0 + w + 5\/6*w**3. What is the second derivative of g(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1957.12kg?\nAnswer: 1.95712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3444\/224 + (-6)\/16. Let f(g) = g**3 - 17*g**2 + 31*g - 17. Let x be f(u). Put -5, x, 15 in decreasing order.\nAnswer: 15, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 4. Let c be w(0). Let x = c - -6. Suppose -29 = -5*u + k, u + 2*k - 7 = -x*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.86 - 1.36. Let f = 173 + -518\/3. Let o = -3.9 + -1.1. Which is the nearest to 0? (a) o (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 - -0.07. Let d = 1205953429\/404 + -2985031. Let l = -1\/101 - d. Which is the closest to 1\/2? (a) t (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9389911, -9389909, -9389907?\n\"Answer: 2*z - 9389913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 4.4. Let m = s - -4.36. Let p = m + -0.26. What is the third biggest value in p, 2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -503695 < -503701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 2\/21 (c) -1\/6 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 + 1.9. What is r rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 15 - (3 + 3 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrfffffrfr. Give prob of sequence rrz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 1155*m**2\/2 - 37269*m.\nAnswer: -3*m*(m + 82)*(m + 303)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + t - 7 + 1, -u - 5*t = 6. Let d = -0.77 + -5.8. Let l = -6.6 - d. Which is the nearest to l? (a) u (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2465490?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 40. Let q = 72.6 - p. Which is the nearest to -1\/2? (a) q (b) -3\/7 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 18*z**2 + 20*z - 28. What is the tens digit of w(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791705?\nAnswer: 5, 158341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -15*y + 1063. Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.35 - 0.35. Put t, -5, -0.2, 8 in descending order.\nAnswer: 8, t, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpnpkypplpyynul. Give prob of sequence ykl.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(-q - 3 + 3) - 2*q + 0 + 0 - q - q + 9*q)*(-2 + 3 + 2)*(-5 + 1 + 3)*(26 - 17 + 28)*(0 - 1 + 3).\nAnswer: -1332*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/961584 and -101\/4186?\nAnswer: 6731088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*f**3 + 40*f + 2*f**5 + 16*f**4 - 48 - 61*f**3 + 28*f**2 - 5*f**5 - 23*f**3 + f**5.\nAnswer: -2*(f - 3)*(f - 2)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(5200) + 2 + ((sqrt(52) + sqrt(156)\/sqrt(3))*-4 - (1*sqrt(52) + 4 + sqrt(52)))))**2.\nAnswer: 6000*sqrt(13) + 1170100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250123819 to the power of 1\/2, to the nearest integer?\nAnswer: 15815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2148543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229*z = -3818*z + 1494*z - 191862 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50 * -10902.547\nAnswer: -545127.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*k = -5*k - 8, 5*b + 5*k + 10 = 0. Let x be (b - 464\/(-120))*-1. Factor 0*c + x*c**4 + 4\/15*c**2 + 0 - 2\/5*c**3.\nAnswer: 2*c**2*(c - 2)*(c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69813 = 5*f + b, b = 3*b + 4. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33384, 0.3, 184?\nAnswer: -33384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82 - 0?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12292 is divided by 1618?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-160)\/(-15) + -12)\/((-6)\/(-8474)). Is -1882 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/(-14))\/(260\/(-1820)). Suppose 2*f + f = 264. Let d = 132 - f. Calculate the greatest common factor of o and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 9*h**2 - 7*h**2 + 0*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 2, q: 3, r: 2, f: 2, y: 2, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 57 = -42, 4*j - 5*u - 35 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + 3 + (-2 - 2). Suppose -a*i = -4*i - 52. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 - 173*j**4\/3 - 922*j**3 - 8572*j**2\/3 - 2952*j - 960 = 0. What is j?\nAnswer: -30, -24, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26286 is divided by 184.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -9\/20, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-35) - (3 - (-66)\/5). Let o(v) = -2*v - 5. Let w(t) = -t - 3. Let q(d) = -2*o(d) + 5*w(d). What is the remainder when 30 is divided by q(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*p**3 + p - 159*p**3 + 0*p - 44*p**3 as n*p + o + h*p**2 + m*p**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 936 = 2*k, -k = v + 640 - 168. Let i = 32 + v. Is i\/(-8) + 2\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 164623*m**4 - 164201*m**4 - m**3 + 2 to the form v*m**2 + c + a*m**3 + n*m**4 + j*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.14 and 0.0163109769251?\nAnswer: 0.1563109769251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(22700\/(-1260) - -18). What is the highest common factor of y and 20181?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -q + i, 0 = 5*q - 4*i - 25. Suppose n - 16 = -q. Let a = 13 + -7. What is the least common multiple of a and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 56079432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - (-1 - 2). Let f be 1\/3 + (-636026)\/(-3). Suppose -4*y = -3*t + f, 15928 = -n*y - 2*t - 143066. Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -369*s**2 - 372*s**2 + 737*s**2. Let o(x) = 34*x**2 + 1. What is o(r(l))?\nAnswer: 544*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6 >= 28536047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878030 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 17*p**2 - 16*p - 8. Let q be c(16). What is the lowest common multiple of 12\/q*(-8)\/3 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -4.11. Round d to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-13) + 2 + 201\/39. Let i(w) be the second derivative of -a*w + 0 + 0*w**2 + 2\/3*w**3. Let c(q) = -2*q. Give c(i(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*v**2 - 417 + 417)*(3*v + 0 + 0) as x*v + q + s*v**2 + d*v**3 and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10629\/(-3543))\/(3\/(-93))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*c - 245465, -45*c - 245490 = -5*k - 44*c. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18364001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 88*y**2 - 39*y**2 - 47*y**2. Suppose 8 = 5*h - 12. Let i(v) = 0*v + h*v - 3*v. Calculate i(b(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/5)\/((-5)\/(-25)). Let d(h) = 4*h**3 + 4*h**3 - 3*h**2 - h - 3*h**3 - 4*h**a - 2. Give d(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*j - 4920 - 4761 = -1725. What is the lowest common multiple of 208 and j?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044118 to the power of 1\/2, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*c**5 - 28*c**5 + 818*c**2 + 165*c**6 - 24*c**5 + 668*c**2 wrt c?\nAnswer: 19800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4 - (-1 - (-3 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -1701.7934291923.\nAnswer: -1701.7634291923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/5, -4\/5, -25 in ascending order.\nAnswer: -25, -4\/5, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - a**3 + 0*a**3 + (-3*a - a**2 + 3*a)*(4*a - a + 0*a) - 3*a**3 - a**3 + a**3 in the form q*a**3 + y + k*a**2 + c*a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(2\/(-2) - -2). Let k = -6 + 5.6. Let f = 5.8 - 6. Which is the closest to f? (a) x (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3719494 - 3719494 - 84*v**2.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/(-18) - (2 - -3). Sort f, 3\/4, 3.8 in increasing order.\nAnswer: f, 3\/4, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -29520, -0.3, -2\/59, 38?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 3*t**3 + 6*t**3)*(-5*t**2 + 5*t**2 + t**2) + (19 + 71 + 52)*(-54 + 5*t + 54)*(-t**4 + t**2 - t**2).\nAnswer: -708*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 25*u**2 - 161*u + 27. What is m(-15)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2661, -5333, -8013, -10701?\n\"Answer: -4*s**2 - 2660*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27887\/1130 smaller than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9094746?\nAnswer: 2, 3, 1515791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -74*k**2 + 382*k + 120. Let z(o) = -15*o**2 + 77*o + 24. Let l be 32 + -27 + -2*1. Let w(c) = l*v(c) - 14*z(c). Factor w(h).\nAnswer: -4*(h - 6)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.07 (c) -10067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10894\/17 - -641. Is 0 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 139 = -3*i + 530, 3*v - 297 = -i. Let w = 110 - v. Find g such that 2*g**3 - 4*g**2 + w*g + 3*g**3 + 4 + 12*g**2 - 3*g**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = z + z + 44, -48 = -2*h + 3*z. Round h to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -12. Suppose 32 = a - d. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 10*q + 11 = r, 5*r - 3*q = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*x - 113 + 26. Which is the third smallest value? (a) x (b) 3\/5 (c) -49 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -15 - (2 + 2). Put -5, 0.4, v in decreasing order.\nAnswer: 0.4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1072 != -1072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41413 + 134304?\nAnswer: 231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -49, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 11*n**2 + n - 3. Suppose -2*f = -j + 5*j - 42, 0 = j - 2*f - 13. Does 4 divide q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/(-28)*854\/244\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) + sqrt(132)*3 - sqrt(132)) + sqrt(132) + sqrt(132))*3 - sqrt(132))\/(sqrt(432)*5).\nAnswer: 17*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhhhhhhghhhhhhhhh. Give prob of sequence hh.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -48, -46, -44, -42, -40?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/3)\/((-3)\/99).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 - 2 = -4*v, b - 1 = 2*v. Suppose 3*q - 3 + 15 = v. Let o be (-4)\/(-16) + (-15)\/q. Solve -3*h + 17 = -0*h + o*f, 2*f = 2*h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 12 - 11 + 47.\nAnswer: 6*x**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11*g)\/(g**7\/g*g))**(-25) assuming g is positive.\nAnswer: g**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 239831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/199, 0.4, 2\/7, 2\/13, 0 in increasing order.\nAnswer: -3\/199, 0, 2\/13, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 45848 = -4*w, -29*w + 5*j - 57350 = -34*w. What is w rounded to the nearest one hundred?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2. Let j(f) = 3*f - 20*f**2 - 3*f + 18*f**2. Calculate r(j(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 12477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2464142 milligrams in tonnes?\nAnswer: 0.0000000002464142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23596 is divided by 6885.\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b0 (base 12) to base 4\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-2\/9))\/w**(-6\/23)*w*w**10*w*w*w\/(w\/(w*w**(-2\/9)\/w*w)))**(-5\/3) assuming w is positive.\nAnswer: w**(-1870\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**3*p*p*p)**(-21) assuming p is positive.\nAnswer: p**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzbb when four letters picked without replacement from pxbxbbgbnnxz?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 + 4565*u**2 + 1 - 4567*u**2 + u + u. What is a(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133043586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - s. Let x = 11 - 9. Let d = x + s. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23.3, 0.4, -5\/9, 3?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752211 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a factor of 8279119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 22. Solve 3*c = -2*f - 7 - 0, c + v = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 319 and 29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 7*c**6\/120 + 3*c**5\/20 + c**4\/16 - c**3\/12 - 7*c. Let r(l) = 0. Calculate l.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 433.\nAnswer: 3\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65*(-3)\/9 + (98 - 80)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-4))\/7*(-2)\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246a (base 12) in base 10?\nAnswer: 45586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 1, 5, 272632?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/21 and -19\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -355636?\nAnswer: 355625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a**2. Suppose -80*s + 2629125 = -35*s. Let l(v) = 15*v**2 + 58425 - s. Determine l(p(y)).\nAnswer: 2535*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 3*t = -3*c + 11*c, c = 2*t + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 264619454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3442, -13775, -30996, -55105?\nAnswer: -86102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*a**5 - 3*a + 3*a - 62*a**5)*(-5 + 2 + 5).\nAnswer: -702*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*c - 3*v - 5, 0 = 2*c - 4*v + 16. Let g = c + 14. Solve k - 15 = -g*h, 0 = 4*h + k + 2*k - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - -0.1. Let m = -0.7205 - -0.0205. Which is the nearest to m? (a) j (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -1, -28, 76, -2\/9.\nAnswer: -28, -1, -2\/9, 76, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p + 9*p. Suppose -5*h + 125 - 16 = 4*y, -3*y = -p*h + 62. Let o = h - 15. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -6. Let u = 145 + v. Suppose u = d - 105. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1076 at most as big as 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 137.\nAnswer: -5\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -113300 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from {p: 1, h: 7, n: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times -63681?\nAnswer: -2483559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631386.8 millimeters to meters.\nAnswer: 631.3868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 103 = 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 - 203. Which is the closest to -0.28? (a) 0.4 (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9619 + -0.2349. Let p = -2.6136 - d. Let z = p + 0.0006. What is z rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 806502 - 429059237\/532. Let j = f - -3\/76. Is j less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37080?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.02 - 34.42. Sort 15, c, -4, 0, -2 in increasing order.\nAnswer: -4, -2, c, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*j + 3857 - 3857)*(-3*j**2 + 2*j**4 + 3*j**2).\nAnswer: -54*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -v + 25, 0 = -v + 3*v + 738*o - 736*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-10 - -3) - 3. What is the greatest common divisor of n and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-6 - (-6 - 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4308, 4502, 5016, 6012, 7652, 10098, 13512?\n\"Answer: 27*b**3 - 2*b**2 + 11*b + 4272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1900950*z**3 + z - 40671453 wrt z.\nAnswer: 5702850*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244769 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10750 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/240 and -14\/255.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 515293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -633.89 + 635. Which is greater: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 + 1 - 1 + 8*h.\nAnswer: 8*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 14*t**2 - 5*t - 13. Determine y(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 13*u**2 + 28*u + 14. What is z(-10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -23. Let x be (-4 - -2)*((-117)\/(-18) - 8). Let z(s) = 19*s**2 - s - 1. Let c be z(-1). Solve -c = -h*j + x*a - 0*a, -4*a - 20 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 57567.139756?\nAnswer: 57562.139756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 920 and 1840.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 31\/(-5) + 1\/5. Let l = -2 - 9. Let u(x) = 4*x - 8. Let y(a) = -7*a + 15. Determine k*y(j) + l*u(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 440138.9 decades in millennia?\nAnswer: 4401.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1. Let t(h) = -16*h - 26. Let i(k) = -3*k - 5. Let n(c) = 11*i(c) - 2*t(c). Calculate n(r) - 3*o(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1.2, 5, 3, 1.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 9 - 4*o**2 + 13*o**2 - o**3 + 2*o. Let k be l(9). Let v = k + 33. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 136 = 4*y, 4*q + 4*y + 138 = y. Let c = -5 - q. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 7*x**2 + 1\/8*x**4 + 0 + 0*x - 1\/3*x**3. Let a(w) = w - 1. Calculate a(n) - c(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:28 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -101*c**5\/60 - 19*c**4\/6 + 6*c**2 - 4. What is the second derivative of n(i) wrt i?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + 1*(2 + (sqrt(17)*1)**2) + sqrt(136)\/(sqrt(8)*-2) + -2) + -5.\nAnswer: -5*sqrt(17)\/2 + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 + 3*o**2)*(-4 + 3 + 2)*(-2 - 7 + 12).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 - 222*u - 35. Let l be o(-12). Calculate the highest common factor of 6031 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -22*o**3 - 52*o**2 - 150*o - 88. Let r(y) = 30*y**3 + 68*y**2 + 200*y + 118. Let u(t) = 11*p(t) + 8*r(t). Factor u(q).\nAnswer: -2*(q + 1)**2*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*l - 0*i - 4, -2*i - 2 = -4*l. Let o be 4\/6*(-3)\/l. Suppose -3*r + 2005 = 4*g, 4*g - 2*r - 1984 = o*r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f - 21. Let g be o(3). Let k(m) = 818*m**2 - 2*m - 36. Let x be k(g). Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*m = p - 6518, -4916 = 3*p + 4*m. Let y = p + 67. Round y to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1898cc20 - -3?\nAnswer: 1898cc23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppp when four letters picked without replacement from {p: 3, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 393.9 and -380.\nAnswer: -149682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*c + 10 = 0, -3*c = -3*y - 0*c + 6. Suppose 0 = 5*h + d + 20, h + 2*d = -17 + 4. Let g be 1 - (0 + -9)\/3. Sort g, h, y, -5 in ascending order.\nAnswer: -5, h, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 27. Let j be 1\/(-1) + (-7 - -11). Suppose -q + j*q + 6 = -3*g, 0 = -2*q + 4*g + 8. Determine t(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2\/3*g**3 + 0*g**2 + 0 + 2\/3*g**5 + 0*g + 4\/3*g**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -66*w + 1878. Let n be y(10). Solve 1227 - n = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5336)\/(-450) + 2\/(-25) + (-6)\/(-27)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a\/(a\/a**7))\/a)*a)**(-1\/21))**(-17) assuming a is positive.\nAnswer: a**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -1\/2, 1, 165944.\nAnswer: -1\/2, 1\/10, 1, 165944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11454168?\nAnswer: 2, 3, 11, 43, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9 - 5.9. Which is the closest to 0.1? (a) 0.8 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 2*(sqrt(13) + 1) - (sqrt(832)*1 - sqrt(832)*2)**2.\nAnswer: -835 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043104006 to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/4 + 7*f**2. What is m(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4792 - -4799. Let f(j) be the third derivative of 0*j**4 - 19\/6*j**3 - 1\/210*j**h + 0*j**5 + 0*j + 0*j**6 + 10*j**2 + 0. Differentiate f(r) wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16108169138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-7 + 3 + 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:41 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 7. Let v be h(5). Let y = 5 - v. Let z be (-1 + 2\/2)\/(3 + -6). Solve 0 = t + p - 2, z = 5*t - y*p - 17 - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119325*g**5*y - 3*g**4*y**2 + 8790*g*y**2 + 14*g*y wrt g.\nAnswer: -2386500*g**3*y - 36*g**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b + 4. List the prime factors of s(5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 52\/53 (b) -0.2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1399122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1338 - 3?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in -2, 5, -48, 2753?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)\/j*j\/((j**(-2\/3)\/j*j)\/j*j*j))**30 assuming j is positive.\nAnswer: j**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = 24. What is the common denominator of 36\/5 and (-8)\/a + (-1288)\/60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/5)\/(241\/1205)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-15) + 10153\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51b + -2f89?\nAnswer: -34a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 9*b + 8*b - 14*b.\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 - -5.756. Let l = -4.371 + b. Let g = 4.2 + l. Round g to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8744?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13034 divided by 66\nAnswer: 6517\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 44*o - 18. Let l(c) = 3*c - 11. Let y be l(-4). Let x be p(y). Factor -4*k - 27*k**2 + x*k**2 + k - 6 + 2.\nAnswer: (k - 4)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 60*v - 33*v + 20 = 0, 0*r + 3 = -5*r - 2*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -63.1 - -0.07\nAnswer: -63.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Let h = 2.1 + x. Let o = 19 + -15. Which is the nearest to h? (a) 2 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + (-140)\/100. Suppose 0 = -u - 0*u + 8. Let c be u*(a - (-6)\/4). Put -5, c, 5 in increasing order.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/11200 and 103\/82250.\nAnswer: 2632000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(-1 - z**2 + 1) - 3166 + 3*z + 14*z**2 + 17*z**3 + 3163 - 19*z**3.\nAnswer: -z**3 + 14*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:01 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {o: 1, w: 4, n: 6, l: 4, i: 1, f: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - a + 6 = 3, -23 = -3*r - 5*a. Let p = 0.09 + 0.31. What is the closest to -1 in r, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -297.6128\nAnswer: -29.76128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f4c2 + 286?\nAnswer: 2f748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/3974070 and -17\/8.\nAnswer: 15896280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 7, g: 1, j: 6, f: 2, s: 1}. Give prob of picking 1 x and 1 f.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323497.\nAnswer: 59, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/6 - 4*m. Let i be p(9). Let b = 25 - i. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*z + 4 = 0, 0*z - 4*z - 16 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 4. Let u be (-3)\/5 + (-68)\/20. Let y be -5 - (1 + 0) - -2. Let j = u - y. Give d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6 + 7*d**5 + 6*d**3 - 1279*d**2 + d wrt d.\nAnswer: -240*d**3 + 420*d**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 9*r**2 - 11*r + 10. Let a be c(8). What is the common denominator of 1*(21\/(-20))\/(-3) and 437\/84 + -1 + (-10)\/a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1606*q + 401878 = -1563*q. What are the prime factors of q?\nAnswer: 2, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - 4. Suppose 3*i - 58 = -4*z, l*i + 10 = -2*i. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1223343*x**2 - 1223340*x - 3.\nAnswer: 3*(x - 1)*(407781*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, d: 2, c: 1, n: 2}. What is prob of picking 1 n, 1 t, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*d = 81, -3*u - 3*d = -52 - 5. Calculate the greatest common divisor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 10*u**5 + 95*u**4 - 160*u**3 + 55*u**2 = 0.\nAnswer: -11, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 3.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/3 and -2\/41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863814829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 9*r - 12. Let b be (-1)\/(4\/(-12)) + 20. Suppose 0*w - w + 3*i - b = 0, 5*w + i + 35 = 0. Determine t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/15 - 259932*l**2\/5 = 0. Calculate l.\nAnswer: -389898, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 66*r**2 - 51*r. Let a(g) = -5*g**2 + 4*g. Let f(q) = 27*a(q) + 2*j(q). Determine c, given that f(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 + 11*a + 1. Let d(s) = 8*s**2 - 2*s - 5. Let f(c) = -5*c**2 + c + 3. Let b(n) = 3*d(n) + 5*f(n). What is -22*b(m) - 2*u(m)?\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 0 - 1 + 3*k**2 - 4 to the form f + v*k**2 + h*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -19. Let i = 8.9 - s. Let d = i - -0.6. Which is the biggest value? (a) d (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 26, 44?\n\"Answer: 18*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 2 + 2)*(27*y + 81*y + 125*y) + 4*y**3 + 3*y**3 - 5*y**3.\nAnswer: 1167*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 + 2363433*f = 0 for f.\nAnswer: -787811, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b*g**3*k + 63*b*g**3 + 3*b*g*n + b*n - 5*b - 100726*g**3*k*n - 2*n wrt k?\nAnswer: 6*b*g**3 - 100726*g**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 + 69. What is the remainder when x is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2360 and 173\/3540.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxq when four letters picked without replacement from xxqgqsqqqxqqqsg.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z + 3*z, 3*a - 14 = z. Let n = a - 0. What is the third derivative of -21*k**2 + 11*k**2 + 6*k**2 + k**n wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/125 in 3, 1\/2, -62, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15086249 to the power of 1\/2, to the nearest integer?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-168))\/((-1)\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1293*k**2*r + 24*k**2 + 5*k with respect to r.\nAnswer: -1293*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142115614 take away 6.8?\nAnswer: -6.657884386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250526*h**3 - 276321*h?\nAnswer: -1503156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 + 8*p**2 - 72*p**3 - 251*p**3.\nAnswer: -323*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2099\/24 - 88. Calculate the common denominator of 37\/48 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 591392.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (4 + 7 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 9*p + 10. Let s be o(-8). Suppose -3*v = s*u - 28, 3*v + u - 25 - 7 = 0. Is 9 a factor of (-10)\/4*v*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000101 - -1000010000110?\nAnswer: 101110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 237\/4 + -60. Let x = 197\/4 + -49. Which is the closest to 0? (a) -0.5 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 85*s - 720. Suppose 3*k = 5*w - 80, 33 = 2*w - 3*k + 2*k. Let p(v) = s*v - w*v + 4*v. Give p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 267244 - -317?\nAnswer: 267563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -10*t - 48. Let h be ((-1)\/(-3)*(t + -18))\/(-1). Suppose h*o - 245 = -3*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -102071962684 and 6.238.\nAnswer: -102071962677.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -777 (base 8) to base 15\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 21*a - 14. Let v(j) = -j**2 - 7*j + 5. What is -6*c(k) - 17*v(k)?\nAnswer: -k**2 - 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2. Let p be h(4). Let z(q) = -q**2 - 4*q + 3. Let d be z(p). Calculate the remainder when 2 is divided by -2*(d\/(-6))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*p - d, 0 = -3*d + 5*d - 4. Let u be 130\/(-39)*(9\/p - 2). What is the third smallest value in -3, u, -22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120891.\nAnswer: 3, 59, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - a. Let c be w(-2). Let u be (-30)\/(-8) - c\/(-8). Find the first derivative of 2 - 6*g - u + 2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from acewuuauwu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16*6\/60)\/((-12)\/40))\/((-8)\/60)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1812354 less than 18525.21?\nAnswer: 1830879.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, 7, 0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 870\/(-75) + 16 + (-5)\/1. Let d = -5.03 - -0.03. What is the third smallest value in 0.07, d, o, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 27*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10514 + -10514. Let w(u) = u**2 + 5*u + 5. Let s(v) = -v. Let a(i) = -6*s(i) - w(i). Calculate a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.69 (b) 0.3 (c) 0.001 (d) 2.3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 22*d - 103. Let p be u(12). Differentiate -370 + h + 160 + 5*h**2 + p with respect to h.\nAnswer: 10*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-36 + 31 - 32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4116479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 9*o**2 + 9*o - 1. Let s(a) = -13*a + 3. Let f be s(1). List the prime factors of u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**5\/5 - 23*m**4\/4 - 143*m**3\/3 - 121*m**2\/2 + 28. Let w(d) = 0. What is d?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2 - 566*t + 888. Determine o(-73).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g + g + 3*q, -g = 5*q + 6. Solve -j = -g*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 396986000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4775064 divided by -172?\nAnswer: 27762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.1 - 58. Put -2, j, 72 in decreasing order.\nAnswer: 72, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-42)\/12)*76\/7. Solve -a*w - 265 = 1 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12098 - 4352*k + 33853*k - 12099.\nAnswer: 29501*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 17*y**2 - 9*y - 9. Let i(w) = -32*w**2 + 2 + 2*w + 12*w**2 + 16*w**2. What is -9*i(f) - 2*m(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32 + 0.19. Let z = r - -0.08. Sort -4\/5, 2, z in descending order.\nAnswer: 2, z, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193087734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, 1 o, and 1 z when four letters picked without replacement from ruoaaueouoououeoozra?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*r = -68, 0 = s - 5*r + 28 + 8. Let g(n) = -14*n + 7. What are the prime factors of g(s)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 524 - 884. Let w = d - -136. Let q = w - -2018\/9. Sort -3, q, -0.3 in decreasing order.\nAnswer: q, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijsossyyjs. What is prob of picking 2 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 12. Let b be 11\/n + (-18)\/(-42). Suppose -30 = -3*c + 2*c + b*g, 2*g = 4*c - 90. Solve -p + 5*t + c = 0, 2*p + 35 = -p - 4*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.12 + 0.12. Let s = 3 + c. Let v = s + 7. What is the second biggest value in 2, v, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478079 divided by -2.\nAnswer: -478079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6698, -26616, -59788, -106214, -165894?\nAnswer: -238828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 3*o + 13*o + 31*o in the form h + v*o and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/(j**(3\/5)*j))\/j*j)*j**(-2\/11)*j)**(21\/2) assuming j is positive.\nAnswer: j**(819\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*d + 4132 + 1868 = 0 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1892 + -1109. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424064842 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 - 70*d**3 - 208*d**2 = 0. Calculate d.\nAnswer: -8\/3, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9982 is divided by 1106.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 + -4 - -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 32. Let d be 450\/(-72)*(1 - 13). Suppose -h - 4*h + d = 0. Calculate the remainder when q is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1225163*i - 489. Let o be n(3). Round o to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 15, -4*p = p - 3*t - 2101. Suppose -3*b + 5*a + 306 = -p, 0 = 5*b - 2*a - 1245. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/80*12)\/(4\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294250 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:11 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)\/((-1)\/(-3)). Let h = -3 - k. Suppose h*a = 5*a - 95. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146387284.\nAnswer: 2, 36596821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.2. Let f = 2\/91 + -99\/364. Which is the second biggest value? (a) u (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c**2 + 7*c - 11. Let o be s(2). Let q(z) = z**3 - 6*z**2 + 6*z - 5. Let w be q(5). Let m be (-256)\/(-65) - (w + 4). Are m and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54213535 (base 6) in base 10?\nAnswer: 1604003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3405058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61656 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 >= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -14. Suppose c*r = 3*r - 42. What are the prime factors of (31\/(-2))\/(r\/(-28))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449.9612 less than -391?\nAnswer: -6840.9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l. Let x be b(1). Let v be 2\/14 - 3*(-826)\/147. Suppose 4*k = 2*w + 10, 3*w = -4*k - 2 + v. Solve 0 = -x*u - 16 + w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6549?\nAnswer: 3, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - 37. Let i = -7 - y. Let f = 81 - i. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54215137, -108430267, -162645397?\n\"Answer: -54215130*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 3.03. Let i = -12.4 + 12. Let u = i - -0.9. Which is the nearest to -0.1? (a) -1\/4 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 - 4*m + 5. Let w = -3 + -2. Let k be j(w). Let c be (k - -2)\/((-2)\/(-4)). Solve -6*f + v - 18 = -2*f, -c = -2*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -3975?\nAnswer: -3975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -257694 and -4.78.\nAnswer: 1231777.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 452471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 16*s - 12. Determine o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15550, -15536, -15520, -15502, -15482, -15460?\nAnswer: -15436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 973855808 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 2. Suppose h*f + 295 = -1055. Let l = f - -1335. What is l rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*n + 10488 - 10471 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 3 + -4 + 2. Let o be -2 + 3 + t - -4. Suppose 0*m + o*m - 2*b = 53, 0 = -5*m - b + 71. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14065996 * -65.\nAnswer: -914289740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times 0.24\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7947152 minus -4522.4?\nAnswer: -7942629.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 58*o**2 - 181*o - 139. Calculate j(61).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b**2 - 5*b)*(52 - 17 + 46).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32\/9, 1\/2, -466?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/170 and -95\/14?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3675207*o**3 + 2*o*p**2 + 8895252*p**2 wrt o?\nAnswer: -11025621*o**2 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 26*y**2 - 4*y + 3. Let k be g(2). Suppose -4*l = -l - k. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2. Let h = -70\/13 - -511\/78. Let l(b) be the second derivative of -15*b + 0*b**2 + 0 + h*b**3. Determine c(l(q)).\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 14*c**2 - 3*c - 13. Let m be n(-14). Solve -3*y = -f + 5, 5*f - 4*y = -7*y - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89242.\nAnswer: 2, 44621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1082*i - 327798. Give x(303).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 17 = 4*i, -3*v + 3*i - 2*i - 7 = 0. Let p be (v + 1 - -3)\/(6\/8). Let t(u) = u**2 - 4*u - 2. Let o be t(4). Sort 2, o, p.\nAnswer: o, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 320*s - 320*s - 2 + 2*s**3 - 27*s**2 to the form g*s**3 + l*s**2 + u + p*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31969.384 or 3?\nAnswer: -31969.384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + 112\/(-36)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-34))\/((-2)\/(-4))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/41, 0.119, -1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a*a*a*a**(-2)*a)**(9\/5)\/((a**(-1))**(-32)*(a**1)**(-1\/34)) assuming a is positive.\nAnswer: a**(-23809\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -22, -5, 1 in ascending order.\nAnswer: -22, -5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = -62*k - 76 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 2*x - 96 + 49 + 43 to j*x + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72611 and 277365?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2308 + -1350. Is b a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -868*z + 432*z + 438*z. Let m(h) = 6*h - 3. Let p(f) = f + 1. Let s(w) = -m(w) - 3*p(w). What is g(s(t))?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let c(i) = -317*i - 111. Give t(c(m)).\nAnswer: -634*m - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/49))**(3\/5)\/(y**(-5)*y*y\/((y*y**42*y)\/y)) assuming y is positive.\nAnswer: y**(11267\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 1 + 3, 3*r = 3*o + 42. Suppose 0*y + 9 = -2*y - 5*h, -r = -4*y + h. What is the third derivative of i**y + 2*i**2 - i**3 + i**6 wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)\/u**(-5))\/(u**7*u**2))\/((u**(-1\/2)*(u*u*u**(1\/4))\/u)\/(u*u**(-1))**(-49)) assuming u is positive.\nAnswer: u**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + -8. Let q be (12\/(-15))\/(8\/f). What is the second derivative of 2 - q + n + n**5 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1585792 divided by -30496\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 237 - 1067 = 0. Let u = n - -309. What are the prime factors of u?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 242 = t. Let c = 342 - t. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/12 + 4*n. Let a(x) = 11*x**2. Give o(a(v)).\nAnswer: 121*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8*w**3 - 181*w + 9 + 182*w + 8 - 5*w**3 to p*w**2 + a*w + h*w**3 + t and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -214. Let x(w) = -123*w - 2. What is the remainder when x(q) is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3120424 divided by 16168.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 17179200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2619.14 - 166566304\nAnswer: -166568923.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84351*u**6 + 12*u**2 - 2025*u - 1?\nAnswer: 10122120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.013213987.\nAnswer: -3.013213987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -1.8. Let h = y - 0.5. Let g = 2 - h. Which is the biggest value? (a) g (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*10\/((-30)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - c + c - 3*c**2 + c**2 + c**2 + (-c + c + c**2)*(2 - 1 + 1) + (-3 + 3 + c)*(-2*c + 13*c + 16*c) - 6*c**2 + c**2 + 2*c**2.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 25*o**2 - 13*o + 23*o + 27*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 7. Let m(h) = h**2 + 5*h - 82. Let d be m(7). Let w(f) = -20*f + 52*f - 16*f - 29 - 33*f. Determine d*w(n) + 9*l(n).\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -11*t**5 - 30*t**4 + 26*t**3 + 148*t**2 + 153*t + 50 = 0.\nAnswer: -2, -1, 25\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199684?\nAnswer: 2, 49921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = 9, -2*w - 32 = -4*g. Let a = g - 5. Let r be (a + 339998)*7\/2. Round r to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/156 and -27\/6916.\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265 - 253. Let v(a) be the first derivative of c - 2\/3*a**3 - 2*a + 2*a**2. Factor v(f).\nAnswer: -2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(176) + sqrt(55)\/sqrt(20).\nAnswer: -39*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 1.4. Let v = 0.11 + -0.11. Let s = v + 0.1. Which is the closest to s? (a) j (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 15*k - 17. Is y(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -18. Let h = 31.1 + l. What is h rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-47)\/x*x)\/(x*x**(2\/71)) assuming x is positive.\nAnswer: x**(-3410\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 + (-159)\/6. Let n be -1*(-6 - (-1 - 0)). Suppose 71 = -3*b + 4*d, 0 = n*b + 5*d + 178 - 48. Do b and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3234\/19 (b) -1070 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - 7 - (1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**4\/4 + 4*y**3 + 13*y**2\/2 - 5*y + 5. Let q be f(13). Which is the second biggest value? (a) -2\/3 (b) -2\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 31*p + 9. Let a be d(-16). Let k = -3 - 0. Let j = 3 + k. Solve 5*s = -j*s - a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 41 + 7 = 0. Let x(p) = -p**2 + 9*p + 2. Let r be x(6). Suppose 2*i + 3*i = r. Calculate the lowest common multiple of w and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*i + 4*i + 487, -3*i - 5*f = -702. Let p(m) = 0*m + i + m - 244. Determine p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + (-14 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130255526*w**4*x + 2*w**2*x + 22*w**2 + 2*w - 18*x + 690 wrt w?\nAnswer: 3126132624*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + 0*q)*(-q - 1 + 2*q - 2*q)*(-7 - 7 + 0).\nAnswer: 14*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11358? (a) 3\/5 (b) 0 (c) -567 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126077 is divided by 1466.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -901*y**2 - 849*y - 5. Let r(o) = 450*o**2 + 425*o + 2. Let a(b) = -5*r(b) - 2*t(b). Find the second derivative of a(m) wrt m.\nAnswer: -896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/8*(5 - -1). Suppose -4*x + p = 6*p + 53, 2*x + s = -5*p. Let v be (-52)\/(-14) + (-2)\/x. Solve -1 = 3*d + 4*u, v*d - 4*u + 17 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002695 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1076*p + 428279. Determine n(-398).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 150*k + 578. What is c(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66) + (sqrt(66) - -1*sqrt(66))))\/((sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6))*2 - sqrt(6)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -58, -119, -182, -247?\n\"Answer: -x**2 - 56*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Let q be w\/(5\/15) - 1. Let n(u) = -8*u**q - 2*u**2 + 0*u**2. Let x(h) = 2*h. Determine n(x(i)).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 13 = 3*n + 5*z, -2 = 4*n - 2*z. Let k(o) = -6*o**2 + 3*o. Let l(h) = h**2 - h. Let v(p) = n*l(p) - k(p). Let d(w) = w**2. What is v(d(a))?\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 478?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 688401, 688365, 688329, 688293?\n\"Answer: -36*i + 688437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {a: 6, k: 4, p: 5, u: 5}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -5075 and 0.09 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a = -17*a + 140 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -279, -608, -1157, -1926, -2915, -4124, -5553?\n\"Answer: -110*u**2 + u - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwl when three letters picked without replacement from wwwwzzwlwkwkwkwwklw.\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.09595 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -53. Let i = 0.33 + -0.33. Put i, s, -2\/21 in increasing order.\nAnswer: -2\/21, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Suppose -m + 5 - 2 = 0. Let o be s(m). Let q be (1 - (-2)\/(-2))\/1. Sort q, 1, o in decreasing order.\nAnswer: 1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 30*i + 866. Let m be q(-29). Which is the nearest to -2\/77? (a) m (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28874, 57753, 86650, 115577, 144546, 173569, 202658?\nAnswer: 231825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2 = -p - v, -4*v = 5*p - 32. Suppose -p*s = -16 - 76. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Suppose -8 = -m*n + 4*z, -z - 10 = 3*n + 4*z. Suppose n = -34*x + 31*x + 255. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239 is divided by 156.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 3. Let s(i) = -i**3 + 6*i**2 + 6*i + 7. Let h be s(7). Let g be 1 + h + 4\/2. Calculate the remainder when d(g) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 0.9573?\nAnswer: 35.9573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeeeeeeeedeee. What is prob of sequence hd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-4)\/(-16) + (-987)\/90 + (-344)\/(-430).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273214178.\nAnswer: 2, 3, 37, 1911733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55338637 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -78. Let a = 41.856 - b. Let r = -0.14399933 - a. Round r to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/25*((-1)\/(-5))\/(166\/(-5)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 42200.\nAnswer: 42200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 92*n**3 - 14*n**2 - 12*n. Calculate u(-1).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-665))\/((-117)\/(-15210))\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 75*g + 17*g + 860 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f + 2. Let n(v) = -21*v + 5. Let d(w) = -2*n(w) + 5*t(w). Let j(i) = -9*i. Let h(y) = 5*d(y) - 4*j(y). Let a(k) = -38*k**2. What is h(a(l))?\nAnswer: 152*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 45708936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from wiiwiwiiiiiiiiiwwwi.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -182407.\nAnswer: 5\/182407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - (-2 + 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57980753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1\/6, -0.1, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 5, b: 2, z: 6, j: 1, k: 5}. What is prob of picking 1 j and 1 a?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from ehz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14281, 28535, 42789, 57043?\n\"Answer: 14254*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9552*i + 296114. Determine s(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*v**2 - 40 + 21*v**2 + 21*v**2 - 67*v**2 + 12*v**3 + 0*v**3 as t + o*v**3 + f*v**2 + x*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - 0.1. Let g = 10.7 - 11. Let x = g - o. Which is the closest to -3? (a) x (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - l - l + 8795, 3*y - 3*l = 5256. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 1 = -11*k - 5*x, -4*x = -k - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*u - u - 10, 5*u + 5*a - 35 = 0. Is 6*(-1)\/u - -12 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53204*o - 374*o**2 - 53204*o to q*o + i + a*o**2 and give a.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 297, 446, 595?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4 - 254*i**3 - 4227*i**2 + 115582786*i.\nAnswer: -12*i**2 - 1524*i - 8454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -138, -207, -276, -345, -414?\n\"Answer: -69*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25850, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 5, -0.37, -58, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7882 (b) -2.875 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12 (b) 3 (c) -3\/2 (d) 70 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 5*y = 15*v + 7, 1289*y - 1288*y + 5 + 8 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k. Suppose k = -4*f + 5*f - 2. Solve s = -2*d - f, d - 7*s + 2*s = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2685192 is divided by 12374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112\/17 + 767\/119. Suppose -3*i = -0*i + 6. Let z be (-1)\/i + 1\/(-2). Is z at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4439*p - 612416 = -5130*p for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -558*q**3*y + 30*q**3 + 2 wrt y?\nAnswer: -558*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17315 by 17315.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 67. Determine p(22).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2549 - -2534. Which is smaller: -221\/15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1923, 1922, 1921, 1920?\n\"Answer: -s + 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10193 + -10191. Put 1\/636, x, -4, 2\/5 in increasing order.\nAnswer: -4, 1\/636, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -70683, -70546, -70411, -70278, -70147, -70018, -69891?\n\"Answer: -z**2 + 140*z - 70822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 10\/7 (c) 3 (d) 39\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 378*-2*(-9)\/18. Suppose w = -4*j - 510. Is ((-1)\/(3\/j))\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*s - 2*s + 523, -4*s = -2*k + 508. Suppose k = -4*x - 0*x. Round x to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 8\/36) + 160\/(-9). Let k = 21 + x. Is k\/15 - (-7)\/((-105)\/(-342)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*i + 3*z - 5*z + 9 - 6, 0 = -31*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r - 2. Suppose -2*z - 5*g - 8 = 0, -3*g + 0*g = -2*z + 8. Let o be s(z). Suppose -o + 35 = 2*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let x(y) = -6 - 9*y + 6. What is s(x(v))?\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*g**2 - 80429550*g + 80429550*g + 5 - 3.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48300 divided by 690?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b + 11*b - 12*b)*(2 - 1 - 3)*(-1 + 4 + 0).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 9. What is the common denominator of (6\/80)\/(t\/(-25)) and -35\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 36*r + 49. Calculate z(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*q + 178*q + 108*q + 4*q - 4*q + q + (-4 + 4 - 2*q)*(3 + 4 - 6) + 0*q + 0*q - q.\nAnswer: 183*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2 - 41*c*r**2 + 2*r**2 - 9 wrt c.\nAnswer: 2*c - 41*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**7\/n*n)*n*n**(-8\/3)\/n)\/((n\/(((n*n**(-4)\/n)\/n)\/n))\/(n\/n**(-1\/27))))**43)**(34\/3) assuming n is positive.\nAnswer: n**(-577490\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 13398 (c) 4 (d) 2 (e) 3\/4 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 12:24 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -33*i**4 + 10*i**2 + 3*i + 3. Let s(k) = 230*k**4 - 70*k**2 - 20*k - 20. Let f(t) = -20*o(t) - 3*s(t). Find the third derivative of f(y) wrt y.\nAnswer: -720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035 + (-14)\/(70\/15).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3539, 3810, 4519, 5876, 8091, 11374?\nAnswer: 15935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c1099b (base 13) in base 12?\nAnswer: 1603aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(132) + sqrt(132) - sqrt(132)) - 3*2*sqrt(132))\/(sqrt(768)*-1 - 2*(sqrt(12) + sqrt(48))).\nAnswer: 9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 5*c)*(1 + 1 - 1) - 3 + 8*c + 1 - 22*c.\nAnswer: -13*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*w - 3 + 4 - 47*w + 0 to k + q*w and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muuccllmllymcam. What is prob of picking 1 y and 2 m?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 2. Let d(w) = w**3 + 10*w**2 + w + 10. Let h be -8 + (-6)\/(6\/2). Let c be d(h). Let q be s(c). Solve -t = -q*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 78. Suppose -u*h + 6425 - 353 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 5\/2, 5, -3, 658?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -587 - -582. Which is the second biggest value? (a) d (b) 0 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1875.97305 - -0.17305. Round k to the nearest ten.\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7941499 is divided by 3210?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -2 + sqrt(108) + -3 + (sqrt(108) - -4*sqrt(108)*3)**2 + -6*(sqrt(108) + -3 - sqrt(108)).\nAnswer: 6*sqrt(3) + 18261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -997\/345 + 91\/23. Let k(o) be the first derivative of 6\/5*o**2 + 8 + 0*o + 1\/5*o**4 - c*o**3. What is n in k(n) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**3 + 106*k**2 + 110*k - 189. Let l(x) = -x**3 + 21*x**2 + 22*x - 38. Let y(n) = -11*l(n) + 2*w(n). What is the units digit of y(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -10*b - 65 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95711, 191318, 286917, 382502, 478067, 573606, 669113, 764582?\nAnswer: 860007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.3 * 3.\nAnswer: 24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d. Let c(z) = 3*z**2 - z + 2. Calculate c(r) + s(r).\nAnswer: 4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - 8425 + 315*c**2 + 0*c - c + 8424 to q*c**4 + h*c**3 + w*c + l*c**2 + p and give l.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11130\/175*860\/(-516).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 11*b = 6*b - 14952. Calculate the greatest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.23 + 9.\nAnswer: -6.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -955835 in increasing order.\nAnswer: -955835, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -11. Let h be 12\/(-10)*50\/(-15). What are the prime factors of (21\/p)\/((-2)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 r, and 1 l when four letters picked without replacement from {l: 4, r: 2, n: 2, h: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**17*(k**(2\/5)\/k*k*k)**(-40) assuming k is positive.\nAnswer: k**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4205*l = 4210*l - 10. Solve 2*r + l = 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a + 0*a + 3 - 2. Let s be h(-7). What is the first derivative of 14*d - 3 - 11*d - 5 - s*d wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 22. Let l(o) = 1 - 2*o + o + 2*o. Let x(u) be the first derivative of -3*u**2\/2 - u + 1. What is i*x(g) + 2*l(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63461*a**6 - 2254*a**2 - a - 2 wrt a.\nAnswer: 7615320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(5*w - 2*w - 2*w)*(125 + 215 + 350)*(4 + 8 - 7).\nAnswer: 3450*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11312 + -3042232?\nAnswer: -3030420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25463241 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 577357, 1154716, 1732075?\n\"Answer: 577359*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-27))\/(6\/(-9)). Let y(l) be the first derivative of -s*l + 1\/9*l**3 - 3 + 0*l**2. Let y(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 24, 54, 102, 174, 276, 414?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -391, -1598, -3623, -6472, -10151, -14666, -20023?\n\"Answer: -c**3 - 403*c**2 + 9*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by 6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4440 and -99\/20.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*l - 40177, 2*l + 88 = 86. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 461256*c**2 - 3228948*c + 4612840.\nAnswer: 4*(c - 5)*(c - 2)*(c + 115321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231 - -466. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 432*d**2 - 1303*d - 870.\nAnswer: (d - 435)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-566)\/10 - (-6)\/(-15). Suppose -3530 = -22*s - 1418. Let n = s + q. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = -2*b, 24*b - 57*b - 15 = -32*b - 5*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*l + 2. Calculate the greatest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 32*q**2 + 1. Let n(r) = 23*r - 9. Let i(y) = 10*y - 4. Let s(c) = 9*i(c) - 4*n(c). Give m(s(l)).\nAnswer: 128*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87*a**2 - 131.\nAnswer: 174*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2206, 4369, 6532, 8695?\nAnswer: 10858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-620)\/(-20832)*153\/10 and -87\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/4, 0.2, -1\/38, 0.04 in ascending order.\nAnswer: -3\/4, -0.5, -1\/38, 0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 125 = -5*i, 272 - 102 = 5*p - 4*i. Let k be 132*4\/p*5. Suppose 3*u - k - 20 = 0. Calculate the highest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.791714 milliseconds in hours?\nAnswer: 0.000002164365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 1 + 8*u + 2. Suppose -3*r - 15 = j - 7*r, 5*r = 25. What is the tens digit of x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00353974 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-20))\/(616\/440). Which is the nearest to 0.3? (a) j (b) -1.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-10)\/(-4)) + 3713\/395. Suppose 5905 = 4*l - p*h + 6*h, 0 = -4*l - 3*h + 5887. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z + 5. Let p be r(-7). Let o = -18 - p. Find the common denominator of 89\/20 and ((-2)\/(-20))\/(o\/(-2490)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 + 9*g - 12. Let v be q(7). What is p in 202*p**2 + 3*p**3 - 99*p**2 - 100*p**v = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/6)*d*d)**(2\/75))**(-2\/39)\/((d\/((d**2*d)\/d)*d)\/(d*d*d\/(d*d\/d**2))*(d**(-1)\/d)**(2\/99)) assuming d is positive.\nAnswer: d**(22553\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -292151.76.\nAnswer: -292151.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**6 - 20*l**4 + 454*l**2.\nAnswer: 120*l**3 - 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1944 + -1939. Which is smaller: 101\/18 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115052 (base 7) to base 5\nAnswer: -1132320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715013 is divided by 11217.\nAnswer: 10029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 337861517*o - 415326007?\nAnswer: 337861517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:48 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -41*x - 11. Let b be t(-5). Let i = 591 - b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 0. Let v be (-1)\/3 - 20\/o. Which is the second biggest value? (a) v (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*i + 19*i**2 - 192 - 2*i**2 + 2*i**2 + 2*i**2.\nAnswer: 3*(i + 8)*(7*i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-8\/3)*l)\/l*l*l)\/((l\/((l**(3\/5)\/l)\/l))\/l))**(-2\/41))**36 assuming l is positive.\nAnswer: l**(744\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10214 (base 7) to base 15.\nAnswer: -b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(637)*-4)**2 - (-1 + sqrt(637) - sqrt(637) - sqrt(637))*6*-2.\nAnswer: -84*sqrt(13) + 91716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*c**5\/7 - 5188*c**4\/7 + 11210*c**3\/7 - 10288*c**2\/7 + 3368*c\/7 + 32\/7 = 0 for c.\nAnswer: -4\/433, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j - 6. Let d(s) = 13*s - 11. Let l(f) = 6*d(f) - 11*q(f). Let a(y) = -2*y**2 - 9*y. Calculate a(l(i)).\nAnswer: -2*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**3 + 6*o**2 + 4. Let q(a) be the third derivative of -a**6\/120 - a**5\/60 - a**3\/6 - 4*a**2. What is -d(j) - 6*q(j)?\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 15*b**2 - 54*b. What is o(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427477 * 6.\nAnswer: -2564862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from vcvcvccccvvccccccc.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -6 + -6 + 10 + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26526683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/9))\/s*s**0)**(2\/3)\/(s**(4\/9)\/(s\/(s*s\/((s*s*(s\/(s**(-6)*s))\/s*s)\/s)*s)))**(-45) assuming s is positive.\nAnswer: s**(-5537\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329 by 2812.\nAnswer: -329\/2812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0456464 rounded to 3 decimal places?\nAnswer: 1.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*16\/(-24)*(-9)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1795*l - 5*l**2 - 1795*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -2*j + 4*s + 91, -12 = -3*j + 5*s. Let m(u) = -2*u**3 + 5*u**2 - 3*u + 5. What is m(j)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.92168 rounded to one dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-43 - (-6 + -23))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80677877 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyryyyyyyyyyyyyyyry. What is prob of picking 1 r and 2 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + g - 5, 0*x + 3*g = 4*x - 48. Calculate the least common multiple of x and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2901.9 + 2902. What is the closest to 23 in -2, 0.4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*v + 145 = 0, 3*s = -2*v + v + 87. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -13, -3\/7.\nAnswer: -18, -13, -5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0652? (a) -4 (b) -1\/20 (c) -2 (d) 1\/5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121832*w + 121815*w - 51 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-78)\/(-42))*(-14259)\/(-1164)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*434\/(-546))\/(53\/(-689)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.5 (c) 4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6180 + 6192. Which is smaller: x or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/21 - 26*j**2\/21 - 2*j\/3 + 110\/7 = 0. Calculate j.\nAnswer: -11, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 572498 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*f = 21909, -19*f - 7303 = -o - 15*f. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -24, -63*r + 0*r - 310 = 2*p - 133 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -2*c**7\/7 + c**4 - 5*c. What is the third derivative of r(m) wrt m?\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 268*o - 519. Calculate l(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.2 + 76.3. Let u = n + -54. What is u rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-261)\/870*25\/(-60). What is the smallest value in h, -2.02, -0.15?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 789*o + 3117. Calculate g(259).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 42 = 12*b - 4*u, -44 = 4*b - 2*u for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + t + 1. Let g(v) = -2057*v**3 - 6*v**2 - 271*v + 9. Let l(o) = -g(o) + 3*r(o). What is the second derivative of l(d) wrt d?\nAnswer: 12342*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.179 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28891.91kg in grams?\nAnswer: 28891910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -88 + 119 + (7 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:35 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162 - (-77 + 110 + 47).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 59. Let s = -9 - x. Solve -12\/11*n - 18\/11 - 2\/11*n**s = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8205292 rounded to 1 dp?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:01 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s**3 + 154*s**3 - 69*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -8)*17 + -4 + 1. Suppose 0 = -5*x - 536 + p. Let s be 13\/((-78)\/x)*4\/14. Solve 2*l - 2 = -4*f, 0 = s*l - 2*f - 0*f + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -7 - 10. Let y = 22 + a. Suppose 24 = y*d - 4*b - 156, 3*b + 111 = 3*d. Calculate the greatest common divisor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Suppose 0*f = g*f - 75. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 2. Let d(s) = 5*s**2 + 18*s + 45. Let j(m) = d(m) + 4*q(m). Let z be j(-16). Let o(v) = 3*v - 14. Let x be o(6). Solve -z*l - x = 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -23. Suppose -3*y + 2 + 1 = f. Suppose h = y + 3. Solve -7*m = -3*m - h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v - 27. Calculate the remainder when 25 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2793.5 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -9, -4 in descending order.\nAnswer: 47, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, p: 3}. Give prob of picking 2 t and 1 p.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3863 + 3861. Let k = -7 - -7.07. Which is the third smallest value? (a) 0.1 (b) k (c) q (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1761, 1757, 1749, 1737, 1721, 1701?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46998*d - 15727*d - 15631*d - 15638*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 18. Let s be v(-6). Suppose -4*w = -0*w + s. Is -5 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2)*(-287 + 330 - 369) + (-4 - 5 + 4 + 2*n)*(-1 + 3 + 0).\nAnswer: -322*n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6\/5))\/(o*o\/(o\/(o**(-8\/9)\/o)))*(o**(3\/7)\/o)**(-4) assuming o is positive.\nAnswer: o**(937\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*t - 96*t - 4930 = 378*t + 16286 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 40?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4262531449 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 102?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-20))\/(28\/1050)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 199600?\nAnswer: 199600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/12 + 7*y**3\/6 + y**2\/2 + 3*y. Let w(b) = b + 9. Let h be w(-4). List the prime factors of t(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 1, z: 1, c: 7, j: 4}. Give prob of picking 1 r, 1 z, and 1 c.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233222 + 1?\nAnswer: -233221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - (-270)\/12. Suppose -n + 59 = 2*u. Calculate the remainder when ((-6)\/(-5))\/(u\/60) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7.3. Suppose -2*s + 4*o - 26 = 0, 5*o - 3*o = -s + 7. Sort s, -0.03, t in increasing order.\nAnswer: s, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -12*p + 6*p + 44, 0 = 3*w + 3*p - 15. Let h be ((-1)\/(-6))\/(2\/4). Which is the biggest value? (a) -22 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 59 - 34 + 86*s**2)*(0*s + 0*s + 2*s).\nAnswer: 172*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 15 = 46*r. Is (r + 5 + 0)\/((-2)\/(-15)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*l + 5*c, -17*l - 3*c - 13 = -87*l - 62 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 34. Suppose d*f + 0*f = 8. Is f + 4\/(16\/116) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 + 160*y**3 + 900*y**2 - 5680*y + 6400 = 0. Calculate y.\nAnswer: -20, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 + 267*b**2 - 773*b - 83. What is a(86)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477358315 by 1.\nAnswer: -477358315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -77*k + 2. Let p be n(-2). Suppose 5*s - 2*i - 2757 = 0, p = 4*s + i - 2060. What are the prime factors of s?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -3 - -10 - 14 - (0 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + x + 4*x**3 - 15*x to the form o*x**2 + i*x**3 + r*x + k and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -760 + 764. Let a(x) = -2*x + 5. Calculate the remainder when a(-5) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeudevndneene. Give prob of picking 1 e and 1 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001575587 rounded to 6 decimal places?\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m + 555. Let f = 99 - 157. Let k = f - m. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a + 8. Suppose 0 = -4*u - 16, 6*q + u - 88 = a*q. Let n = -14 + q. What is the remainder when 33 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 9. Let l(f) be the second derivative of 5\/2*f**3 + 3 + 19*f - 19\/2*f**2. What is -6*l(u) - 13*x(u)?\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4238, -16864, -37914, -67394, -105310, -151668?\nAnswer: -206474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 114607?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + u - 147*u**3 + 121*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + -1002021111?\nAnswer: -1002022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47947 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 1. Suppose 2*w = -12 + 4. Let n(g) = -g**2 - 5*g - 6. Let l be n(w). Let p = l - -1. What is j(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11) + 2*sqrt(11)) + sqrt(55)\/sqrt(5)*-5 + -2*(sqrt(396) + sqrt(11))*-4*-3)**2.\nAnswer: 352451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 41. Suppose -9*w + o + 23 = 0. Suppose -w*u + 134 = -46. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(((r**(2\/11)*r*r)\/r)\/r*r))\/(r*r*r**(3\/4)*r))**7\/((r*r**3)\/r**(1\/2)*((r\/(r*r**0))\/r)**26) assuming r is positive.\nAnswer: r**(87\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 394*a - 398*a - 6, -8*a = -4*f + 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3746736 and 216.\nAnswer: 3746736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/112 and 29\/10024.\nAnswer: 20048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 + 2*m. Let j(g) = 90*g**2 + 27*g. Suppose -20 + 16 = 2*q. What is q*j(n) + 27*o(n)?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -5, 2 in ascending order.\nAnswer: -5, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a62 - -3?\nAnswer: 1a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 + 400*g**2 - 12628*g + 121032 = 0. What is g?\nAnswer: 18, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -14490 in decreasing order.\nAnswer: -4, -5, -14490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21183 - -21298. What is the greatest common factor of g and 2438?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 1526 = 21*m + d, -2*m + 756 = -4*d. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -290368, -580770, -871202, -1161664, -1452156, -1742678, -2033230?\n\"Answer: -15*c**2 - 290357*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**2 - 147*j + 876.\nAnswer: -3*(j - 4)*(6*j + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17189 is divided by 64.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3847*w**2 - 4*w + 2. Let v(m) = -19180*m**2 - 22*m + 10. Let z(l) = -11*i(l) + 2*v(l). Let y(r) = r**2. Determine z(y(s)).\nAnswer: 3957*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*((c*c*c**(1\/2)*c*c)\/c)\/c)\/c*c\/(c*c**(-23)) assuming c is positive.\nAnswer: c**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**3 - 1755*r**2 - r - 563. Calculate a(-351).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17 + 12 + 2 - 88567*p. Suppose 10*a = 2 - 72. Let o be w(a). Round o to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let q(u) = u**2 + 2*u - 19. Let g be q(-6). Let n(z) = 0*z + z**2 - 2*z + g*z - 2*z + 1. Calculate n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1056)\/(-176)*(-1)\/9*(-2)\/20?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -15. Suppose 45 = r + 7*b - 3*b, r - 45 = 3*b. Find the common denominator of 2\/m*25 + -1 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1 (c) 0.1 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 + 3979*s + 28442. Determine t(-7).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - 45 - (-1 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.039 and 0.106.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -1. What is the remainder when 17 is divided by (0 - n)*(-12)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-760))\/((42\/4902)\/7)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -110158.11 to the nearest 1000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/128284 and -63\/4?\nAnswer: 128284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 0*n + 11*n + 11958 + 3*n.\nAnswer: -2*n + 11958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1\/2 (c) 0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295 - 672. Let w = u - -753. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + 27. Let d = 2\/13277 - 1022365\/238986. What is the common denominator of -2 - (-2)\/(66\/v) and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (28 - (-21 - -22)) + 24?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1401232 - -1235?\nAnswer: 1402511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -43. What is the smallest value in i, 0.7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:54 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33900*a**5 - 25*a**3 - 10931236*a**2.\nAnswer: 2034000*a**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*sqrt(104)*3 + (-3*(sqrt(104)*-3 - sqrt(104)) - sqrt(104)))\/(6*(sqrt(128) + (sqrt(128) + 2*sqrt(128))*-4)).\nAnswer: -1 + sqrt(13)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**0\/v))**(-15)\/(v*v*(v*(v\/v**(-2\/7))\/v)\/v)**(-47))\/((v\/(v**(-2\/3)\/v))\/((v**(-6)\/v)\/v)*(v*v**(-2)*v)\/v**1) assuming v is positive.\nAnswer: v**(1108\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2754, 2868, 3048, 3294, 3606, 3984, 4428?\n\"Answer: 33*w**2 + 15*w + 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -662.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 + 8*h + 11. What is the units digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4896 and 2880?\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747846 <= 3747837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/15)\/3*(1 + -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (792\/(-32))\/(-11)*(-1232)\/462 - (-88)\/(-2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174\/27 + (-438)\/73 - (-9 - (-370)\/90)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - 2*s - s - 5*s - 2*s + (0 + 2 + 0)*(5*s - s - 3*s) + 3*s - 2*s + s - 2*s - s + 2*s - 3*s - 8 + 8)*(-8*s - 5*s + 10*s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.2, -19, 40, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 44 - (-6 + (-9 - (0 + -5)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5725 (base 12) to base 15.\nAnswer: -2d02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4347)\/(-42))\/69)\/(3\/(-44))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(1*-4*(sqrt(500) + (sqrt(500) + 3 - sqrt(500)))*3 + -5)*4)**2.\nAnswer: 157440*sqrt(5) + 1178891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*u, -2*v - 3*u + 75 = -6*u. Calculate the remainder when 195 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 3. Let q = c - 16. Let h(u) = 2*u + 3 + q - 2. Calculate h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (9\/(-9) - -110). Suppose -31*x + a = -39. Solve x*m = 2*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*k + 12204 = 219 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + s = -16, 4*f - 5*s = 2*f + 8. What is the third smallest value in 54, f, -1\/4?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/3969*(-312)\/4.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326755021?\nAnswer: 17, 3613, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3623 (b) 106\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r\/((r**0*r)\/r)))\/r*r))**(-3))**(1\/2) assuming r is positive.\nAnswer: r**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 52*w + 58. Let y(q) = -q**2 - 206*q - 232. Let u(v) = 18*i(v) + 4*y(v). Let u(s) = 0. Calculate s.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 0.3, 6\/17, 13, 2\/13 in decreasing order.\nAnswer: 13, 0.5, 6\/17, 0.3, 0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*y + 2321 = 399 - 736 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyp when three letters picked without replacement from pppyyyypypd?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9936979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/10131 (c) -390 (d) 0 (e) -4\/5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*7\/2*1. Suppose 2*v - n = v. Suppose v*u + 6 = 4*u. Let z(c) = c**3 + 3*c**2 + 3*c + 1. Determine z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911075269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 13*y**2 - 12*y - 11. What is the smallest common multiple of z(14) and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -721 + -3?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 134.\nAnswer: -3\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 - (-72)\/280.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -507, 93, 0.1?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + -3*(-6*sqrt(99) + sqrt(99) + sqrt(99)) + sqrt(99)))**2.\nAnswer: 77616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898244, 898264, 898300, 898358, 898444, 898564?\nAnswer: 898724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g + 1. Let r(d) = 7*d**3 + 3*d**2 - 3*d + 3. Let j be (-2 - 36\/(-12))\/(-1). Calculate j*r(k) + 3*i(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 4*1957\/10 - (-1)\/5*1?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2 and -77\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8d (base 16) in base 5?\nAnswer: -100323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -2*sqrt(243) + sqrt(243)*-2 + -2)**2*-6.\nAnswer: -23352 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 3524 + 3748 = 8*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.003 - 0.103. Which is the biggest value? (a) -0.86 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let l(m) be the second derivative of -2947*m**3\/3 - 463*m + 2. What is d(l(v))?\nAnswer: -5894*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -2169.\nAnswer: -49\/2169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = -2905. Suppose 0*w - 7*w = -m. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 2 + sqrt(80))*-6*-6 - -3*(-4 + sqrt(125)*-2).\nAnswer: 60 + 258*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/2 - 80*a**3 - 1239*a**2\/2 + 5897*a - 8684 = 0. What is a?\nAnswer: -13, 2, 4, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117170 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4679 (base 10) to base 11.\nAnswer: 3574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41314573805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -2, 0.4, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19157 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -15 + 6. Let r be (-2 - g)*(2 - 1). Which is greater: -4\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.66*-69\nAnswer: -2115.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 271, 303, 401, 595, 915, 1391, 2053?\nAnswer: 2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216000 and 1215.\nAnswer: 1944000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 26, 65, 30 in descending order.\nAnswer: 65, 30, 26, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhhhzhhzh. Give prob of picking 2 z and 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**2 + 57*g**2 - 27*g**2.\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31324 - -31328. What is the third smallest value in -2\/133, -0.27, -3\/8, r?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -146 + 152. Sort -3, a, -14 in descending order.\nAnswer: a, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**3 + z**3 + (3*z**3 - z**3 - z**3)*(1 + 2 - 1) + 3*z**3 + 2*z**3 + 3*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Suppose -1 = 4*b - 37. Let n(c) = -b + 2*c + 9. Give n(l(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*b + b + 69, -2*d + 28 = 4*b. Let n = -2766 + 2774. Let p be (n*2\/d)\/(1\/10). Solve 0 = x + u - 8, -3*x + p - 24 = -5*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 less than 294478.8813?\nAnswer: 294479.1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**2 + 426 - 5*a**3 - 22*a**2 - 266.\nAnswer: -5*(a - 2)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -533 + 539. Suppose -3*f = -q, -4*v + 1758 = 2*f + 446. Suppose 3 = 3*n, -4*n = -4*y - 3*n + 219. Calculate the remainder when v is divided by y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 22*w**2 - 5*w + 19. Let i be s(-22). Differentiate -256*t - 64 + i*t + 131*t with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 2*j - 2. Let p be t(-1). Suppose 4*d - 95 - 91 = -p*q, 0 = 3*q + 6. What is the remainder when 143 is divided by d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 899, 2, 3, 149, -5?\nAnswer: 899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and 3889.29.\nAnswer: 3889.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.5, 14\/9, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 15 - 6*s - 22 to b + m*s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**46*(v**(-4)*v)\/((v**(-5)\/v*v)\/v))**9 assuming v is positive.\nAnswer: v**(-387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 - 70*h - 11. Determine b(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*h - 1, 4*o - 5*h + 4 = o. Let g = 18 - o. Suppose 1 + g = l. Solve 0 = -x + 4*x + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771856816 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from gggiggigggiggggggii.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 24*x + 384 = 0. Calculate x.\nAnswer: -8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + j**2 - 5*j**2)*(3*j**3 - 4*j**3 - j**3 + (-4*j**2 + 5*j**2 + 0*j**2)*(-4*j + j - 5*j)).\nAnswer: 20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7796 - 2*s**3 + 2*s - s**2 - 7799 + s + 6*s**3. Let b(c) = 7*c**3 - c**2 + 5*c - 6. Calculate -3*b(l) + 5*d(l).\nAnswer: -l**3 - 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, v: 3}. Give prob of picking 1 i and 1 v.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 571937741 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 9*x**4\/5 - 29*x**3\/5 + 33*x**2\/5 - 3*x + 2\/5 = 0?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = 3*y + 5*g, -3*g = 3*y + 18. Let n = y + 20. What is the greatest common factor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 1, 5, 18 in increasing order.\nAnswer: -11, 0, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -239, -1377, -3447, -6479, -10503, -15549, -21647, -28827?\n\"Answer: -5*x**3 - 436*x**2 + 205*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - s + 7*s. Suppose 0 = 7*r - s*r - 49. Suppose -r*h + 161 = -6*h. What are the prime factors of h?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5450 and 4360?\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 + 48*c**4 + 456*c**3 + 2144*c**2 + 4992*c + 4608 = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 - 7*q + 6. Let d(i) = -2*i**3 + 9*i**2 - 15*i + 13. Let v = 10 + -4. Let z(k) = v*d(k) - 13*r(k). Let y = -6 + 4. Give z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 11. Let s(m) = -5*m**2 + 9*m + 6. Let f(d) = 35*d**2 - 60*d - 40. Let l(a) = -3*f(a) - 20*s(a). Give l(n(x)).\nAnswer: -20*x**4 - 220*x**2 - 605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 0*u**3 - 15*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2)*(2 - 0)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*p - 20476 = 10484, 18588 = 3*m + 3*p. Is (53 + -51)\/(1\/(m\/4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (0 - -35) - (-26 - -23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e13 + -171?\nAnswer: -10f84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-560)*14*315\/(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(16\/20)*19\/(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3153363 (base 7) in base 3?\nAnswer: -201110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -101. Let p = 127 + z. Suppose 2*d + p = 3*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) 4 (c) 16\/11 (d) -0.246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 878 + 12156 = 0. Calculate the highest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 368 - 207. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 0*u**3 - 4*u + 17*u**4 + 5\/2*u**2 + 88. What is the second derivative of r(f) wrt f?\nAnswer: 408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1048011832 rounded to 4 decimal places?\nAnswer: -0.1048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - -18370042?\nAnswer: 18370004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.339 + 0.061. Let t = -5 + g. Put t, 5, -2\/3 in descending order.\nAnswer: 5, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -5\/6, -2.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 5. Let n(a) = -2*a**3 + 3*a**2 - 12*a + 24. Let z be n(2). Determine l(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:25 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3 - 82. Let w(m) = 12*m**2. Calculate k(w(o)).\nAnswer: -432*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**3 + 172*u**2 + 4*u - 172 = 0.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 608790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, -11\/15, 3\/4 in increasing order.\nAnswer: -11\/15, -0.4, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1069360125 divided by 213872025.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -193, -385, -577, -769?\n\"Answer: -192*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -1. Suppose 115 = 5*d + 4*j, -p*d + 36 = 4*j - 52. Suppose 70 - 25 = 3*s. Calculate the remainder when d is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 1. Let v(x) be the third derivative of x**4\/12 - x**3\/6 - 3*x**2 + 23*x. Give 2*v(d) + 3*y(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/5)*b**(-2\/15))\/(b**(-2\/7))**11*(b**(-2\/7)\/b**(-12))**18 assuming b is positive.\nAnswer: b**(638\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 14361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 + 15*f - 10. Let z(d) = 5*d**2 - 18*d + 11. Let k(u) = 6*j(u) + 5*z(u). Let b(y) = -6*y**2 + 77*y + 13. Let o be b(13). Determine k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:46 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010011010000001 (base 2) in base 9?\nAnswer: 124370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7) + (-204)\/3060?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 3. Let b be n(3). Let m(t) = t**3 - 2*t**2 - 3*t + 2. Let x be m(b). Solve -2 + 4*a**2 - 2*a**2 + 4*a - 2*a**x - 2*a**2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2937958, 2937961, 2937966, 2937973, 2937982, 2937993?\nAnswer: 2938006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 68?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.141 - 0.141217. Round m to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-6)\/24 + (-19)\/(-4). Does 24 divide r\/(16\/6)*(-656)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*p, -2*d + d + 10 = p. Suppose 0 = z - d*z. Let i(o) = -o**2 - o - 2. What is i(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 73*p + 68*p = -488285, -3*p = -q + 97665. Suppose 20*u = 2*k + 19*u - 39060, 5*k - q = -2*u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26917 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8359, 8348, 8337, 8326?\n\"Answer: -11*v + 8370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2828742 is divided by 2332.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.914, -2, -1\/101 in ascending order.\nAnswer: -2, -0.914, -1\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84248 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31760125?\nAnswer: 5, 23, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(-2*v + 6*v - v)*((4*v + 3 - 3)*(-2*v**2 - v**2 + 2*v**2) - 135*v**2 + 135*v**2 + 20*v**3).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.53 - 0.03. Let s = -56 - -62. Which is the nearest to 0.1? (a) s (b) -4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 323*k + 2294. Give t(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103\/39 - 9\/13. Let c = -3 - p. Let f = 0.016 + -1.016. What is the nearest to c in f, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (0 - (-1 + 2)) - -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:45 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) + 1765 + 0. Let g = 2834 - y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - (sqrt(152) + -4*(sqrt(152) + (2*sqrt(152) - sqrt(152))))) + sqrt(152))\/sqrt(8))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181733903.\nAnswer: 13, 13979531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -7*c + 2. Solve -4*o - 2 = c*h, -h = -0 - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeypppeeeyeeegeeyeep. What is prob of picking 1 g, 2 y, and 1 e?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 913371*v**2. Let t(x) = 3*x**2. Calculate b(t(n)).\nAnswer: 8220339*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*44\/(-6). Let y(k) = k**2 + 10*k - 12. Let s be y(x). What is the tens digit of s\/(-4) + 153\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205665 - 4224?\nAnswer: -213222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40924339 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 596, 894, 1192, 1490, 1788?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2 - 33*x + 90 = 0.\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89357266 + 89357266 - 10*x + 4*x - 10*x**3 - 19*x**3 - 7*x**3.\nAnswer: -36*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 + s**2 - s + 3. Let p(q) = -q**3 - q. Let m(v) = -i(v) - 3*p(v). What is the remainder when 114 is divided by m(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9753304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -54 - (-3 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/4 + -4. Put y, 1, 14 in increasing order.\nAnswer: y, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 49 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111220 - 1120?\nAnswer: -1120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 5*h - 7. Let i be m(8). Solve -4*k + 29 = 4*l - k, -k = -4*l + i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/7)*v))\/v)**(3\/4) assuming v is positive.\nAnswer: v**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 404951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i - 14. Calculate the remainder when v(5) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 158, 120, 82, 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/3 (b) -14898 (c) -0.6 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1259 - 6383?\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11869*p - 70221. What is s(6)?\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -269.672 and -3?\nAnswer: 809.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(2 - 2*c - 2) - 188 + 77*c + 188.\nAnswer: 75*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 0*f**3 - 33*f - 81 - 608 + 31*f + f**3 - 64 to z*f**2 + y*f**4 + i*f + c*f**3 + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 124*r + 107*r - 3*r**2 + 57*r as y*r + g*r**2 + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*u - 1641170 = u, 2*i + 1641167 = -5*u. Let a be i\/(-133) - (-2)\/14. Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let m(h) = -3*h - 3. Let u be m(-2). Let t(a) be the first derivative of -3*a**3 + 108 - 3*a + u*a - 96. Calculate f(t(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - 2*sqrt(1088)*2) + (1 + sqrt(1088))*6 + sqrt(1088))**2.\nAnswer: 384*sqrt(17) + 17444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*g - 3*g + 9, 3*g - 5*a = 15. Let l be (-1 - -4) + (-2)\/2. Suppose -o - l*o = g. Solve o = -4*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c**3 - 19*c**2 - 11*c + 11. Let g(z) = -7*z**3 + 10*z**2 + 6*z - 6. Give 11*g(r) + 6*l(r).\nAnswer: 7*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36 and 1\/684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 2 = 20*k. Suppose -7*v - 25 = -k*v, -4*v = -4*m + 32. Let b(t) = 18*t + 4. What is the tens digit of b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*t + 75 = 0, 77 + 14 = a - 3*t. Suppose 8*z - a = 5699. List the prime factors of z.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 88 = 4*l. Let q = 57 + l. Solve 3*v + q = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 3*t**2. Suppose -y - w + 7 = 0, 10*y + 23 = 15*y + w. What is b(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1455.9, -2.\nAnswer: -2, 0.01, 1455.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43596861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144989147, 289978298, 434967449, 579956600?\nAnswer: 724945751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 80030.4 micrograms?\nAnswer: 0.0000000800304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2748 (base 15) to base 11.\nAnswer: 6340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1324.6 + -1315. Let o = -27 + 29. Which is the smallest value? (a) 1 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.29 and -653491.\nAnswer: -653483.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 57.028. What is t rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*k**3 + 18*k**2 + 6048\/5 + 1296\/5*k = 0. What is k?\nAnswer: -21, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 - 5 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9409248\/(-142524) - 4\/(-214).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -977469 = -86*m - 11*m. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(21*t - 2 + 0 - 18*t) in the form j + o*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255.5 + 256. Let q be (-4)\/(-9)*(-3)\/(-2). Let l be 8\/(-168) + (-2)\/(-6). What is the second smallest value in u, q, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112385 + 112386.10626. Round s to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 2, o: 2}. What is prob of sequence on?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(275) + sqrt(11) + 3 - (sqrt(121) + (sqrt(121) - 3*sqrt(121)) + sqrt(121))\/sqrt(11))**2.\nAnswer: 36*sqrt(11) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 1 = -18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261391351?\nAnswer: 11, 114671941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i**(-1)*i))**(18\/11)*(i**(-1))**11\/(i**(-2)\/((i*i**3*i)\/i)) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.6 - 16. Sort -5, v, -3 in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 248\/(-18) + (-8)\/36. Let z be (-1249)\/s + (-6)\/(-21). Let d = 92 - z. What is the nearest to -1 in -0.5, d, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let c = d + -0.3. Let s be 2\/(-12) + (-4)\/(-6). What is the biggest value in -3, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 4*y + 9*y.\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 100101?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6073914*g**3 + 18*g**2 - 2*g + 20596 wrt g?\nAnswer: 36443484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + -3. Let n = m + 0.8999. What is n rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*r - 168, 4*u = -3*r + 1 + 170. Suppose 5*a - 2 - r = 0. Solve -a = -4*m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 26 + 38 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3*j - 3*j + (-4 + 3 - 1)*(0*j - 3*j + 4*j) + 3 - 2*j - 3)*((0 + 0 - 2*j)*(14 - 12 + 12) - 5*j - j + j).\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*i = -51*n - 1113*i + 146, 5*n + 96 = 4*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7006, -14026, -21040, -28048, -35050?\nAnswer: -42046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9856061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.80876 and -0.2.\nAnswer: 0.761752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = p + 226, 3*f - 3*p - 682 = 2*p. Suppose -4*s - f = -8*s. Suppose -20 = 4*q - s. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 5, i: 1, x: 3, z: 1, d: 3}. Give prob of sequence eb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1364154 - 1?\nAnswer: 1364153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14384*a*d*l**2*w + 3*a*d*l*w**3 + 15*d*l**2*w**3 - 6*d*l**2*w - 2*d*w**3 + 21*l*w**3 - 4*w**2 wrt a.\nAnswer: 14384*d*l**2*w + 3*d*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/20 - 7*r**4\/12 - 2*r**2 - 29*r. Suppose 0 = 4*m + 3*c + 19, 13 = -4*m + 5*c - 30. Let n be z(m). Sort n, -2, -5.\nAnswer: -5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 20.3, 12\/11.\nAnswer: 2\/19, 12\/11, 20.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1298? (a) 0.4 (b) -5 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 104434?\nAnswer: -104433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -1 (c) 2\/11 (d) -2\/3 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -40)\/(0 - 1). Let z = -6 + c. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 40. Suppose 0 = 3*o + 4*w - m, -4*w = 2*o - 19 - 3. Let f(x) = 6*x**3 + x**2 + 615*x - 617. Let d be f(1). Sort o, -1, d.\nAnswer: -1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -11*n**3 + 0*n**5 + 0*n**2 - 47 + 0*n**4 + 0*n - 15\/2*n**6. Find the third derivative of t(o) wrt o.\nAnswer: -2700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) 0.1 (c) 3 (d) -4 (e) 1 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (5 - (-39)\/(-9)). Factor 0*j - 2\/3*j**4 - 2\/3*j**5 + 0 + 2\/3*j**2 + o*j**3.\nAnswer: -2*j**2*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 e when three letters picked without replacement from {o: 2, x: 6, z: 2, h: 1, e: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o**3 - 3 - 2*o - 31*o**3 - 15*o - 3*o**2 + 4*o**2 wrt o?\nAnswer: -150*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/45? (a) -43 (b) 3\/2 (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-923)\/(-182) + (0 - -1) and 61\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:01 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*35\/((-2205)\/42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y - 4. Let v(g) be the second derivative of -9*g**3\/2 + 15*g**2\/2 - 10*g. Let a(t) = 15*h(t) + 4*v(t). Let o(w) = -9*w. Give a(o(q)).\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 5934635, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6)*z*(z*(z**(1\/12)\/z*z)\/z)\/z)\/(z\/(z**(-1)\/z))**(-43\/3) assuming z is positive.\nAnswer: z**(515\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*u = -4*p + 5, 0 = -u - 3. Solve 3*r - 5 = p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 41 = -1. Suppose -3*b + 1377 = 2*n, -718 = 3*b - g*n - 2077. What are the prime factors of b?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuunnuu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1386 and 1331484.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74245 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 21. Let q be p(14). Is 8 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -3\/5 (c) -213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 238 = 84*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25 + -2)*(-4 - -5). What is the derivative of -4*y + 4*y + 5*y**4 + 6*y**4 + g wrt y?\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 232666 = 36972. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 < -56446\/2413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817580699.\nAnswer: 13, 67, 97, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409242*j + 427222*j - 2 - 836486*j + 2.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*v - 67, 4*v = 2*v - 2. Let w be (o\/(-15))\/(2\/(-6)). Let c(g) = -7*g - 7. Does 21 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10828.0833 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42437884 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 + b + 2. Let n be m(-1). Let o be 1\/n*(-11)\/(77\/28). Let i = -214\/5 - -44. Does o = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 214, 266, 370, 544, 806, 1174?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121803503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3685256 divided by -1842628\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 102901033483?\nAnswer: -102901033483.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (378\/(-8) - -2)*(46 - 54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - c = 3*c + 28, -5*j - 12 = -2*c. Let q be 2*(-1)\/j*8. Let n(k) = k + 1. Let p(t) = -3*t - 9. Let h(l) = -5*n(l) - p(l). Calculate h(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0079485 + -0.00768. What is i rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 14*i - 41. Calculate t(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4277\/(-94))\/91*-5*6)\/(3\/(-15)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276\/(-15)*(-110)\/(-88)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1760\/7 - -252. Suppose 30 = -r + 6*r. Let u be (4\/3)\/(2\/r). Which is the biggest value? (a) u (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 9*l**2 - 2. Let u be n(9). Let p = 1142\/19 + -60. Which is the closest to 4? (a) u (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*g + 1 - 19 = 0, -3*g = -3. Calculate the smallest common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1126*v - 77648. Determine z(-69).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.24 + 3.3. Which is the third biggest value? (a) 0 (b) 2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3 - 13 - b + 29. Let g be a(10). Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 3\/2*v**2 - 1\/6*v**3 + v + 0. Let m be i(4). Is m greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*w**4 + 147*w**3 - 166*w**4 - 145*w**3 + 4*w + 8 wrt w?\nAnswer: -1392*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1288157 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88636983*n**2 + 17384273?\nAnswer: 177273966*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4\/7, 1\/28, -5 in increasing order.\nAnswer: -5, -4\/7, 1\/28, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5939*i**3 - 342*i.\nAnswer: -35634*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78226*v**5 + 1335*v**2 - 23?\nAnswer: -4693560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2213764, 2213761, 2213758?\n\"Answer: -3*t + 2213767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 3, p: 1, d: 7, r: 5}. What is prob of picking 1 p, 1 r, and 1 x?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16441362 by 42.\nAnswer: 391461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 53*u + 29. Let k be o(-27). Suppose 2*c = -4*g - 0*c + 94, k*g - 3*c - 59 = 0. Calculate the highest common divisor of g and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 348 + 2463. Calculate the greatest common divisor of v and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = 8*c - 3186. Let r = c + 608. Calculate the highest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (46\/12 - (-8)\/48)*-13270. Round k to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15080 - -2648. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 divided by -38731?\nAnswer: -967\/38731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.6 + 4. Let x = -0.52 + 0.02. Let v = -80\/117 + 6\/13. What is the third smallest value in x, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1273466)\/(-444))\/((-2)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/51 and -56\/171.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 > -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*p - 0. Let n(d) = -d - 3. Suppose 7 = -8*u + 7. Let b(m) = -414*m + u + 411*m - 10. Calculate p*n(h) + 2*b(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/720 and 149\/92148.\nAnswer: 5528880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 7.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u + 2. Let i(b) = 2*b**2 - 25*b - 28. Let m be i(13). Let q(o) = -78*o - 15. What is m*f(j) - 2*q(j)?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 48d?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhhbbbbhbbfhfh. What is prob of sequence fh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0)*(5 + 6 - 7)*(-2*l**3 + 3*l**3 + 0*l**3) as h*l**3 + r*l + k + g*l**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 217303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3111?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 + t - 1. Let f be n(4). Suppose -f*g = -g - 10. Solve 5*d = -4*a + 3*a + 25, -g*d + 25 = 3*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2.59 (c) 1 (d) 0.6 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s + s**2 + 14*s - 26*s - 4. Suppose 2*z + 0*z + 2 = 0. Let b be z\/(-3) - 2\/6. Give o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-22)*-4*2\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10899 times -21?\nAnswer: 228879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 + 250. Calculate the highest common factor of f and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 - 5.5. What is the third biggest value in 0.2, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 162, 330, 504, 684, 870, 1062?\n\"Answer: 3*c**2 + 159*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 748*t**4 + 9365*t**3 + 2778075*t**2 wrt t.\nAnswer: 17952*t + 56190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*a - 11, 51*a - 47*a - 16 = 0. Sort -0.269, h, 0.4.\nAnswer: h, -0.269, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256 - 6*v + 45*v - 31*v - 3*v**2 - 8*v to the form t + r*v**2 + g*v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18300*i + 15536706. Calculate z(849).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0*h)\/h*h**9)**(-2\/19) assuming h is positive.\nAnswer: h**(-20\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*k*v + 16647*j*k + 6658*j - k*v + k + 36*v + 2 wrt k?\nAnswer: -j*v + 16647*j - v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*n - 41 + 150, 15 = 3*n. Let o = 135 + s. Solve 0 = -d - 3 - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46873 - 93790 + 46874 - 2*s + 0*s.\nAnswer: -2*s - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:00 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -89231411.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 108 = -7*m. Let p = -2852 - -2862. Calculate the remainder when m is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from gtggcnc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/5 - (-1 - 116). Suppose -m + l = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-42)\/69) - -3. Which is the closest to -3\/5? (a) 0.5 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8) + 0 + (-4)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 123.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((-4)\/(-14) + (-765)\/(-238)). Sort -1\/5, j, -4691 in increasing order.\nAnswer: -4691, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.63537 rounded to one decimal place?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38992*w**2 + 11366*w wrt w?\nAnswer: -77984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -36.92. Let g = 15695615 - 15695615.08000081. Let v = g + r. What is v rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193800 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 14 - 5 - (-23 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 10035850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2010*v - 299385. Calculate u(149).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 13. Calculate the remainder when 156\/4 + -2 + 1 is divided by q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 7\/60*g**5 + 0*g**3 + 0*g**7 + 0*g + 1\/42*g**8 + 0*g**4 + 0*g**6 + 0 - 8*g**2. Find the third derivative of x(m) wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*y + 10*y - 5*y)*(-2 - 4 + 4)*(1 - 2*y - 1) in the form q*y**2 + m + k*y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(180) + -1)**2 + sqrt(180))*2 - (sqrt(180) - (-1 + -1*sqrt(180)) - (sqrt(180) - (-1 + sqrt(180)))**2*2))*1.\nAnswer: -24*sqrt(5) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -5)\/((-9)\/636). Let s = -78 - d. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -0.07. Put t, 3, 4 in decreasing order.\nAnswer: 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167953 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/50 - (530748\/(-25) - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (125 + -22) - 15.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8259, 16540, 24841, 33168, 41527, 49924, 58365, 66856?\n\"Answer: k**3 + 4*k**2 + 8262*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-78)\/(-33))\/(-26))\/1)\/((-1)\/451).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/3*(-858)\/(-208)*-2. Calculate the highest common factor of 1375 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*s + 4*u + 16, -s = -4*u - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3612 and 50840706?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, 69, 100, 131, 162, 193?\n\"Answer: 31*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677910071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 28) + 0 + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1 - t - 5 - 8*t**3 + t**3 - 8*t**2. Let p(o) be the first derivative of -2*o**4 - 3*o**3 - o**2\/2 - 7*o + 2556. What is 6*p(m) - 7*s(m)?\nAnswer: m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1000600, -1000608, -1000618, -1000630?\n\"Answer: -i**2 - 5*i - 1000594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**5 - s**4 + s**2 - s. Let v(f) = 20*f**5 + 6*f**4 - 33*f**2 + 6*f. Let n(z) = -6*k(z) - v(z). Find the third derivative of n(l) wrt l.\nAnswer: -840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -428272362 divided by 3?\nAnswer: -142757454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzzzzszsz. What is prob of sequence zszs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -441.\nAnswer: -31\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883065 is divided by 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 10. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/2176 and -73\/98056.\nAnswer: 1568896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*y - 72. Suppose -41*g + 8*g = 29*g - 1364. Calculate the lowest common multiple of g and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545 + 455. Let o = f + 90.5. Sort -24, 5, o in descending order.\nAnswer: 5, o, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:57 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from wrarwaaaaaawaw.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(0 + 1 + 1)*(7 + 0 - 1)*(0*q - q + 0*q).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 541, -91 in descending order.\nAnswer: 541, -11, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/4519408 and 19\/32?\nAnswer: 9038816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14. Suppose -7*g + 5*g + 18000 = p. Let f be (1 + (-410 - 1))*g\/1. What is f rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 7*f - 6. Let q(m) = 66*m**2 + m + 1. Let u be q(-1). Suppose -b + u = b. What is the smallest common multiple of r(4) and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9250748ml?\nAnswer: 0.0009250748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**3 - 4*c**2 - 5*c - 6. Let u(v) = -11*v**3 + 8*v**2 + 11*v + 13. Give 6*u(m) + 13*z(m).\nAnswer: -m**3 - 4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(36\/720*85)*3\/(-2).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(40\/24*9\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*g - 118 = -7*j, g + 1 = 0. Is -3*(-10)\/j*28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21903 and 111964113?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107517128 to the nearest integer?\nAnswer: 10369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 636*x + 937*x - 1164*x - 1 in the form l*x + a and give l.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*m**2 - 6 - 1 + 423*m**2 - 220*m**2.\nAnswer: -11*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + a + 97 + 87 = 0, 0 = -2*y + 3*a - 119. Let n = 116 + y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, -4, 1, 2, 81 in increasing order.\nAnswer: -4, -3, 0, 1, 2, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*p + 47 - 136, -5*b = 5*p - 245. Let l be 4\/b + 154\/26. Solve 0 = l*t - 24 - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365002 * -0.2\nAnswer: -73000.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:06 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*n - 2*u = -109*n + 36, n - 4*u - 32 = 0. Let h(i) be the third derivative of -i**5\/60 + i**4\/4 + 11*i**3\/6 - 3*i**2. What is h(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 579*s - 19744 = 0 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307178474 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: Sort 17.4, 3\/137, 0.9 in decreasing order.\nAnswer: 17.4, 0.9, 3\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 + -8. Let o = v + 0.1. Sort o, 2, -5.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(10))\/sqrt(2) + -4 + 1)*3.\nAnswer: -9 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12106?\nAnswer: 2, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -186798*u**2 - 319. Let s(z) = z. What is q(s(x))?\nAnswer: -186798*x**2 - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -159*z**2 + 41*z**2 + 43*z**2 + 40*z**2 + 33*z**2. Let p(q) = -3*q + 1. Let n(y) = 10*y - 4. Let t(u) = -6*n(u) - 21*p(u). Give l(t(j)).\nAnswer: -18*j**2 - 36*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l**(6\/11))\/(l\/(l\/l**(-3\/7)*l)*(l\/l**(3\/7))\/l*l) assuming l is positive.\nAnswer: l**(-53\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141286\/517 or -273?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104175 and 53695.\nAnswer: 1118735325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 6*g + 10*g)*(3 + 1 - 6).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*x - 1)*(-1 + 0 - 7) + 0*x + 2*x - x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = -4*z, 0*k + z = 4*k - 28. Suppose -51 - 33 = -k*u. Let p be 4\/(-10) - 7\/(-5). Put p, 3, u in decreasing order.\nAnswer: u, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6319 - -11405. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-141)\/(-705) - (0 + (-2)\/(-10)). Which is the nearest to k? (a) -0.5 (b) 442 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3296 and 24308.\nAnswer: 194464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v - 12. Let j(a) = -a**3 - 6*a**2 - 3*a - 4. Does 14 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 106 = -54. Suppose g = -2*d + 152. Let l = -60 + d. Which is bigger: l or -6\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5841 and 7227?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 - j**2 + 3*j - 3. What is u(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**2 + 31*s**2 - 73*s**3 + 34*s**3.\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49445\/17 (b) -0.04 (c) 0.2 (d) -4\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 - -460. Let f = -8 + x. Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 24, 62, 136, 258?\n\"Answer: 2*x**3 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (-1 - (-2)\/1). Let b be 494\/c - 5\/(-25). What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3182?\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = q - 3*s, 9*s - 4*s - 17 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331152 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 + 6 + 7 - 12 as b*x**2 + l*x + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 355938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and 185917062.\nAnswer: 185917077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 14278.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 4. Let l be 23\/(0 - s\/(-5)). Let t = 96 + l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 163978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/3484 and -35\/8.\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-81)\/(-12) - (9\/(-4) - -2). Let b(j) = 13*j**2 - 9*j + 29. Let f be b(k). Suppose 2*q = -85 + f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 + 2 + 8 + -11 - -16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 + 1054 = -14*h. Let r = 98 + h. Let g = 10 - 6. Solve g = r*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12774 and 1379592?\nAnswer: 1379592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4*d - 10, -4*n = -57*d + 61*d - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5065 or 10127\/2?\nAnswer: 10127\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 150?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from czwzwx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -169*r - 112. Let b be f(-8). What is the highest common factor of b and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/24 + w**5\/20 + 8*w**2. Find the third derivative of j(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -713844*b*h**2 + 13*b*h*r + 2*h**2*r - h**2 - 141*h*r + 11*h - 9 wrt b.\nAnswer: -713844*h**2 + 13*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 12) - -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*a**3 - 218*a**3 - 175*a**3 + 595*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + s - 3*s + 2*s + 0*s - 2 - 2*s + 2 + (3 - 3 - 2)*(0 - 2*s + 0) + 2*s + 2*s - 2*s)*(3*s - 3*s - s**4).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*p = 195*p + 80. Put -1, p, -21, -2 in decreasing order.\nAnswer: p, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16237, 32489, 48741, 64993, 81245, 97497?\n\"Answer: 16252*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17685390 + 9?\nAnswer: 17685399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305783 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-600)\/(-45))\/(-8))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 31. Which is the second smallest value? (a) -0.3 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2973620669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -1222178\nAnswer: -10999602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7163*c**2 + 7163*c**2 - 7*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -762*k**3 - 7*k**2 - 7*k - 1. What are the prime factors of q(-1)?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = -2*c + 108, -2*c + 3*v = -105. Suppose -b + c = 4*f, 3*f + 8 + 12 = b. Let m = 66 - b. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.433796 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 732*c + 44652.\nAnswer: 3*(c - 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 5. Let c(m) = -7*m - 4. Let j(p) = 7 - 10 - 2 - 8*p. Let b(g) = i*j(g) - 7*c(g). What is b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gomo. What is prob of picking 1 g and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -174 in descending order.\nAnswer: 4, -19, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 6. Let t(j) be the second derivative of j**2 - 12*j - 4. Calculate 7*t(y) - 2*z(y).\nAnswer: 2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 - 11 + 11)*(3*k - 5*k + 0*k)*(3*k - 3*k - k) to the form b + u*k + o*k**2 and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63202 - 3?\nAnswer: 63199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(sqrt(475)*-1*2 - sqrt(475)) + -4.\nAnswer: -4 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z**2 - 40*z - 13. Let q(p) = -2*p**2 - p - 1. Let x(d) = -c(d) + 3*q(d). Let x(u) = 0. Calculate u.\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 2 x when four letters picked without replacement from aaaafxxfaafa?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)\/a*a)**24*((a\/a**15)\/a*a)\/((a\/(a*a**(-1\/7)))\/a*a) assuming a is positive.\nAnswer: a**(-831\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4699 + 2.4199. Suppose 2*k = -5*t + 81, t - 24 = -t - 5*k. Do u and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686.8 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*v = 7*u + 27051, 0 = -u + 2*v - 6759. Let g = 13762 + u. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -17.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 + 1. Give p(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -45*r + 274. Let o be d(6). Let b(y) = -6*y**3 - 3*y**2 - 3*y - 3. Let f(a) = -7*a**3 - 4*a**2 - 4*a - 4. Give o*b(p) - 3*f(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 216.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -1 - 2) + -279. What is the remainder when 4\/14 + w\/(-7) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 42. Let o(r) = -38*r**2 + r + 187*r**3 + 40*r**x - 3*r + 2. Let u be o(1). Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.11. Let c = 0.00992 - i. Round c to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6713099 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(320)*-2 - (-4*1*sqrt(5))**2).\nAnswer: -81 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -21, -31, -33, -21, 11, 69?\n\"Answer: r**3 - 5*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + q + 22*q**2 - 13*q**2 - 3 + 0. Is m(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 20*u + 11. Let a be t(-14). What is the remainder when 41 is divided by (a - -74)*(26 + 2\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27442 + 6533734\nAnswer: 6561176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 12:29 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303.227t in nanograms?\nAnswer: 2303227000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -59. Solve -4*g - 5 = i - t*i, 5*g = -2*i - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 70572*r**2 - 3243138*r + 37283920.\nAnswer: -2*(r - 35240)*(r - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1 in ascending order.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28\/13 (b) -0.01 (c) 0.3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a\/(a**(-9)\/a*a))*a*a)\/a*a\/(a\/a**22)*a\/((a*a**(-4\/9)\/a)\/a)*a**(-12))**(-14) assuming a is positive.\nAnswer: a**(-686\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0477359 to 3 dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 327472944, 327472933, 327472900, 327472833, 327472720, 327472549, 327472308?\n\"Answer: -2*l**3 + l**2 + 327472945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + (198\/(-24) - 6). Is g\/7 + 1*3165 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 - 485*d**2 - 116*d - 15. Give n(-121).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = -4*i, -5*i + 3*i + 3*z + 7 = 0. Sort 3, 1, i in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Suppose 0 = -0*b - b. Suppose b*r = 2*r. What is the nearest to 0 in -1\/5, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:37 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5567\/16 + -349. Let i = -198661\/64848 + 4\/4053. What is the common denominator of i and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 90*b**2 - 93*b - 4454. Calculate v(-45).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2717028347\/772 + 3519465. Let z = -4\/193 - o. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 40*r**3 - 2*r**2 - 2*r - 1. Let s be t(-1). Let a be s\/(-2) - (-5)\/60*-6. Solve 0 = -4*x - 0*x - a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 2 + 9*n**2 - 5*n + 3*n - 4 to the form k + u*n + a*n**3 + q*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 15*g**4\/4 - g**3\/3 + g - 4. Determine q(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 31*c**2 + 57*c - 20. Calculate s(29).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67.06*-1333.\nAnswer: 89390.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 1 - 8 - 2*l**2 + 3.\nAnswer: -2*l**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:14 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 224 = -100 - 140 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1375)\/(-475) - 4\/(-38). List the prime factors of (o\/6*6)\/((-1)\/(-35)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.9. Let y = 2.3 + c. Let z = 3364 + -3363.9. Sort y, -0.02, 4, z in decreasing order.\nAnswer: 4, y, z, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618534 <= -618532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -37*q - 2. Let y(h) = 3772*h + 205. Let x(u) = 205*m(u) + 2*y(u). Let t(o) = -2*o**2. What is x(t(j))?\nAnswer: 82*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(-4)\/350*-21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:02 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 339*u**3 - 233*u**2 - 96*u - 9. Let t(k) = -k**3 - k**2 + 1. Let g(i) = -2*t(i) - 2*x(i). Determine w so that g(w) = 0.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29915, 30103, 30291?\n\"Answer: 188*l + 29727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12*y = -10*y - 299, -3*k + y + 925 = 0. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 10*k - 16. Let w be 0 - 3\/(3\/(-4)). Suppose 0*d + 4*d - a - 20 = 0, -4*d + 2*a = -24. Solve d*m - w = -k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((q + 4 - 4)*(6 + 1 - 2) - 10*q - q - q)*(2 - 1 + 1) as f*q + w and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/10*(-372)\/9. Suppose -8 = 4*j, 3*j = -5*k - j + t. What is the smallest common multiple of 1 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 6. Let z be r(-5). Let u be (1 + z)*6\/(-12). Let s = -3 - u. Solve s*d + 12 = -0*d + 2*n, 4*n + 11 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - -525) + (4 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtg when three letters picked without replacement from {m: 1, s: 1, g: 1, w: 3, t: 4, c: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -1\/6, 0.116, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -116. Let z = 43.4 + y. What is z rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbblllbldblbbbbldub. Give prob of picking 4 l.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5723?\nAnswer: 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-114)\/12 - -9) + (21 - 22)) + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14 and 5\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + 2*sqrt(5)))**2 - (sqrt(5) + 0 + 5 + sqrt(5) - (2 + (1*sqrt(5))**2)).\nAnswer: 78*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03549048 rounded to two dps?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 + 2*n**3 - 4*n**2 + (3*n - n - n)*(-1 + 1 + 2*n**2) + n**3 - 2*n**3 + 2*n**3 + (2 - 2 + 2*n)*(3*n**2 + 0*n**2 - n**2).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -8.3 (b) -4 (c) -0.1 (d) -2\/5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, 859, 0.2, 5, -2\/19 in descending order.\nAnswer: 859, 5, 0.2, -2\/19, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:21 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/25)\/(2\/(-20)). Let r be 8\/(44\/h + 3). Is 2\/(-4) + (-2226)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l - 3*l)*(339*l - 1564*l + 1197*l + 1338*l).\nAnswer: -6550*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q. Let z be (-3)\/(-2)*(-7 + 9). Let t be 2\/z + (-3)\/(-9). Let p(u) = -u - t + 1. Give n(p(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00778 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.1. Let i(h) = 6*h + 27. Let w be i(-4). Let c(v) = -3*v - 30. Let s be c(-11). What is the closest to s in q, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzzk when four letters picked without replacement from ukczq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664520?\nAnswer: 2, 5, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n - 1 + 4 + 1. Let g(s) = -11*s + 3. Let o be (-119)\/(-85)*25\/(6 - 11). Give o*g(p) + 5*y(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9.44. Let j = 0.64 - p. What is the closest to 0 in j, -0.5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o\/(o*((o\/o**(-2))\/o)\/o))\/o)*o\/(o**(-2\/11)*o)*(o**(-2\/3))**(-5\/6) assuming o is positive.\nAnswer: o**(370\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 122269*j + 1589509. Give h(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -4*h + 4\/21*h**3 + 4\/7*h**2 + 0 + 1\/42*h**4. Factor p(z).\nAnswer: 2*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(13) + -2.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1 + (1 - 3)). Let q be s - (-11)\/(-4) - -3. Which is the closest to 2? (a) -1\/7 (b) -1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836496?\nAnswer: 2, 3, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35541983, 71083950, 106625917, 142167884, 177709851?\n\"Answer: 35541967*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 302416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102323 + 23?\nAnswer: 103012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (-7 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -5)**2*4*1 + -4 + (sqrt(300) + (sqrt(300) - (5 + sqrt(300) + -5)) - (-1*(sqrt(300) - -2*sqrt(300)))**2).\nAnswer: -1404 - 390*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -133001 - 3662*p - 185*p + 133001 as a + g*p and give g.\nAnswer: -3847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7943*r**3 + r**2 - 25388 wrt r?\nAnswer: -23829*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333 - 238. Suppose d = 5*g + 3*s, 0 = -4*g - 4*s + 2*s + 78. Which is greater: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8)\/(3\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*n + 3*n. Suppose -3*k + n = k. Let i(y) = y. Is i(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/31 + 1111\/2790. Let a(t) be the third derivative of 1\/450*t**5 - 6*t**2 + 0 + k*t**4 + 1\/45*t**3 + 0*t. Factor a(g).\nAnswer: 2*(g + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5110 and 2870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -267243 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 8 (c) -22 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -3)**2 + 3.\nAnswer: -18*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 73. Let c = v - 10.000001. Round c to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**3 - 9*t**3 + 2*t**3)*(-3*t - 3*t + 5*t)*(-11*t + 3*t - t).\nAnswer: -135*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -585*k**2*u*w - 2*k*u*w + 26*k*u + 5*u*w - 2*w wrt k?\nAnswer: -1170*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 12*h**2 - 9*h - 11. Let w be k(11). Solve 5*a - w = g + 3*g, 0 = 5*g - a + 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30255060426.80013 + 30254729669. Let l = 330760 + a. Let z = -2.2 + l. Round z to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -154? (a) 0.05 (b) -22 (c) 18 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 4*x**5 - x**5 + (-x**3 + x**3 - 2*x**3)*(0*x + 0*x + 2*x**2).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(((sqrt(637) - (sqrt(637) + 0)) + sqrt(637) - sqrt(637)) + 1) - -5*(sqrt(325)*-5 + sqrt(13) + (sqrt(13) + -1*sqrt(13))*2))**2.\nAnswer: -1680*sqrt(13) + 187249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*l - 22, 3*r + 27 = 28*l - 23*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhkhcpnckhcoccc. What is prob of picking 3 c and 1 o?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 8}. Give prob of picking 2 t and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2664*w + 66056. Determine d(25).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 2*q**4 + 0*q**3 + (-2 - 3 + 3)*(-4*q**4 + 86*q**3 - 86*q**3) + 10*q**4 + 149*q**2 - 149*q**2.\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h - 509. Calculate p(-25).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y - 3. Let v be (y + -1 + -1)\/1. Let s = -305\/3 - -102. Sort 0.6, s, v in descending order.\nAnswer: 0.6, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 296678110 and -7755.\nAnswer: 296670355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u**2 + 2*u + 2. Let j(x) = x**3 + 4*x**2 - 6*x - 2. Let p be j(-5). Suppose p*f - 4 = 7*f. Does 7 divide a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbe when three letters picked without replacement from {b: 1, e: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/834435 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -45, -3.\nAnswer: -45, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 3 - -16 - 3. Which is bigger: 13 or s?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*l - 4*b, -b = -4*l + 24 + 23. Let c be 6 - 5\/(20\/l). Suppose c*d = -0*d + 84. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 6*p**2 - 10*p - 8. Let u be o(-7). Let i = 25 - u. Suppose 4*h - 4 - i = 4*a, 2*a - 4*h = -16. Solve a = -t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((-39 - -31) + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -46. Let z = x + 7. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4362?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + m - 188 = -24*n, -2*n = 2*m - 88. Calculate the highest common factor of n and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -8*a + 3, 8*g = a + 6*g + 6. Solve a = -17*v - 46 - 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5685942 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209956?\nAnswer: 2, 52489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2*m + m - 3*m + m + m + (-1 + m + 1)*(25 - 16 - 155).\nAnswer: -146*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*c*c\/(c*c**(-1))))\/c))\/c)**21\/((c**(-7)\/c)\/c**(1\/10)) assuming c is positive.\nAnswer: c**(711\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**8*u*(u*u*((u**4\/u)\/u)\/u)\/u)\/(u**(1\/5))**(-28) assuming u is positive.\nAnswer: u**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1417 divide 409647615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 8 - 88. Let n = 2 + 10. Calculate the smallest common multiple of f and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3))**(-17))**(-1\/22)\/((l**(-1\/4))**(-16)\/(l\/l**(1\/3)*l**(-3\/8))) assuming l is positive.\nAnswer: l**(-281\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 29*u - 23. Let g be z(5). Suppose 4*j + v + 10 = 252, -v = 2*j - g. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*y + 290*y = 124146. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3924 and -139\/108.\nAnswer: 11772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 10*w - 27. Let j be h(-7). Let g(z) = -z**3 - 6*z**2 - z - 3. Let m be g(j). Solve 4*n - 4 = m*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 4) to base 8\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(-4*u**2 - 6*u + 6*u)*(3 - 1 + 0)*(-6 + 1 + 3) in the form p*u + c + d*u**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 11*x**3 - 20*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 5*n - 5. Let m be z(6). Let f = -0.422 - -0.922. Which is the closest to 0.3? (a) m (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*s + 110*s + 110*s + 181*s - 736*s.\nAnswer: -162*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1152*a**4 + 2400*a**3 + 1346*a**2 + 100*a + 2 = 0?\nAnswer: -1, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 6472.2743626?\nAnswer: 6472.3743626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -36*s**2 + 141*s - 195. Let b(m) = -m**3 - m - 1. Let f(p) = a(p) - 3*b(p). Factor f(l).\nAnswer: 3*(l - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 10 = 5*r. Let c be 1 - (r + 146)\/(-3). Suppose 4*d - 58 = -3*s + 22, 3*d + 5*s = c. Solve 4*q - 3 = -2*n - d, q = 5*n + 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-16)\/(-4) - 57). Suppose -4*b - z = -206. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4586 is divided by 776?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 + 1.6. Let m = -5658 + 5658. Which is the third biggest value? (a) 1\/5 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*l = -21599992, -3*r + 8*r - 3*l - 27000012 = 0. What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34918 divided by -221?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-2)\/(6 - -34).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/5 (b) 4\/203 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 95. Solve m*a = 15 - 55 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + a. Let z be y(2). Let t = z + 16. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11) + -1 + 1 + sqrt(11) + -1)**2 - -4*(sqrt(1584) + -1)**2.\nAnswer: -94*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 40 (b) -7147 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1314409, -2628822, -3943235, -5257648?\n\"Answer: -1314413*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -909, -1913, -3271, -4971, -7001, -9349, -12003?\nAnswer: -14951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 times 0.3?\nAnswer: 0.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3243 - -9325. What are the prime factors of b?\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7185 - 7181. Solve 0 = 20*r - 22*r - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -264 in ascending order.\nAnswer: -264, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*x**2 - 167*x**2 - 416*x**2 + 41*x**2 - 402*x**2.\nAnswer: -814*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 6, -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175*(9\/(-45))\/(4\/(-14)*(-56)\/(-32)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 4*k**2 + 8*k**2 + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 102 - 26 = -22*i. Let f(z) = -z**3 + 12*z**2 + 7*z + 8. Let q be f(12). What is the highest common divisor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose 2*l + 5*y - 25 = 0, l = -0*l - z*y + 15. Suppose -4*i + 2*m = -30, l = -i - m - m - 5. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -252334\nAnswer: -1\/126167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 + 760. Suppose -3*u = -z + 196. Suppose 2*c - u = -2*c. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-2\/23)\/l*l))*l**14\/l)**(-3\/2) assuming l is positive.\nAnswer: l**(-891\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*i + 52303 = -361*i + 887423. What are the prime factors of i?\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - 2*(0 + sqrt(500))**2.\nAnswer: -1000 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/77)\/((-8)\/14). Put -2\/9, -4\/5, z in decreasing order.\nAnswer: z, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 46*d**2 + 311*d - 266.\nAnswer: (d - 38)*(d - 7)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 0.30747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149777695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 0. Let i = -6 + o. Let u be -7*i*4\/(-14). Solve -24 - 3 = 3*h + 3*k, -4 = -4*h + u*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 21 - -11) + (11 - 18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 6*s + 2. Let h be j(6). Let z be (-185 + -1)\/(4 + -2). Let k be ((-5)\/(-15))\/(1\/z). Sort k, h, 5 in ascending order.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8 + 4 + 36*d**2 - 11. Let o(v) = -5*v**2 + 2. Let j(l) = 2*a(l) + 15*o(l). Let q(w) = 9*w. Calculate j(q(u)).\nAnswer: -243*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*(-10946)\/3368?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63 + -56 - 6\/2. Put 2, 21, i, -7 in increasing order.\nAnswer: -7, 2, i, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 8705.\nAnswer: 17410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50600 - 4980. What is b rounded to the nearest 100?\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -81517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -25*l**4\/4 - 66*l - 72. Differentiate w(r) with respect to r.\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 34 = -w, -3*w + 10 = -3*l - 68. What is the least common multiple of w and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -37, -40, -7, 74, 215, 428, 725?\n\"Answer: 2*a**3 - 41*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5\/2 + 8535*w**4 - 491910*w**3 + 9380585*w**2 - 119037945*w\/2 = 0.\nAnswer: -3471, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2509, 0.05 in ascending order.\nAnswer: -2509, -3\/5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 0.2, -5, 24\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let h(z) = z**3 - 2*z**2 + z + 1. Let k be h(s). Suppose 3*f - u - 81 = 0, -k*f + 66 = -3*u + 7*u. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a9aa (base 11) in base 8?\nAnswer: 1073532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43785258.91516952 + 37802914.71517. Let d = 5982345 + n. Let r = -0.8 + d. What is r rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -4. Suppose 5*b - 32 = u*c, -4*b + 3*c - 7 = -32. Let l = -2 + 4. Solve 4*v = -x - 0*x + b, 0 = 2*v - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 - 2*q - 1. Let y be f(-1). Let w be (12\/16)\/(y\/(-8)). Let i be 14\/(-4)*-2*1. Solve 4*z + 4*c - 9 = w*z, -z + 4*c - i = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/21, 1, 11\/5, 2?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2174*c*l*m**3 - 16*c*m**3 - 5*c - 4*l*m**2 - 1814420*m**3 wrt c.\nAnswer: -2174*l*m**3 - 16*m**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/(-3) - 65\/(-4). Does 5 divide (q - -1) + -2 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 66. Let z be 657\/45 - (0 + y\/10). Solve -z = -2*p + 5*v, 3*p + 4 = 3*v + 13 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - -2747. Suppose 3178 + k = 10*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o = 117*o, b = -4*o + 4398. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/7)*p)\/p**(-3\/4)*(p**(-1\/4))**(-1\/33))**(6\/11) assuming p is positive.\nAnswer: p**(1340\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 827683*g. Let p(r) = 2*r**2. Give k(p(q)).\nAnswer: 1655366*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119 less than 673942553?\nAnswer: 673943672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*2\/51 + 76384\/748. Suppose -109*j + w*j = -5236. Is j a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/16 - 2175\/(-10). Let x = k + -204. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 33 = y + 21, 0 = 2*w + 29*y - 102*y + 150 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4) - (1146680\/(-400))\/(-109))\/((-8)\/10)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 - n. Let o be a(-1). Suppose 2*c + 2*c = 64. List the prime factors of (c\/o)\/((-8)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/5 - 2046*c**3\/5 - 346791*c**2\/5 + 699732*c\/5 - 350892\/5.\nAnswer: -3*(c - 1)**2*(c + 342)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**7\/60 - 7*i**4\/8 + 10*i**3\/3 - 10. Let f(k) be the third derivative of l(k). What is the derivative of f(c) wrt c?\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-6) + -1*10*195\/150.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*(-1 + 1). Suppose -8*m + m = o. Suppose -4*r + 5*v + 7 = m, 0*r - 4*v + 1 = -r. Solve -5*b + 0 = 4*y - 3, 0 = 4*b - r*y - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-69)\/(-966))*(-2)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 247901 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115308 is divided by 101?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 - 187*s**4\/4 - 249*s**3 + 1660*s**2 + 12944*s + 21504.\nAnswer: (s - 192)*(s - 7)*(s + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((8 - 11) + 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m**2 - 1 - 4*m**3 + 5*m + 0*m + m**3 - 24*m**2 + 7*m**2 to the form d + j*m**3 + c*m + s*m**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820, -818, -814, -808, -800?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 - 248631*a + 9698130 = 0.\nAnswer: -248670, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o - 2. What is z(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 0. Solve n + n + 4 = t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*(l*((l*l\/l**(2\/11)*l)\/l*l)\/l)\/l)\/(l*l**(-3)\/l*l*(((l*l*l\/(l\/(l*l*l*l\/(l\/(l*l*(l\/l**(3\/5))\/l))*l))*l)\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-229\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/20 - (-966)\/60. Let c be -1*2 + 4 + 2. What is the second derivative of 2*a + 12*a**4 + 4*a + i*a**c wrt a?\nAnswer: 336*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110100100101100011?\nAnswer: 110100100101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1392 and 13\/232?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-6) - 1\/(-3). Let f(a) = a**3 + a + 1. Determine f(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 13*j + 2*f + 16, 0 = -3*j + 4*f + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z + 22 + 127*z**2 - 97*z**2 - 31*z**2 - 52 - 16*z. Calculate l(-19).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 12, -12, -4.\nAnswer: -12, -4, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -43*f**2 - 5*f. Let g(x) = -x**2 - 2*x. Give -6*g(t) + 2*j(t).\nAnswer: -80*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 41 = -4*d - i, 0 = 5*d + 3*i + 205. Let h = -8 - -26\/3. Which is the smallest value? (a) 2 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-17)*14722\/(-1732))\/((3\/(-1))\/6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.22 (b) -47 (c) -0.4 (d) -1 (e) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {g: 7, z: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150150 (base 8) to base 4\nAnswer: 31001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/((-6)\/9). Let v = 3.56 - -0.44. Suppose 3*r = 3, 3*p + r + 0*r = 7. What is the closest to 0.2 in v, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -29\/104?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 + 25405124*f - 101620464 = 0. Calculate f.\nAnswer: 4, 12702558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 416, 411, 408, 407, 408?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10011101110100001100?\nAnswer: 10011101110100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 4*i**2 + 27*i + 2. Let z be w(7). Calculate the highest common factor of 66 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-80))\/(2\/(-15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -5*w**7\/147 + w**6\/35 + 6*w**5\/35 + 2*w**4\/21 - 4*w - 16. Let l(p) be the first derivative of r(p). Solve l(z) = 0 for z.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.137 + 153.863. Let g = j + -82. Let c = -71.934 + g. What is c rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885055.5km in meters?\nAnswer: 885055500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2866.255*-0.03.\nAnswer: 85.98765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + a**4 - 2*a**4)*(1 - 4 + 2)*(-2 - 1 + 9)*(4*a - 11 + 11 + (0 - 1 + 0)*(-a + 1 - 1)).\nAnswer: -30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 7846 + 23450 = 0. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*k**3 - 65830*k**2 + 6*k + 6169752?\nAnswer: 342*k - 131660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**2 - 2*m - 5. Suppose -i = -d + 6*d + 18, 20 = -4*d. Is h(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 632, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-21) - 14\/3. Let o = -3 - v. Let y = 3 + -3.1. Put y, o, -4 in descending order.\nAnswer: o, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 756966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 2. Let s(b) = -4*b**2 - b + 3. Calculate -5*l(p) + 3*s(p).\nAnswer: -2*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 9*p**2 - 10*p - 10. Calculate c(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34563561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + a - 30. Suppose w - 3*k = 19 + 5, 3*w + a*k - 114 = 0. Calculate the remainder when 127 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944233603 to the nearest integer?\nAnswer: 30728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**3 - 43*i**2 + i - 12. What is v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2669, -2652, -2635, -2618, -2601?\n\"Answer: 17*n - 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395087, -395092, -395087, -395066, -395023?\nAnswer: -394952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -140 + 743482?\nAnswer: 743342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -20*p - 306. Let k be m(-16). Let i(b) = -b - 1. Let q be i(-2). Let a be (3 - q) + 2 + 38. Calculate the greatest common divisor of k and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/5)\/r*r**5*(r**(-8)\/r)\/(r*r*r**(-1\/13)))**(-47) assuming r is positive.\nAnswer: r**(23594\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2114, 4223, 6332?\n\"Answer: 2109*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6319877 or -6319870?\nAnswer: -6319877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/7 and (-2)\/1*2 + (-318)\/48.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*t + 7*t + 15858 = 0, y + 15873 = t. Let n = y + 143056\/9. Let p = n - 1561\/36. Calculate the common denominator of 71\/6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-210) + 885\/450. Let d(r) be the third derivative of -1\/36*r**4 - 1\/12*r**3 + 5*r**x + 0*r - 1\/360*r**5 + 0. Factor d(y).\nAnswer: -(y + 1)*(y + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 68. 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 the lowest common multiple of 27 and 207.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.258*-0.209.\nAnswer: -2.770922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 30 = 8*f. Let v(k) = 1 + f*k - k**2 - 17*k - 16*k + 3. What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 + y**2 - 3*y + 9. Let c be i(2). Let t = 27 + c. Suppose -2*m - z + 0*z = -20733, 2*z = -t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -401*g + 480*g + 547*g - 9390 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.78 - -1.39. Let p = 0.38999979 + w. Round p to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 10*w + 28 = 0, 0 = 2*t + 6*w + 94 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60241209 divided by 124723?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/8)\/((-3)\/(-12)). Let l be (9\/(-6))\/(9\/12). Let b(v) = -v**3 + 2*v - 2. Let c(q) = 6*q**3 - 11*q + 11. Give l*c(y) + s*b(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atatrtrtkra. Give prob of sequence rttk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0066809 to five dps.\nAnswer: -0.00668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + sqrt(2057) + 2 + 5.\nAnswer: 7 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157158 and 54738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**2 - 5*n. Let q(u) = 3*u + 16*u**2 + 8*u**2 - 20*u**2. Let g(p) = 3*o(p) + 5*q(p). Let a(b) = -3*b + b + 3*b. Give g(a(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-40))\/((-9)\/5). Which is the second biggest value? (a) k (b) -0.5 (c) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1000)\/1350*((-8)\/(-20) + -1).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974 - 3106 = -10*u. Suppose -4*m - u = -516. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 - 55*s**2 + 5. Let f(o) = -o**3 - o**2 - 1. Calculate d(w) + 5*f(w).\nAnswer: w**3 - 60*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 52 - 12 = 0. Let k(y) = -y**2 - 10*y + 7. What is the units digit of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h - 20. Suppose -c + h = 3*b, 8*c + b = 3*c + 22. Suppose -2*p = -l + 8 + c, -5*l = -5*p - 35. Does p = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + 0 + (-25 - (-77 - -55))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - v - 5. Let b be 4\/2 + 0 - 2. Suppose b*q = -2*q + s + 18, 3*s = 5*q - 47. What is the lowest common multiple of q and z(3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 1. Let y = q + 0.4. Which is the closest to 0.3? (a) y (b) -2\/19 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h**3*x**2 + 2*h**3 - 2*h*p*x + 2*p*x**2 - 17*p*x + 9*x**3 wrt x?\nAnswer: 28*h**3 + 4*p + 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-264)\/(-2))\/(24368\/(-6092))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03423 - -14.\nAnswer: 13.96577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -105, -89, -57, -3, 79?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 2805*i + 25175. Determine a(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1200 - 342 = 4*t, -646 = -3*t - q. Let j(l) = 3*l**3 + 4*l**2 + 6*l + 5. Let p be j(-4). Let m = t + p. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:58 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185022517.\nAnswer: 185022517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 125048 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -82. Let h = -14 + 39. Suppose 0 = 4*j - 4, 5*j - h = 3*m - 308. What is the greatest common divisor of m and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/14 + 43*g**3\/14 - 123*g**2\/14 + 3856*g. Solve u(a) = 0 for a.\nAnswer: 1, 41\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42535530 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2. Let r = -10 - -4. Let i(o) = o. Let b(z) = z. Let m(y) = r*b(y) + 13*i(y). Calculate m(t(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let f(v) = -13*v**2 + 5*v - 213. Let o(z) = -18*z**2 + 7*z - 320. Let h be 156\/30 - 2\/10. Let s(l) = h*o(l) - 7*f(l). Give t(s(u)).\nAnswer: 2*u**4 - 436*u**2 + 23762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4614195 divided by -3\nAnswer: -1538065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 39*d + 9. Let b be l(-4). Let k = -106 - b. What is the remainder when k is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*o - 66, 2*x - 85 = o - 74 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-1046))\/((-6)\/(-8)). Let c = -9517\/10983 - k. What is the common denominator of c and (-2457)\/504*44\/(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18677*3.\nAnswer: 56031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by (70\/(-8))\/((-104)\/32 - -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-21) + 12\/(-28))*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(117))**2 - (sqrt(1300)*-3 - sqrt(1300))**2) + 1.\nAnswer: -20682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1 - g + 3*g - 3*g. Let n(u) = -3*u - 19. Let b be n(-8). Give z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 17*x = 392, -4480*h + 26 = -4483*h - x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 4*h**2 - 4*h + 2. Let a be d(2). What is the second derivative of 5*y**2 + y**2 - 2*y**a - 2*y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 7*p + 180. Let x(f) = 17*f + 1. Calculate the remainder when x(3) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*-2449.\nAnswer: 71021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -2*s + 10*w + 4089, 3*w + 10218 = 5*s. List the prime factors of s.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 9960.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1693, -1701, -1711, -1723, -1737?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 344204?\nAnswer: -344200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0 (c) -1 (d) -1.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 392\/(-147)*(-21)\/8. Solve n - h = 0, -h - 10 = r*n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1452*i + 384741. Calculate k(265).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 45, 94, 163, 252?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 0) + (-80 - (-166 - -82)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 - -363. Put -2\/13, 35, f in decreasing order.\nAnswer: 35, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 + -21?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*j + 3 = -3*b, 3*j = 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238.0001065 + 238. Round j to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/11 - 11\/((-1089)\/5859). Is z less than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/(-44) - (-9)\/(-48)*(-5208)\/(-279).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 75*u**3 - 10*u**2 + 308*u. Let j(q) = 53*q**3 - 7*q**2 + 205*q. What is 7*j(r) - 5*o(r)?\nAnswer: -4*r**3 + r**2 - 105*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 3 + 8*y + 0*y. Suppose 2*p - 5*f - 29 = 4*p, -4*f = -3*p + 14. Let n(i) = 3*i + 2. Determine p*s(x) + 3*n(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 21*p - 36. Let b(d) = -190*d + 330. Let k(f) = 6*b(f) + 55*w(f). Let s(t) be the first derivative of t**2 - 1. Calculate s(k(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 0 + (57 + -36 - 119).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19*s + 40. Let h be i(2). Let o(p) = -26 + 26 - 20*p**h + 21*p**2. Let n(u) = -14*u**2 - 2*u. Calculate o(n(r)).\nAnswer: 196*r**4 + 56*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + -2*sqrt(245)) + (sqrt(135)*1)\/(sqrt(147) + sqrt(147)*1).\nAnswer: -12 + 787*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = i, -2*i - 4*b + b = 0. Let u be (1 - i)\/(15\/60). Suppose 2*r = -5*h + 59 + 308, 0 = 2*h - u*r - 166. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00949298769 rounded to five dps?\nAnswer: 0.00949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 122334439075*k**2 - 122334439075*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**2 - 3*m**2)*(-3*m**3 - 3*m**3 + 5*m**3 + 3*m**3 + 9 - 9 + (-5 + 3 + 4)*(-12 + 12 - m**3) + 33*m + 4*m**3 - 33*m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 11:19 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202638, 202637, 202636, 202635, 202634?\nAnswer: 202633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89, 87, 85, 83, 81, 79?\n\"Answer: -2*i + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 - 2278*o**3 - 20427*o**2 - 13598*o + 36304 = 0. Calculate o.\nAnswer: -2269, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.4 (c) 1\/2 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 236*o**2\/7 + 634*o\/7 - 920.\nAnswer: 2*(o - 4)*(o + 7)*(o + 115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3631 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 + 6*m - 4. Let i be o(4). Suppose i = 3*h + 4*x + x, h = 3*x + 10. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 72.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/274, -10, -1\/3, -4\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4\/4 - 2265*w**3 - 2029315*w**2\/2 + 10317075*w - 103740125\/4 = 0. Calculate w.\nAnswer: -911, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 347*g**3 - 108.\nAnswer: 1041*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s + 7. Let j(u) be the third derivative of 0*u - 118*u**2 + 0 + 1\/2*u**3 + 1\/4*u**4. Determine -2*f(h) + 5*j(h).\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*u = -7*t - 12, -12 = 3*u. Suppose t*g = -2*g + 22. Let h = g - 6. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189686473.54 less than 13600?\nAnswer: -189672873.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -50. Calculate the remainder when 23 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2094 = -2052. Sort 2, 3, w, 44 in decreasing order.\nAnswer: 44, w, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 5}. Give prob of sequence xxm.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*n - 17*n**2 + 10*n + (5*n**2 + n**2 - 4*n**2)*(-1 - 1 + 4))*(10*n - 4*n + 5*n) as b*n**3 + t*n**2 + z*n + x and give b.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 750 divided by -3226\nAnswer: -375\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-118 - (108 - 292))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 50 + 25 = 0. Let w = -12742 - -12747. What is the remainder when s is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241 + -3?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5251392, -21005255, -47261686, -84020679, -131282228, -189046327, -257312970?\n\"Answer: z**3 - 5251290*z**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:57 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*k + 104*k + 285*k - 60*k to p*k + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdl when three letters picked without replacement from {q: 1, d: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.2. Let l = -113.4 - -113. Let y = 413\/9804 - -1\/228. Sort p, l, y in descending order.\nAnswer: p, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2. Let k(a) = 85*a - 38. Let v(h) = -171*h + 82. Let f(m) = -13*k(m) - 6*v(m). Give f(q(o)).\nAnswer: -316*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 338 = -74. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2043 and 12705871.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/6 + 17*m**3\/6 - 8*m**2 - 1130*m - 4. What is q(-13)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t**2 + 102*t**2 + 42*t - 72 - 44*t + 95*t**2 - 285*t**2.\nAnswer: 5*t**2 - 2*t - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a - 2 = -2*l, 2*l = -2*a + 2. Sort 0, -7, l in ascending order.\nAnswer: -7, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.4 + 13.4. Let i = d - 34. Which is the nearest to -0.05? (a) 1 (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-76 - (-27 - -29 - (-15 + 0)))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, -3899875.\nAnswer: -3899875, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -9 - (-1 + 3) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -896198836*y**5 + 1455431525*y wrt y?\nAnswer: -17923976720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 5*i**2 + i**2)*(3 - 1 + 0)*(27 - 27 + 9*i).\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24363818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 558029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88461331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let u(j) = 9*j**2 - 508564*j - 17. Determine u(n(q)).\nAnswer: 9*q**2 - 508564*q - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m\/m**(-1\/3))*m))**28*(m\/m**(1\/8))\/(m**(3\/10)\/m))**43 assuming m is positive.\nAnswer: m**(-88193\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:59 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 18 = -234. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/120 + k**5\/12 - k**3\/3 + 4*k**2. Let r be s(5). Put 5, -3, r in increasing order.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by -137.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 7) to base 2\nAnswer: 10011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3949200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*k - 232*k + 59*k)*(1 + 3 - 2) - 11*k + 109*k + 92*k in the form z*k + m and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let l = -24 - -24.5. Let w = l - 1.5. What is the closest to 0 in w, u, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = m - 0. Let y = 20 + m. Solve -r - z = y, -3*r + 4*z = -6*r - 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -210, -220, -232, -246, -262?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1849\/129 - 16) + 80\/(-15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0974973 - 3\nAnswer: -2.9025027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 40 = 0. Let u be (-16)\/p + 3\/5. Let q = 2 + -2.1. Sort u, q, 1\/4.\nAnswer: q, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i, 13*c - 3723 = 9*c + i. Does 62 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -69. Suppose 5*r = 20, 0*r - 532 = -z*w + 2*r. Round w to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 4, e: 3, g: 8, f: 2}. What is prob of picking 1 f and 2 g?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63163721 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 8*l - 6. Suppose l*h - 1130 - 1204 = 0. What is h rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + t + t**2 - t + (0*t - t + 0*t + (t + 2*t + 2*t)*(8 + 2 - 3))*(0*t - 2*t + 4*t)*(-1 + 2 + 0).\nAnswer: 69*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 - 4*x + 1. Let g be h(4). Let b = -8 + g. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 48\/(-10)*-54*(-120)\/(-36).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 3*i - 2. Suppose 4*h + 42 = -11*v + 13*v, 0 = -4*h - 5*v - 21. Let j(b) = 3*b**2 - 7*b + 4. What is h*c(k) - 4*j(k)?\nAnswer: -3*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -17*b + 75. Let p be t(4). What is the common denominator of 41\/26 and p\/(336\/531) + -5?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + s = -2*s + 12, 13 = 5*d - s. Suppose -9 = d*j - 87. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116608*k**3 - 122648*k**2?\nAnswer: -699648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -u + 8, -3*u = 3*t + t + 8. Let p be (-6)\/t - 2\/(-1). Let r(w) be the second derivative of -w**3\/3 + w**2 + w. What is r(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(80)\/sqrt(2))\/sqrt(2) - (-1 + sqrt(180)))*2*2.\nAnswer: -32*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 34, 41, 28, -11?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d - 32. Let q(x) = 2*x + 5. Let a(b) = 5*f(b) + 32*q(b). Let z(y) = -9*y. Calculate z(a(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*195\/3276)\/(10\/(-2))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 10, o: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*l = 880*l + f + 22, 0 = 2*f + 8 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3785.6 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 5*j - 20, 3*j + 3 = 5*l + 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25747.524 seconds?\nAnswer: 0.29800375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101011 + 12?\nAnswer: -1100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 64 = -5*d, 4*c + d = -68 + 159. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 + 129*f**2 - 3672*f - 32368 = 0?\nAnswer: -7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - (-4)\/6*3. Suppose -c = c - d. Differentiate 4 - 8 + 4 - c + a with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 1. Let y be j(-3). Let i(p) = -74 - 4*p + 24 + 24 + 27. Let m be i(y). Calculate the greatest common factor of m and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 173436825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*z - 188*z = 276. Let n(l) be the third derivative of 0 + 0*l + 0*l**3 + 1\/4*l**z + 2*l**2 + 1\/10*l**5. What is the second derivative of n(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 71*n - 11. Let v(f) = 4*f**2 - 312*f + 45. Let z(g) = 9*r(g) + 2*v(g). Calculate z(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1581 - -92. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1544 in -5, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1822835, -1822818, -1822801, -1822784, -1822767?\n\"Answer: 17*x - 1822852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*o**3*t**3*x**3 - o**3*t*x**3 + o**2*t**2*x**3 + o**2*t**2 - 19*o**2 - 2*o*t**3 wrt o.\nAnswer: 258*t**3*x**3 - 6*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 36 = -5*x + 2*t + 67, -3*x - 2*t = -10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2098?\nAnswer: 4196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1111001011?\nAnswer: 1111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 5*t + 2. Let y be s(5). Let z be 51\/3 - 2*1. Let l be 3\/z - (-2)\/(-10). Solve l = 2*i - i + y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1200 + 66007\/55. Let d = i - -4\/55. Factor 0*z**2 + 2\/5*z**3 - 1\/5*z**4 + d - 2\/5*z.\nAnswer: -(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-h**3 + 2*h**5 + h**3) - 2*h**2 - h**5 + 2*h**2.\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 150*(3\/18 - (-137943)\/(-18)). What is j rounded to the nearest ten thousand?\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 3*b + 30 = -12*k, 5*b = -3*k + 20. Let o(i) = 6 + k + 9*i - 26. Let l(x) = -14*x + 8. Determine -5*l(t) - 8*o(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*c = 3. Let d(j) = -5*j**3 + 1. Determine d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80195164 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/126 - r**3\/9 - 2*r - 6. Factor f(q).\nAnswer: -2*q*(q + 7)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a**3 + a**2 - a - 1. Let w be k(-1). Let d(q) = w - 2*q**2 - 15 + 3*q**2. What is the smallest common multiple of 16 and d(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140292 divided by -81\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllillllllllllllil. What is prob of sequence ll?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 3*b + 5*b + 7*b to the form x*b + s and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 180274185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 - 8*j**2 + 6*j + 11. Let q(n) = 4*n**2 + 3*n - 1. Let m be q(1). Let z be w(m). Suppose 3*s = 5*b - z, 2*b - 2*s - 422 = s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*n - 70 = -327*n. Suppose 4*t = n*t - 1100. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1680 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypyyypyyyypyppyyyy. What is prob of picking 2 y?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3.7. Let b = -0.6 + 0.3. Let f = l + b. What is the second biggest value in f, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -1\/6, 7\/36?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131 (base 5) in base 10?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 23680.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6424 and 121.\nAnswer: 70664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)\/(3\/(-30)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 377295, 377325, 377353, 377379, 377403, 377425, 377445?\n\"Answer: -k**2 + 33*k + 377263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14604, 0.6, -5\/42?\nAnswer: -14604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 17. Let g(z) = z + 33. Let n(x) = 5*d(x) - 2*g(x). Let i be n(7). Suppose i*s + 0*s + 185 = 5*m, 4*m = 2*s + 148. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let q = d - 2.9. Let z = 316\/21 + -46\/3. Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.1. Let m = -1 + g. Suppose 0 = f + 4*b + 2 - 4, 0 = f - 5*b - 2. Which is greater: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5719.685 * 3.\nAnswer: -17159.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -304038 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -27*h - 85. Let b(t) = -51*t - 165. Let o(a) = 8*b(a) - 15*y(a). Give o(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -3 - 1 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18694591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s + 15 = -5*i, -3*s - 10 = -5*i. Let p = i - 12. Let d = 36 + p. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2 + 8*p**2 + 7*p**3 + 3*p**3 - 2*p**3 wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -9*2\/(-6). Let t be 2 - -227 - ((-9)\/(-3) - q). Let a = -143 + t. What is the remainder when a is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 217*p + 877. Let w be z(-4). Calculate the highest common factor of w and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 480030773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 865*i**2\/2 + 12029*i + 11596.\nAnswer: -(i - 892)*(i + 1)*(i + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7331 + 9800. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 3*a - 1. Let n be p(-3). Let c = n - 0. Let z be c - 2\/((-8)\/(-3)). Do z and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/35)\/((-57)\/(-75) - 1)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-70) - (1 + -2)\/(9104\/1016 - 9)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-285)\/(-1134) - (-1 + (-56)\/(-63)) and -13\/486.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9780 to the nearest 100.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1938 + 4?\nAnswer: 193c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2064139\/(-154)*((-2 - -1) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - 36276173.\nAnswer: -36276173.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -18.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 14, 0.4, 1\/68?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {i: 2, u: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439242183 is divided by 36603515.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, -699, -2548, -5137?\nAnswer: -8466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b. Let h(w) be the third derivative of -w**4\/24 - 5*w**2. Calculate h(j(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*l - 13 = 0, -5*o + 5*l - 2 = 3. Solve -1 - 1 = o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51062044 (base 7) to base 2.\nAnswer: -10000001101101101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18671 + 5666*n**3 - 32*n**2 + 32*n**2 + 37343 - 18672.\nAnswer: 5666*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 - 19*f**4 - 14*f**3 + 65*f**2 - 9*f**4 - 8*f**4 - 29*f**4 - 41*f**3 + 60*f = 0. Calculate f.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5578002 by -1859334.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -16, -1\/7, -5 in increasing order.\nAnswer: -16, -5, -0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 43*f - 7*f)*(-6*f**3 + 2*f**3 + f**3).\nAnswer: 165*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24409 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -1, -8, 0 in descending order.\nAnswer: 39, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(723245*y - 16777*y**3 - 723245*y) + 3*y**4 - 4*y**4 + 2*y**4.\nAnswer: -16776*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 80 = 12*l - 28*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 2*v**2 + 12*v + 21. Let c be s(0). Let a be (-2)\/5 - 1157\/(-5). Calculate the greatest common divisor of c and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -6\/13, -2, 2, 36?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463.6 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 386.80176 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:14 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*n + 48*n - 693 = -143*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 2\/3, 68, -3\/2 in decreasing order.\nAnswer: 68, 2\/3, 0, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - ((((sqrt(200) - sqrt(200)*-4) + sqrt(200))**2 + -5 - sqrt(200)) + sqrt(200)).\nAnswer: -7195 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - (-32)\/(-3))\/((-48)\/(-36)) and 45\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 37*m**2 - 20*m + 19. Let l be s(19). Suppose 2*i + 3474 = 3*d, 2*d = -l*d - i + 2309. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 5*w**2 - 4764*w - 4760. What is k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 34 = 4*i, -1 - 5 = -3*c. Let s(m) = -m**3 + 8*m**2 - 2*m - 6. Is 9 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57459551.\nAnswer: 2663, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24119213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886368 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Let g = 278 - 278. Which is the smallest value? (a) g (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 30 - 40 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 25*b - 132. Let p(d) = -d**3 + 5*d**2 - 4*d + 2. Calculate the smallest common multiple of c(6) and p(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -206, -619, -1418, -2735, -4702, -7451, -11114?\nAnswer: -15823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 42*l**2 + 157*l - 3. What is the remainder when 4300 is divided by o(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let v(h) = -40*h. Let r(x) = 5*x. Let p(b) = -50*r(b) - 6*v(b). What is p(y(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*w + 75, 4*w - 278*b = -282*b - 84 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6427545?\nAnswer: 3, 5, 428503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 5*j, -4*j + 124 = 3*m. Let 21*y**3 - 12*y**2 - 4 + 5*y**3 - 16*y + 50*y - m*y**2 = 0. Calculate y.\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29064345 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 21, -3, -53, -135, -255?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 0.22?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 + 10*r**2 + 3*r + 10. Let a be f(3). Solve -51*x + a = -23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282676009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(3*l**5 - l**5 + 0*l**5) + 2*l + 94*l**3 - 19*l**5 - 57*l**3 - 38*l**3 - l**5 + 2*l**3 - 2*l**3.\nAnswer: -22*l**5 - l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 2*v + 1. Suppose 6*j = 8*j + 2. Let y be h(j). Solve y*w + 16 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -253 in -2\/21, 0.4, -0.4, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9304, -37359, -84162, -149713, -234012?\nAnswer: -337059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-2\/13))*k**(-10\/9) assuming k is positive.\nAnswer: k**(-148\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 + 7 = 0. Suppose 4*m = -42 - 114. Let k be ((-33)\/m - 1) + (-1848)\/(-182). Solve 0 = -f*i + 2 - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s, 148*s = -2*y + 151*s - 11. Solve -p - y*p + 2 = o, -2*p + 2*o = 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203289 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001194 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 1 - 5*l - 1\/3*l**3 + 0*l**2. Let v(u) be the first derivative of f(u). Let s(w) = -4*w. Give s(v(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26331253 + 26331253 + 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -1\/2, 4, 0 in ascending order.\nAnswer: -1\/2, -4\/13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + s + 32 = 11*n, 2*n - 38 = -5*s for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 25. Let k be s(21). Let f = 9 + 2. Sort k, f, -3 in decreasing order.\nAnswer: f, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 9. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/120 and 73\/930.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 1:27 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 7 = 10*g. Suppose -12*x + g*x + 50 = 0. Solve -x = -z - z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19943\/12243 + 4\/106?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -18, 2\/35, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 + k - 2. Let p be 5\/((0 - -2)\/(5 + -3)). Let s be r(p). What are the prime factors of (-26)\/(s + 16\/(-5))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0 - 12. Suppose o*n - 2 = -6. Suppose 0 = -3*b - 4*b. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:15 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 461348401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 26670*l**3 + 26700*l**2 - 133390*l + 80025 = 0.\nAnswer: -3, 1, 5335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 105032.\nAnswer: -10503.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 122540713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 141*u + 171*u - 282*u - 6*u**2 in the form p + z*u + v*u**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19035 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.3261\nAnswer: -0.03261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.382 in 2\/1133, 0.3, -3, 2?\nAnswer: 2\/1133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-16 - -6) + 19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 53*h + 19. Let m be r(-29). Let v = 963 + m. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.07 (c) 6033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 5*s. Let v be p(6). Let d(b) = -b - 3. What is the units digit of d(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631213695 to the power of 1\/3, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 7*u + 6. Determine n(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -29.81. Let p = -0.8099905 + n. Round p to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692731369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-5 - (-2 - -6)). Let f(t) = -t**2 + 6*t - 10. Let k be f(w). Which is the third smallest value? (a) k (b) -0.4 (c) -1\/3 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Suppose n*y - 2 = -4*r, -y = -0*y + 3*r. Suppose 2062 = 5*w + y*o, 5*o + 150 - 2210 = -5*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 - ((3 - 11) + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 36436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*r - 533 = -480, 3*n = 4*r + 55 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -30. Solve i - m = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56, 108, 160, 212?\n\"Answer: 52*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.49 - 20.49. Let m = -19\/84 - 1\/42. Sort d, m, 2, -4\/9 in decreasing order.\nAnswer: d, 2, m, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:36 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 10*x - 102. What is k(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -22, -0.2, -3\/7, -91?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.508427749 to four decimal places.\nAnswer: 0.5084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167391, 669326, 1505813, 2676852, 4182443?\n\"Answer: 167276*g**2 + 107*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11103 is divided by 585.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (33 - (2 + -2 + 38 + -24)) - 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2 - 2)*(-36*u**2 + 25*u + 35*u**2 - 7*u).\nAnswer: -2*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:53 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f - 3*f - f - 2*f + 4*f + (0*f - 2*f + 3*f)*(-2 + 2 - 2))*((-3 + 2*f**4 + 3)*(2 + 1 - 4) + (-10*f**4 - 13*f**4 + 0*f**4)*(1 + 3 + 1)).\nAnswer: -117*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**8\/16800 - m**7\/6300 - m**4\/24 + 2*m**2. Let p(w) be the second derivative of j(w). What is t in p(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 9*y + 5*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + 1194\/15. Suppose 49*q + 25*q - 740 = 0. What is the greatest common factor of h and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42222801 < 42222798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brroobmokyyk. Give prob of sequence yyko.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 240?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 406453 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 6:06 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-1)\/(3\/(-54)). What is the units digit of ((-2)\/12)\/(9\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 4*u**3 + 3*u**3)*(-15 + 15 - 18*u).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.49, -0.1, -1\/3, -3, 0.89, -2, -0.3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzc when four letters picked without replacement from {z: 2, c: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -881903\nAnswer: -264570.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.7432 - 41.1702. What is p rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9608 - -22199. Let x = -1042 + p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140\/11 - 1013\/77. Let q = -78.91 - -79. Which is the third smallest value? (a) q (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5251*m - 21662. Determine y(4).\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 4) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226761318.\nAnswer: 2, 3, 7, 257099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**2 + 2. Let m = 28 + -17. Let p(b) = 25*b**2 - 3. Let j(q) = m*i(q) + 6*p(q). Is j(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15252691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384215340.\nAnswer: 2, 5, 69210767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*n + 23, 5*q = -0*q + 5*n - 10. What is j in 26*j - 8*j + 6 - 3*j - 3*j**4 + 9*j**2 - 3*j**q = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*v**2 + 80*v**2 - 20*v**2 + 10*v**2 to the form b + o*v + s*v**2 and give s.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - 5*m + 5. Let g(d) = d**2 - d + 1. Let n be 5\/(-1 + 2 + -2). Give n*g(b) + j(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192328785 is divided by 679.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 - 4 = 0. Suppose 3*r - 5*u = 5, 6*r - 3*r + d*u = 19. Suppose 7*y - 8*y + r = 0. Calculate the remainder when 8 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, m: 5, b: 2, q: 2}. What is prob of sequence bm?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 104782\nAnswer: 209564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - l**2\/2 - 10138. Suppose 10 = 4*n - 18. Give y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*45966.\nAnswer: -59755.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - (-477)\/99) + (-5238)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**7\/840 - t**6\/60 + t**5\/60 + 5*t**4\/24 - 2*t**3\/3 - 26. Let k(x) be the third derivative of b(x). Determine k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128324048234.29991 + -128324814866. Let v = 766637 + c. Let n = v - 5.3. What is n rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985088 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11309?\nAnswer: 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 5*q + 10. What are the prime factors of i(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2. Let q(m) = 53*m**2 + 9*m + 15. Determine q(s(l)).\nAnswer: 4293*l**4 - 81*l**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -20. Let w = u + -10. Let o(x) = x - x + x + w - 1. Let n(g) = -7*g - 4. Give n(f) + 5*o(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjenrrnerrjernrrrnr. What is prob of picking 3 r and 1 j?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830\/19 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 + 20011?\nAnswer: 21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 - 17*d**2. Let x(q) = 32*q. What is s(x(g))?\nAnswer: 1024*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -5 - (3 + -3 + -6) - -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110061 - -47106129\/428. What is the common denominator of -99\/2 and f?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/63 and -80\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 0, -13 in ascending order.\nAnswer: -13, -3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (5 - -5) - (22 + (-2 - (-1 + 4)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w + 51. Let v(m) = 9*m + 26. Let j(h) = -6*u(h) + 13*v(h). Let p be j(-11). Which is the closest to -0.3? (a) -5 (b) -3\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 19. Let m = -12 - y. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 707148?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8974*a + 82 + 314 - 8971*a wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5743777 - 28193281 = 7*j. Let b = j + -16992928. What is b rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g - 125 - 125 = -46. Let b(t) = -4*t**3 - 7*t**2 - 5*t + 10. Let d(u) = -2*u**3 - 4*u**2 - 3*u + 5. Give g*b(s) - 5*d(s).\nAnswer: -2*s**3 - s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmllwlwwm. What is prob of sequence wml?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-2)\/(-16)). Suppose -f*u = -5 - 15. Suppose -u*m - 89 = -3*d + d, -d = -5*m - 52. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/6 - (-6)\/1. Let y(x) = 0 + x - 6 - x**3 - 5*x**2 - z*x - x. Suppose b = 2*f - 13 + 3, -2*f = -5*b - 26. What is y(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 2, t: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.42, 13, 0.2, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -1\/3 (c) -2\/483 (d) -1 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 275*q - 50064. Determine w(182).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*j - 223 = -132 + 172 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -9. Let u(n) = -12*n**3 + n + 1. Let v be u(-1). Let p be v + 1 - 3 - -4. Calculate the greatest common factor of p and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) 1\/5 (c) -1 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**35*q**(-2\/5)*q*q**(11\/2)*q assuming q is positive.\nAnswer: q**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7826958 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*f + 210*f - 149*f + (3*f - 5*f + 10*f)*(-5 + 1 + 2).\nAnswer: 118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11498 = -3*u + 591, -5*u = 3*v - 6517. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3\/5 - 225*u**2 - 28125*u - 1171875 = 0 for u.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z + 6 + 17*z**2 + 8*z**2 + 4*z - 26*z**2. Let r be f(18). Suppose u + 3*h + r = 0, -5*h - 121 = 4*u - 2*u. Which is smaller: -64 or u?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229764 divided by -2?\nAnswer: -114882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 7. Let x be m(6). Let i(r) = -r**2 - 6*r + 3. Let u = -1496 + 1492. Let s(g) = -g + 1. Determine u*s(y) + x*i(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/7)*b**(-24)*b*b\/(b\/(b*b**(-4\/9)))*b*b\/(b*b\/(b\/(b*b*b*b**25))*b) assuming b is positive.\nAnswer: b**(-3142\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 3160520075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 580 + -578. What is the nearest to 12 in g, 1\/10, -2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 - (55 + 17 + -36 - (15 - -4))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/12)\/((-4)\/(-1640))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w = 75906. Let m = 683503\/18 + w. Let q = m - 115\/6. Which is the second biggest value? (a) 5 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1)*-5)**2.\nAnswer: -600*sqrt(17) + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.307 - -17.307. Are l and 4\/10843 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -2 - -8) + (87 - 98)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5518779 divided by 2?\nAnswer: 5518779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2)\/(2\/(2\/6*7))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46695783?\nAnswer: 3, 563, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.3 - 4.36. Let y = -154 + 149.94. Let v = y - x. What is the second smallest value in -1, -4\/5, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.27\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18681254 to the power of 1\/2, to the nearest integer?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-51)\/(-68)) + 315\/(-1107).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*f - 5*f + 32, 0 = 5*f + 15. Solve -4*k + 27 = 4*n - t*n, -3*n - 3*k = 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258 + 0.7?\nAnswer: 1258.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458099688877 + 21?\nAnswer: 1458099688898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 + -258. Let h be (r\/210*7)\/(34\/6). Which is smaller: h or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -520*x**5 - 518*x**5 + 882*x**5 + (-12*x**2 + 7*x**2 + 26*x**2)*(-3*x**3 - 2 + 2).\nAnswer: -219*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 3*w - 1. Let o(g) = 6*g**2 + 12*g - 5. Let j(t) = -o(t) - 2*x(t). What is j(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*d - 154*d - 3*d**2 + 308*d.\nAnswer: -3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -51589?\nAnswer: -51591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 9087761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108 - 69*l + 38*l - 1459 + 33*l.\nAnswer: 2*l - 2567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.18 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**2 - 292*v + 128. Determine p(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23826 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -61.\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91798 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006933987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17472)\/(-585) - 4\/(-30). What is the first derivative of -200*f - l*f - 71 + 51*f wrt f?\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 415 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/14)\/((-2)\/(-4)). Let y = -3 + 3.4. Let t = -17 - -14. What is the nearest to -2\/3 in n, y, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 88. Let v = -13 + l. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1)**2 - sqrt(11))*4 + -4.\nAnswer: -60*sqrt(11) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*z - 47*z + 79261*z**2 - 79262*z**2 + 173*z - 41*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 407 = 2*t, -160 - 4 = -j - 5*t. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4593845, 9187695, 13781551, 18375413, 22969281?\n\"Answer: 3*z**2 + 4593841*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)*w**(2\/13) assuming w is positive.\nAnswer: w**(-362\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -3*s - 3*g + 8, 0 = -4*s - 5*g + 151. Suppose -50 = -s*y + 34*y. Solve -7 = 12*p + y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 207625 and 0.1?\nAnswer: 20762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -3*w. Let l be 3 - 100\/28 - (w + -5). Let g = -4.88 + -0.12. Put 0.3, l, g in decreasing order.\nAnswer: l, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:07 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.1387 to 0 decimal places.\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2 (b) -18191 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**2 + 4*o - 4. Let d be v(2). Let q = d - -110. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2\/3 - 318*g - 380\/3.\nAnswer: -2*(g + 95)*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -427*h**3 - 434*h**3 + h**2 - 13 + 862*h**3. What is the tens digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*z**4 + 170*z**4 + 103*z**4 + (-2 - 2*z**3 + 2)*(-4*z - 5*z + 6*z).\nAnswer: 205*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1644 - -1645. Let q(h) = -6*h**3 + 5*h**2 + h - 1. Let l(z) = z**3 - z**2 - z. Determine s*q(b) + 3*l(b).\nAnswer: -3*b**3 + 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/105 - 9*v**5\/70 - 25*v**4\/42 - 9*v**3\/7 - 10*v**2\/7 - 348*v. Suppose y(u) = 0. Calculate u.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(11) + 2)*5*4)**2.\nAnswer: 1720*sqrt(11) + 6249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/3))**(3\/20))**(-15\/4))**(-17\/5) assuming u is positive.\nAnswer: u**(51\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 3 + (1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*(-3)\/(9\/(-54)*-9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/6 - 3\/1. Suppose -n = -5*m + 987, 3*n - 384 = -2*m + s*n. Let a be (36\/5)\/(2\/5). What is the highest common divisor of a and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-97)\/7 + (0 - -9). What is z in -16\/7 - 10\/7*z**3 + d*z + 2\/7*z**4 + 12\/7*z**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 9) in base 5?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -249141\nAnswer: -498282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-20)*(-72)\/450. Is 0 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1445*k - 720*k - 731*k + 2*k**2 = 0. What is k?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, -4, 4, -2\/77, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 30. Let t be u(-11). Suppose -90 = t*f - 636. Calculate the remainder when f is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 286\/3*q + 46\/3*q**2 + 242\/3 + 2\/3*q**3 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.3, -125, -0.008 in descending order.\nAnswer: 1.3, 1, -0.008, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:21 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 1, s: 1, j: 1}. Give prob of sequence js.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 1044\/6*3\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163660303 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 3223524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*g + 10, 158851*g = 4*h + 158837*g + 100 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**5 + 4*q**5 + q**5 + (q**5 - 6*q**5 + 3*q**5)*(2 - 4 + 0) + 2*q**5 + 5 - 5 + 3*q**3 - 3*q**3 - 2*q**5)*(-1 + 3 + 0).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*z - 71, -28 - 48 = -5*z + 2*n. Let v = z + -9. What is the nearest to -2\/9 in 1\/3, v, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 20116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**4\/24 + m**2. Let n be p(-1). Suppose 0 = l + n - 7. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b2c4 - -c?\nAnswer: -1b2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1629, -6530, -14699, -26136, -40841, -58814, -80055?\nAnswer: -104564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. What is the second derivative of w*u + 3*u**5 - 7*u**5 + u wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 - 2*c + 2. Suppose -2*m + 3 = -m. Let y be h(m). Let r(f) = -f**3 + 4*f**2 + 6*f - 2. List the prime factors of r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 40. Let z be ((-1)\/(-2))\/(1\/(-4)). Let g = r - z. Calculate the remainder when 28 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26732407441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h - 255. What is the third derivative of 3417 - 18*l + 5*l**2 + h*l**3 - 3417 wrt l?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -330346904 or -330346908?\nAnswer: -330346904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*i*p**2 - 12*g*i*w - 3*g*p**2 - i*p**2*w + i*p**2 - 4*i*p*w - 4*i*p + p**2 wrt p?\nAnswer: -2*g*i - 6*g - 2*i*w + 2*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = -0*y + 3*v, -3*v = 3*y - 9. Let x be ((-12)\/8)\/(y\/4). Is x*3*(-57)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/((-98)\/(-21)*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7 + 8. Suppose 0 = -4*r - 2*k - 2*k + 24, 21 = o*r - 4*k. Let y(v) = 9*v - 2. Let w be y(3). What is the greatest common divisor of w and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4891 divided by 73?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*n**3 + 18*n**3 - 65 - 26 - 2*n**2 - 6*n + 88 + n in the form r*n + t + y*n**3 + m*n**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1180\/150 - 6\/(-45). Let b(d) = m*d + 82*d - d. Is b(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 11 + 2 - 13.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b + 3. Suppose 2*s = -b*s. Suppose s = -p - 6*v + v + 27, -5*p = 2*v - 20. Solve 2*n - p = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/6*(-72)\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + b)*(66*b**2 + 41*b - 41*b) - 185*b**2 + 180*b**2 + 9*b**3 + 2*b**3.\nAnswer: -55*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m - 1. Suppose 0 = b - 18 + 119. Let w = 97 + b. What is f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((-294)\/161) + -3. Let g = -15 + 133\/9. What is the biggest value in -0.14, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-6))\/(4\/(-12)). Let a(k) = -24*k. Suppose 10*t + 2*t + 192 = 0. Let b(n) = -8*n. Let p(h) = d*a(h) + t*b(h). Let j(v) = -v. Give p(j(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x + 45 = 0. Suppose -2*a - x = -5*a. Suppose 0 = 3*i - 2*k + 276, -i - 52 = a*k + 40. What is i rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.10792 (b) 24 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + c**4\/4 - c**3\/2 - c**2\/2 + c\/4 + 1\/4.\nAnswer: (c - 1)**2*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 15*u**2 - 11*u - 4. Is q(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 58384*u - 408789. Calculate l(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/2*(-4 + 30\/5). Let q be -5 + (-123)\/(-27) + 20370\/c. What is the highest common divisor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15580574 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 - 6*w. Let v = -16 + 11. Let d(r) = 19*r + 5*r**2 - 2*r - 7*r - 7*r. What is v*d(j) - 3*z(j)?\nAnswer: 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-35))\/(-16*(-140)\/169344)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*q + 1)*(-2 - 7 - 22 - 46 + 2*q**2).\nAnswer: 4*q**3 - 154*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.228 * -29.8.\nAnswer: 6.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185992 is divided by 612?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 94757?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2052\/570)\/(-1*(-6)\/27820)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/2361, -3?\nAnswer: -2\/2361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1. Let t(p) = -80*p**2 + 33*p + 2. Let m(g) = -t(g) + 2*u(g). What is the second derivative of m(s) wrt s?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 1242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*y + k, 515*y - 511*y + k = 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 14) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131325 + 316474. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1781856 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*f - 31, -j + 10 - 1 = 3*f. Let y be (0 - -4)*1\/(j\/9). Solve -5 - 1 = -y*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 46?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61.16081 litres?\nAnswer: 61160.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 17*h + 82. Determine l(-20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -10) + (-486)\/150. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2. Let h be z(-1). Let p = 20 + -28. Let t = 143457 + -1004198\/7. What is the second smallest value in -0.1, p, t, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17332 rounded to 2 decimal places?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9498*d**3*g**2*z**2 - 3*d**3*g*z**3 + d**2*g**2*z**2 + 4*d**2*g**2*z + 5*d*g**2 - 7*d*z**2 - 2*g**2*z**3 wrt d.\nAnswer: -56988*g**2*z**2 - 18*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043046 to 7 dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3501251 (base 7) to base 4\nAnswer: 1222303103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/8 - 18423*a + 1991871\/2 = 0.\nAnswer: -49182, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*p + 3 = -3, c + p = 7. Suppose c*j + 16 = 2*z, 6 = 2*j + 4*z - 6. Does 17 divide (-4)\/j*46\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1340 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (-30 - -36 - (5 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pphh when four letters picked without replacement from hhhphph?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12\/(a**(1\/2)*a*a*a*a)*(a\/a**(5\/3)*a)\/(a\/(a**(-13)\/a)) assuming a is positive.\nAnswer: a**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 15 - 37 = 0. Suppose g - 2*g = -b. Solve 16 = 4*p + 5*i, -g*p + 0*i + 2 = i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1464 - 1?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3)\/sqrt(9) + (2*sqrt(156))\/sqrt(12) + (-2*(sqrt(117) - (sqrt(117) + 1*sqrt(117)) - sqrt(117)) + sqrt(117))\/sqrt(324).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5953 - 13297 = -34*w. Calculate the lowest common multiple of 36 and w.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 2*n**2 - n + (0*n**2 - 2*n**2 + 3*n**2)*(7 + 0 - 4).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppkppppppppkk. What is prob of picking 3 p?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 55. Let i = l + -26. Let p = 1.93 + 0.07. Sort p, i, -1.\nAnswer: -1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2\/2 - 6*t - 3. Let b be l(-8). Determine o so that 2*o**2 + o**2 - 5*o**3 - 5 + b*o**4 + o + 1 + 3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59510087183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -7. Suppose r*b = 23*b. Solve 0 = -b*x + 2*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31938178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxnxrxqknrxqnxrqr. What is prob of picking 1 n, 2 r, and 1 x?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*a + 451*a - 97*a + (2*a - a + 0*a)*(-2 - 1 - 2))*(-2*a**2 + 1 - a**2 + 4*a**2 - 2*a).\nAnswer: 462*a**3 - 924*a**2 + 462*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 1, l: 4, n: 1, y: 1}. Give prob of picking 3 l and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 137. Let l(q) = 4*q - 69. Let k(t) = -13*l(t) - 6*v(t). Is 15 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - 0 - (-37 + 32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-17)\/(i**(1\/63)\/i) assuming i is positive.\nAnswer: i**(-1009\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -15.9. Let q be 4 + (-35)\/20 - 2. Put q, h, -5 in descending order.\nAnswer: q, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bsssaaababaabsa.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67.5898 + -1.5198. Round j to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925525?\nAnswer: 3, 5, 19, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 + 9*m + 9. Let j(s) = -5*s**2 + 4*s + 4. Let f(o) = 6*a(o) - 13*j(o). Let t(d) = -12*d - 7. Let v be t(-5). Let w = 51 - v. Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 9 = 9*t. Let g be t - 5 - (-64)\/30. Suppose x = -x - 2. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89026, -356181, -801432, -1424773, -2226198, -3205701?\nAnswer: -4363276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 9806770*v + 9806768.\nAnswer: 2*(v - 4903384)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1564, -1563, -1562, -1561, -1560?\n\"Answer: h - 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdftfdfvfvfxdtv. Give prob of picking 1 x, 1 d, and 2 v.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 11 + 12 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 16*g**2 + 16*g + 14. Let u be h(-15). Which is the nearest to u? (a) 1\/2 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**7\/1365 + o**6\/12 - 231*o**5\/65 + 2299*o**4\/39 + 10648*o**3\/39 - 16*o**2 + 11. Determine d so that z(d) = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 51. Let h(c) = -c**3 - c**2 + 3*c - 1. Let r be h(-3). Solve 0 = 2*a + w + r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2585734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*h - 32 = 67, -5*t - h - 495 = 0. Let r be t\/(-3) - 4\/1. Let l(c) = -8*c**2 - r*c - 27*c + 56*c. Let b(j) = -2*j**2. Give l(b(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 405 - -90.69289018.\nAnswer: 495.69289018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - -4) + -6 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 1 - (-6 + (7 - 4))) + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2980\/(-5960)*4\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 + c**2 + 5*c**2 + 4*c**2 - 2*c**2. Let b(p) = -5*p**2. Suppose -2*a = 3*g - 2 + 27, 4*g = -2*a - 30. What is a*b(d) - 6*v(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2178 divide 41942634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -1, -0.11, 7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38972 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 j(g) = -221*g**3 - 5*g**2 + 6*g + 957. Let h(f) = 265*f**3 + 6*f**2 - 7*f - 957. What is 5*h(i) + 6*j(i)?\nAnswer: -i**3 + i + 957","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2683406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -278284, -278565, -278844, -279121, -279396?\n\"Answer: s**2 - 284*s - 278001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.12 + 32.12. Let l = 50\/3 + -17. Are g and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50974 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4732, 9437, 14114, 18763, 23384, 27977?\n\"Answer: -14*w**2 + 4747*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710501721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85982412 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 4*s + 52, -14 = -o + 2*s. Let u = 7 - 16. Let n = o + u. Which is the nearest to -1? (a) 5 (b) n (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289084401 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -359.3 + 390. Let n = -30 + p. Let z = -1.1 + n. Sort 0, -0.1, z in ascending order.\nAnswer: z, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 2496?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -17\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/7 + 1238*b\/7 + 2532 = 0.\nAnswer: -14, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-20*2562\/(-840))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**6\/30 - n**4\/4 - 2*n - 3. Let q(r) be the first derivative of f(r). Find the third derivative of q(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21370933 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**2 - 53*o**2 - 9*o**2.\nAnswer: -101*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -55*j - 14. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u = 217 + 161 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (103 - 222 - -162) + 0 + -90\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -19?\nAnswer: -11\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 87914315.761 from -1897.\nAnswer: -87916212.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + 5*j + 3. Let k be g(-4). Let q(y) = -y + 1. Let b(r) = -3*r + 2. Let h(l) = k*b(l) + 2*q(l). Calculate h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q*q**6*q)))*(q\/(q\/q**0*q))\/q*q*q*((q**0\/q*q*q)\/q)**(12\/13))\/((q**(2\/3)\/q)**18)**(1\/6) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 - 487*c**2 + 487*c**2.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 326 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let h be f\/((-5)\/((-50)\/(-4))). Suppose 3*z - 17 = -2*z - t, z + h = -3*t. Put z, 5, 0 in increasing order.\nAnswer: 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/(-3*2\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3726*o + 8005*o + 7286*o to the form g*o + j and give g.\nAnswer: 11565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124380 is divided by 423?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**4 + 11*i**3 - 4*i**2 - 5095?\nAnswer: -4*i**3 + 33*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*f - 7, -2*b = -3*f - 8 + 29. Let t(y) = -9*y - 17. List the prime factors of t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15890701039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 20 = -4*n - 6, -b - n = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30482, -29095, -25330, -17999, -5914?\nAnswer: 12113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 + 37 - 62 + 7*d - 2*d**3 - 1766*d**4 + 26 + 1763*d**4 as f*d**2 + n*d**3 + b*d**4 + i*d + w and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 4:17 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1081.\nAnswer: 1081.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416487062, -416487060, -416487058, -416487056, -416487054, -416487052?\nAnswer: -416487050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16398490, -32796985, -49195480, -65593975, -81992470?\n\"Answer: -16398495*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -236*(7 - 63\/6). Let x(a) = 276 + 4*a + 272 - s + 276. Let d(f) = f. Determine -5*d(k) + x(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 8. Let r be h(-5). Let x = 15 - r. Is -11 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15333437 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3259135.94 to the nearest ten thousand.\nAnswer: -3260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2318*v**2 - 345*v**3 + 872*v**2 + 96*v**3 + 920*v**3 + 951*v**2 wrt v.\nAnswer: 4026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 251*s - 1252. Determine w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 times 618?\nAnswer: -163152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 63322, 5 in descending order.\nAnswer: 63322, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1021\/8 - 128. Let n = 39.29 - 39. Let p = 0.09 - n. What is the nearest to 0.1 in u, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 divided by -1254?\nAnswer: 175\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 8*b**2 - 2*b + 12. Let z be o(8). What are the prime factors of (2\/(-3))\/(z\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*10*6\/900*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - u - 376706 = 2*h, 5*u = h + 376724. Let f = 166709 + h. What is f rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = w + 18, -4*w + 4*i - 13 = -5. Suppose w = -0*t - t. Are t and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2432 divided by 64\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*h - 144*h - 132 = 140*h, 3*h = -4*d - 103 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -73*b + 18. Let k be h(-2). Let w = k + -164. Solve 0 = m - w*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n - 108. Let o be y(10). Suppose -o*u = -101*u - 10. What is the remainder when 45 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 13 + (5 - 26) + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*s + 48 + 21. Solve -4*z + f = 4, -4*f - s = 3*z - 0*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 401*l**2 - 130*l - 19. Let o(n) = n**2 - n - 2. Let g(s) = 8*o(s) - q(s). Find the second derivative of g(h) wrt h.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 - 16*h + 16. Let p(k) be the first derivative of -2*k**3\/3 + 3*k**2\/2 - 3*k + 345. Let d = -11 - -27. Determine d*p(u) + 3*c(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4643, -0.5, 3, -9 in decreasing order.\nAnswer: 3, 0, -0.5, -3, -9, -4643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9044879, -18089715, -27134551, -36179387, -45224223?\n\"Answer: -9044836*n - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235 - 192.8. Let a = -2.1 + s. Let b = 34 - a. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291659669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 10, d: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-6)\/(z\/z**1)**(25\/3))\/((z**(-1)\/z)**(1\/29)\/(z*((z**0\/z)\/z*z)\/z*z*z*z**(6\/7))) assuming z is positive.\nAnswer: z**(391\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmvxxxje. Give prob of sequence ejv.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 3 - (0 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 + 18*b - 1. Calculate x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7861221.\nAnswer: 3, 873469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 157. Let g(u) = -145*u - 29. What is o(g(h))?\nAnswer: 290*h - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 5*p + 7. Let g be j(7). Let r(k) = -15*k + 9. Calculate the remainder when r(g) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 64 - 51 - 2*b**3 + 172.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8367*f**2 - 10*f - 18. Let n be h(-3). Is n\/12*(-96)\/(-120) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 804.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -13. Let r = 4 + w. Suppose -64*l = -254 + 62. What is the third smallest value in l, r, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7 = -4*b + 19, 4*b = -5*d + 19. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.004, -0.3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*p - 3*m + 4*m, -5*p = 5*m - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/49 (b) -53\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 355, 0.2, 2\/15, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 45615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 5. Let f(r) = -7*r**3 - 7*r**2 + 17*r - 4. Let a(y) = 8*y**3 + 7*y**2 - 18*y + 5. Let n(z) = -6*a(z) - 7*f(z). Is n(s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.92444 millennia to decades.\nAnswer: 4292.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 165*b**2 - 2478*b + 40. Let v be n(15). Put 123, 0, -2, v in increasing order.\nAnswer: v, -2, 0, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/17)\/d**(-17\/3) assuming d is positive.\nAnswer: d**(277\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252787.9 kilograms to tonnes.\nAnswer: 252.7879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/160*4)\/(6*(-5)\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 2*r + r. Let b(y) = 12*y + 377. Let d be b(-31). Solve -5*m = -d*s - 0*s + 45, r = m + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = 4*v, -2*b = -4*v - v - 9. Let y be 0\/(1 - (-6)\/v). Suppose -f - 77 = -3*w + 3*f, 4*w + f - 90 = y. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1068*f. Let p(g) = 2*g. Calculate p(o(b)).\nAnswer: 2136*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/4)*l**2)**(-19) assuming l is positive.\nAnswer: l**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 - 15*m**4 - 96*m**3 - 3*m**2 + m + 1129 wrt m?\nAnswer: -240*m**3 - 360*m - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/15111 and 73\/90.\nAnswer: 151110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 30. Suppose 3*u + t = 8*u. Let z(h) = -h**3 + 6*h**2 - 5*h. Give z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okv when three letters picked without replacement from {o: 1, z: 1, v: 9, r: 1, k: 4, a: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 4967.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/5 - 831*w**4\/5 - 12681*w**3\/5 + 2384559*w**2 + 143292240*w - 2054905200 = 0.\nAnswer: -135, 12, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m + 3*m - 7*m in the form g + v*m and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 10*i**2 - i + 13. Let t be f(10). Suppose 9 = -t*d + 6*d. Let m be 28\/21*d\/10*10. Solve 5*j + 4*z = -m, 0 = 2*z - z + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*w - 471 + 191. Let u(h) = -2*h + 5. Let k = -8 - -3. Let z(o) = -3*o + 7. Calculate k*z(g) + w*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 3*t**2 - 2*t - 3. Give x(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1626492 and 188428.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 10\/663, 56, -0.4?\nAnswer: 10\/663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/80 + (16\/(-6) - 500822\/9960).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -881, -776, -573, -248, 223, 864, 1699, 2752?\n\"Answer: 4*c**3 + 25*c**2 + 2*c - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 941.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/2*(-1 + -1). Let j = -55 + 59. What is the second biggest value in -3, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 v, and 1 w when four letters picked without replacement from {h: 3, v: 2, w: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995495 to the power of 1\/2, to the nearest integer?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(((-156)\/13)\/(-108))\/((-10)\/(-90))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*s**2 - 2\/11*s**3 + 0*s + 0 = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*6 + (1 - 2). Let o(s) = s**2 + 5*s - 9. Let y be o(q). Solve -y*b - 1 - 14 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34\/(-4)*(3 - 4)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.3 + -0.7. Let b = -8 - -5. Let u = 408 - 3674\/9. Sort u, b, k in descending order.\nAnswer: u, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32705, 32708, 32711?\nAnswer: 32714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -92, -161, -206, -227, -224?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29400 and 161700?\nAnswer: 323400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -347506, 4, -5, 3 in decreasing order.\nAnswer: 4, 3, -5, -347506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282059?\nAnswer: 282059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2265915 and 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210015 is divided by 23324.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let i be 10 - (2 - (z + 2)). Solve -2*c + i + 8 = 5*w, 0 = 5*w - 4*c - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(2 + (-3 - -3)). Let s = 8 - j. Let q(d) = 2*d**2 - 7*d + 4. Let i be q(s). Solve f - 3*f - i = -2*z, f + 4*z = 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 598252000 to the nearest 1000000.\nAnswer: 598000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-435)\/(-405) - -16?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57107599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/15)\/(o**(-2\/5)*o) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*y - 302 = 0, 5*a + y = -y + 296. Suppose -10 = 6*s - a. What is the least common multiple of 2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3\/4 + 43*q**2\/4 + 483*q\/4 + 441\/4 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w**2 - 17*w + 9. Let f(z) = -18*z**2 - 15*z + 8. Give 6*f(v) - 5*m(v).\nAnswer: -3*v**2 - 5*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 65284034263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*n - 0*n. Suppose -10 = 5*b - n. Suppose 255*o - 259*o = -8. Solve 0 = v - b*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Suppose -15 = 5*m - 5*h - 5, k*h - 4 = 2*m. Is (-2)\/2 + (m - -50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1375 divide 11680625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*q + 67*q - 2*q)*((0*q**3 + 3*q**3 - 5*q**3)*(-3*q + 7*q - 2*q) - q**4 - q**4 + q**4 + 0*q**4 - 4*q**4 + 0*q**4).\nAnswer: -873*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 241114 divided by 261?\nAnswer: 241114\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2482*g + 2473*g - 19*g**2 - 4953*g - 67*g**4 in the form w*g**2 + k + j*g**4 + l*g + f*g**3 and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from {m: 4, w: 2, g: 4, c: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498462?\nAnswer: 2, 2249231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 3. Let j = 109 - 104. What is h(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (6 + 12 - -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 28*w**2 - 24 + 27*w**2)*(-w + 3*w - 3 + 2).\nAnswer: -2*w**3 + w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**2 + 2*d + 1. What is b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 14 + (18 - 23).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8025\/2 - -4016. What is the nearest to 3\/2 in 14, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fejvvvvcvefvvv. Give prob of picking 2 e, 1 f, and 1 v.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/2))**17)**(-3\/8)*(m\/((m*(m*m\/m**(2\/11)*m)\/m)\/m))**(5\/6)\/(m\/(m\/(m\/m**(1\/19)))*m**(-1\/9)) assuming m is positive.\nAnswer: m**(-141619\/30096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -c + a + 29, 4*c = -2*a + 52. Solve c = 39*x + 130 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002501 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 47 = -5. What is the first derivative of -187*h**3 - 2*h + b + 2*h + 212*h**3 wrt h?\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 7*q - 7. Determine v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 26 = -2. Let w = -5 + a. Let t = -419 - -420. Solve -m = -3*p + t, 6*m - w*p = 2*m - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2223037 and -0.5?\nAnswer: 0.11115185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-20))\/8*(2023\/(-21))\/17?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98650.1783 + 98646. Let t = c - -0.0483. Let j = t + 0.03. What is j rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78885140 divided by -10.\nAnswer: -7888514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15797, -15722, -15647?\n\"Answer: 75*d - 15872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 3*w**2 - w)*(4 - 3 - 3) + w**2 + 2*w**2 - w**2 + 84*w - 25*w**2 - 84*w + (2*w + 0*w + 0*w)*(2*w + 2 - 2) in the form i*w**2 + u*w + n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30097577?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 5*t, -4*l + 3*t - 6 = -2*l. Let f = l + 8. Let d be 36\/8*4\/30. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullctoluctccctooc. Give prob of sequence tcc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2) - (-10)\/(-2). Sort r, -4, -10 in decreasing order.\nAnswer: r, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m**2 + 6169 - 6169 + (-3*m - m**2 + 3*m)*(1 - 1 - 1) - 3*m**2 + 2*m**2 + 2*m**2 + (0*m - 2*m + m)*(0*m + m - 3*m).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-1*sqrt(72))*3.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -7 (c) -3 (d) 62\/11169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 - 6*l**2 + 95*l + 806. Give s(-8).\nAnswer: -1874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/5))**(-18)\/(w\/(w*w*w*w**(-1\/5))*w**(6\/5)) assuming w is positive.\nAnswer: w**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - v)*(-10 + 14 + 16) - 24*v + 52*v - 26*v + (-1 - 3 + 2)*(-4*v - v + 4*v) - 1 - v + 1 + v + 1 - 1 + 3*v - v + v.\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11854 - -0.01854. Sort a, 0, 0.3, -3, -4\/17 in ascending order.\nAnswer: -3, -4\/17, a, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y - 3. Let m be b(-2). Suppose -4*j = -m*p + 4*p - 1198, -5*p + 309 = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -14. Solve 2*m - 10 + d = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - n - 8*n + 6*n - 3*n + 914*n**3 in the form t*n**2 + y*n**3 + w*n + l and give y.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7947\/5 - 1590. What is the biggest value in -0.5, -5, s, -238?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7718 and 26146.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -197*i**2 - 8*i - 176. Let v(t) = -t**2 - t - 2. Let g(n) = -6*v(n) + y(n). Find the first derivative of g(r) wrt r.\nAnswer: -382*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -25. Let p(g) = -7 + 2*g + 12*g**2 + 19 - 8*g - 4*g. Let v(k) = k**2 - k + 1. Let h(u) = f*v(u) + p(u). What is the first derivative of h(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3218797 divided by 189341.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 6, 5.\nAnswer: -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d - 416. Calculate i(-45).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4565.\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269 divided by -253.\nAnswer: 269\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330 + -2132?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/30 + 5*q**4\/3 + 4*q**2 - 10*q. Let g be h(-20). Which is the closest to -0.3? (a) -0.02 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100010001101 (base 2) to base 11.\nAnswer: 16039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 37 = 3*h - 6, 3*g + 1 = h. What is the third derivative of h*q**6 + 7*q**6 - 24*q**2 - 26*q**6 wrt q?\nAnswer: -720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 483*r**3 - 566 wrt r.\nAnswer: 1449*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.94074 kilograms to tonnes.\nAnswer: 0.02694074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {o: 2, i: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzgn when four letters picked without replacement from nnznnnnnggnznnnnz.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59590759.\nAnswer: 433, 137623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 15*h**2 + 17*h - 22. Give n(7).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632511 (base 8) in base 6?\nAnswer: 14043001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10458 - 25645 = -441*w + 3194*w + 13451 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - (-5)\/(-56). Let y = -1.5 - -0.8. Let j = y + 2.7. Which is the third smallest value? (a) j (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdd when three letters picked without replacement from zzd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 33. Let l(f) = f**u + 0*f**2 - 2*f**2 - 18 - 18*f. Let t be l(-15). Calculate the highest common divisor of t and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 33 = 5*a - 2*a, -31 = -h + 5*a. Let y be (2\/(-6))\/((-1)\/3). Let m be 7 + 0 + (-1 - y). Solve 19 + h = m*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2, 2, 3, -5.\nAnswer: -39, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m**4\/9 - 66*m**3 + 748*m**2\/3 - 1528*m\/9 - 112 = 0. Calculate m.\nAnswer: -63, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 33*d**2 - 11*d - 124. What is the units digit of f(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j - 725 = -142*j + 2522 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1301031 (base 4) to base 14\nAnswer: -28d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1293 = -3*k, 0 = -0*q + 3*q - 3*k - 1317. What is the tens digit of q\/2 + 159\/(-106)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 3*o + (-2 + 5 - 5)*(2*o + 3*o - 3*o) - 2*o + 2*o + o + 12*o + 13 - 13)*(3 - 1 + 1).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/1046417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -641, -610, -579, -548, -517, -486?\n\"Answer: 31*t - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**3 + 24*m**2 + 17*m + 8. Let v(w) = 2*w**3 - 4*w**2 - 2*w - 2. Let g(h) = r(h) + 6*v(h). What is g(2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101010100001 + -1000011?\nAnswer: 1001011101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35659937 or -2?\nAnswer: 35659937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + sqrt(7) + 2) - (sqrt(28)*2)**2.\nAnswer: -118 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 41*h - 260 = 0. Calculate the least common multiple of h and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + a**5 + 175*a**3 - 3119*a**2 - 50 wrt a?\nAnswer: 240*a**3 + 60*a**2 + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058906?\nAnswer: 2, 3, 409, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2*x - 152*p**2 + 147*p*x - 6*p + 2886672*x wrt p?\nAnswer: -2*p*x - 304*p + 147*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 7. Calculate r(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142085556 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/sqrt(3)) - (sqrt(300) + 0) - -1*(sqrt(3) - (-4*sqrt(6)\/sqrt(2))**2)) + -4.\nAnswer: -52 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108961577\/52 - 2096518. Let t = -1103 - z. Let x = t + 83\/364. Which is the biggest value? (a) 0.1 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -16*z. What is the third biggest value in -0.1, 0, z, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*8\/96?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 34. Let v = -9\/2 - p. Factor 3*k**2 + 6*k + v*k**3 + 4.\nAnswer: (k + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/21 and -7\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 118910560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2770 divided by 24187.\nAnswer: -2770\/24187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/5195 + -15361607\/10390. Let a = h + 1446. What is the common denominator of a and -57\/544?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673133917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 78 = 13*x + 3*o, -x = 2*o - 79. Suppose 14 - 98 = -2*h. Calculate the remainder when x is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3272 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-6))\/((-3)\/9). Suppose 1445 = x*o + 2*o + j, 1175 = 4*o - 3*j. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43532030 + -343?\nAnswer: -43532373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -25*w**4\/24 - 11*w**3\/2 + 20*w**2. Let c be g(-6). Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10.323, 5, -160 in increasing order.\nAnswer: -160, -10.323, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**4 + 2 - 28*q**2 - 30*q**2 + 55*q**2 to the form s*q**2 + n + t*q**4 + x*q**3 + f*q and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z. Let j(w) be the second derivative of 0*w**2 + 5*w + 0*w**3 - 1\/4*w**4 + 0. Calculate j(g(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/120 + 3*f**5\/20 + f**4\/4 - 11*f**3\/6 - f**2. Let o be n(-8). Suppose 6*x - o*x - 47 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 - 11?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 - 78*a - 38 = 0 for a.\nAnswer: -19, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:59 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/8 - 4*m**3 + m**2. Let d be b(-7). Is 1\/(d\/6*4\/(-634)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22394, 89415, 201122, 357521, 558618, 804419?\n\"Answer: d**3 + 22337*d**2 + 3*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 6. Suppose -3*p - 3 = 3*w, -26 = -5*w + 4*p - 76. Let g be 3*(-2)\/w - 0. Sort g, 2, s in increasing order.\nAnswer: g, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 2\/993, 5, 5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 - 36970*h**2 - 197 + 331.\nAnswer: -36970*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 f when three letters picked without replacement from dplpffdfpdfdff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j = 295. Let g be 16\/6*(j + (-8)\/(-2)). Suppose 0 = -4*c + c + g. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5795)\/(-2318)*(1 + 1012\/20). Let l(d) = d**3 - 2*d**2 - d - 8. Let g be l(6). Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9))**(-2\/191) assuming r is positive.\nAnswer: r**(18\/191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 114841 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9168\/(-288))\/191*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 0*y**2 + 13*y**2 + 6*y**2 as s + n*y + w*y**2 and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1058272 and 182948772.\nAnswer: 1463590176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 6984912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 39. Let f be c(-17). Suppose f + 23 = 2*y. Suppose -4*q - y = -142. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c - 2*c + 41 = 0, 4*r - 3*c - 59 = 0. What is the remainder when 47 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1950)\/(-585)*((-38)\/(-20) - 2\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0*d**2 - 1\/6*d**3 + 0*d**4 + 0 + 8*d - 7\/20*d**5. What is the second derivative of w(q) wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j + 92*j + 102 - 87*j in the form r + k*j and give r.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 27. Let q be k(15). Is 2\/q*-6 - (-13 - 2194) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1615526806 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334 - 312. What is the third smallest value in n, 1\/2, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513964520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 2*w + 1. Let u(p) = p**3 + 7*p**2 + 5*p + 2. What is 5*c(m) - 2*u(m)?\nAnswer: -2*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 903260665 less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1530659, 3061318, 4591977, 6122636, 7653295, 9183954?\n\"Answer: 1530659*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)\/a**(2\/21))\/(a**(-8)\/(a**0\/a)) assuming a is positive.\nAnswer: a**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-14)\/(-35)*4\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a + 2*a - 3*a + 4 + 0*a. Is w(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 218*s + 3080. Is 32 a factor of n(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 3*r**2 - r - 3. Let l be y(-2). Suppose -2*w - 10 = -7*w. What is the second derivative of l*n**2 - 4*n + n - 4*n**w wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -50*r**3 + 3*r**2 - 1. Let q = 68 - 69. Let u be i(q). Let g = 57 - u. Solve 0 = -g*j - 2*n + 15, -j + 3 + 0 = -3*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, 37\/3, 5, 6 in descending order.\nAnswer: 37\/3, 6, 5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47571467 + -88916294. Let r = 7947530 - q. Let u = r - 23792357. What is u rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 99529687 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.5, 0.06, 11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-7)*49\/14. Let t be (318\/(-3)*1)\/w. Let n = 101 + t. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5*c**(1\/3)\/c*c)\/((c\/(c\/(c*c**(-1\/12))*c)*c)\/(c*c**(2\/17))))\/(c**(3\/2)*c\/c**(-8))**(-14\/11) assuming c is positive.\nAnswer: c**(44651\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13649\/1638 + -64\/117. What is the common denominator of y and -117\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -111*x + 20. Let s be u(-7). Let c = 3052616\/9 - 338379. Let o = s - c. Calculate the common denominator of -35\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36640*a*k**2*v - 4*a*k*v + k**2 + 109*k*v - 2*k wrt a?\nAnswer: 36640*k**2*v - 4*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/115920*-69 + ((-20)\/42)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 484, 1626, 3848, 7510?\nAnswer: 12972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 14*o**2 - 2*o - 12*o**2 - 3*o. Let h(r) be the second derivative of -3*r - 1\/12*r**4 + 0*r**2 + 0 + 1\/6*r**3. Give -f(m) - h(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -21) + 3 + -3. Find the first derivative of -13*a**4 + 44 + w + 3*a**3 + 5 - 2*a**3 wrt a.\nAnswer: -52*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*j = -1, 909*j = -3*t + 942*j + 51 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 13520 = 2160. What is the remainder when u is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*u + 190*u + 153 = 0. Let n be 12\/(-60) + 52\/10. Suppose 0 = -n*c + 25. Solve -c*z = -2*v + u, 0 = -2*v + z + 2*z + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (-3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times 0.2\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/5, -5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:05 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17476 divided by 17?\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:09 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 431718 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 o, and 1 x when four letters picked without replacement from goxxxogxoxoxxxooxoo.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2129ba7 (base 12) to base 15.\nAnswer: 84090a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + k + 3. Let h be t(-3). Let j(u) = 5*u**2 - 89*u - 90. Let n be j(-1). What is the highest common divisor of h and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*l - 157*l = -3524 - 2812. Calculate the highest common factor of 516 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (5 - (-2 + 4 + -9 + 8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 638181282 + 638181282.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5904 * -87.404\nAnswer: 516033.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 1, q: 5, h: 5, b: 1}. What is prob of picking 2 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*s + 54 = 20, t - 2*s + 23 = 0. Put 19, t, 4 in decreasing order.\nAnswer: 19, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**4\/4 - 2*i + 19. Let h(c) = -6*c**3 - 6*c**2 - 16*c + 4. Let v(l) = h(l) - 10*m(l). Factor v(j).\nAnswer: 2*(j - 2)*(j + 2)*(2*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 200, 521, 994?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 39708.65 hours?\nAnswer: 142951140000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, 22\/3, -2\/12025?\nAnswer: -2\/12025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*(-10 + 364\/39). Is 0.2 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532059 and 4048?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.418575 meters in nanometers?\nAnswer: 418575000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4 + 150*l**3 + 160*l**2 - 150*l - 155 = 0.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:39 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85279 is divided by 1356?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219265 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.400088 - 1.4. What is w rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4413793ug?\nAnswer: 0.0000004413793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/21)\/((-26)\/(-65))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w + 0*w)*(0*w**2 + w**2 + 0*w**2) + (1 + 0 + 0 + 0 - 1 + 3 + (2 - 2 - 2)*(-1 + 0 + 0) + 1 + 1 - 1)*(0*w - 4*w - w)*(w**2 + 2*w**2 - w**2).\nAnswer: -57*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43593086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*d = -24 + 1, 0 = -d + 1. Suppose -2 = -v - 1. Suppose 0 = 2*u + v - 5. Solve r = n - u*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 11\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401 + 343.9. Let m = 1.0662625 - -56.0326935. Let b = z + m. Round b to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21082612 divided by 5\nAnswer: -21082612\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((39\/182)\/((-1)\/2))\/3*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 1 = w. Let t be (-2 + -6)\/(2*w). Suppose u + 4*g = 23, 3*g = -3*u - u + 27. Are t and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872557 is divided by 1922.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let i(j) = -j**m + 2*j**2 - 5 - j**3 + 3*j - 2*j. Suppose x = 2*y - 3 - 1, y - 2 = 2*x. Give i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1.1. Let s = -1.241 + 0.061. Let f = s - -1.08. What is the nearest to f in 1, 1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5016 = 4*z + 4*u, 0*z - z = -6*u - 1226. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Let m be q\/(-9) + -4 + 3. Which is greater: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {o: 1, e: 1, j: 4, v: 7, p: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19163 = 387*a - 613*a - 10722 + 6381 for a.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:39 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.138 - 0.138. Which is the nearest to d? (a) -3 (b) 1\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -69*n**3 + 9*n + 13. Let l(h) = -17*h**3 + 2*h + 3. Let r(w) = 9*l(w) - 2*x(w). Differentiate r(t) with respect to t.\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 6*w. What is the nearest to 2\/9 in -1\/2, -2\/13, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8721.361km to centimeters.\nAnswer: 872136100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 19. Let i be m(14). Is 9 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3439*s + 113485. Give l(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.76 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21531, 21540, 21551, 21564, 21579?\n\"Answer: x**2 + 6*x + 21524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-1)\/(1\/(-2)). Suppose o*x - 15 = -6. Suppose -k + 6 = -x. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -225*q**2 - 8*q - 12. Let a be t(-14). Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 0.89\nAnswer: -0.0534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11505906*q**2 - 8*q + 8*q.\nAnswer: 11505906*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2164 divide 567368340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 5 - (0 + 0). Suppose -1 + 3 = r. Calculate the remainder when (3 - r)\/(l\/19) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcnn when four letters picked without replacement from nnmfnmcnff.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21013779 take away 11928?\nAnswer: -21025707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = 11. Solve q*w = -4 - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018635536 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -63*o + 811. Is 16 a factor of l(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjhhhhl. Give prob of picking 1 j, 2 h, and 1 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1128 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 18*n - 15. Let x(p) = -6*p**2 - 36*p - 30. Let z(i) = -13*h(i) + 6*x(i). Factor z(y).\nAnswer: 3*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*q**3*z**3 + 6*q**3 + 293*z**3 with respect to q.\nAnswer: -96*q**2*z**3 + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8957*r**3 + 20199*r**2 + 13527*r + 2285.\nAnswer: (r + 1)**2*(8957*r + 2285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2219)\/21)\/(6\/(-90))?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22106, -45032, -67958, -90884, -113810?\nAnswer: -136736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let t(p) = p**3 - 5*p**2 + 5*p - 23. Let n be t(5). Sort 0, n, d, 5.\nAnswer: 0, n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + v - 5)*((-1 + 1 + v)*(2*v - v - 2*v) - 4*v - v**2 + 4*v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/(13\/(-26)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 44. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 11) in base 9?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 23 = m - z, -4*z - 22 = -2*m. Suppose -m*a - 280 = -5*g, -8*g = -3*g + a - 280. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61093 is divided by 1358.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 15, 5*z + 2*u - 30 = 3*u. Let a = 136 + -109. Suppose a = 3*m + 21. Solve z*v - m = -2*f, -3*f + 5 = -v + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 * -2018\nAnswer: -123.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1831.5 + 1828.5. What is the smallest value in v, -1, -428, 0.4?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -560*y + 2*y**4 - 73*y**3 - 78*y**3 - 67*y**3 - 53*y**3 + 229*y**3 - 372*y**2 = 0.\nAnswer: -5, -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (4 - (-68248)\/(-44))) + (-10)\/110. What is the highest common divisor of 884 and l?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 436\/355 - 2\/71. Suppose -5*x + 3*x - 4*m = 0, x - 2*m = 0. Is x bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -82, 3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 35016?\nAnswer: -35020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 7. Suppose 4*j - 2*c = -8, 2*c - v = j - 5*j. Is (j - -3)\/(24\/38888) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/20 + 7*m**4\/12 - m**3\/6 + 3*m**2 + 5*m. Let o be d(7). Is 14 a factor of 0\/o + 40 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 16*s**2 + 239*s - 1231. Determine t(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r + 2. Let d be p(5). Let n be -2 + (0\/d - -4). Suppose -n*y - 1 + 17 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 1 + 5. Solve -2*g = 4*y + 24, 5*g - b*y = -0*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u + 72 = -565 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s - 3 = j, -5*s = -4*j. Sort -4, 6, s in ascending order.\nAnswer: -4, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 2432263?\nAnswer: -2432264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -2) + (-59 - -63)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29112*n**3 - 3*n**2 - 1048032*n + 108 = 0.\nAnswer: -6, 1\/9704, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) - ((-9)\/(-14) + 0). Which is the third smallest value? (a) 1\/3 (b) 0.5 (c) s (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by -6.\nAnswer: -113\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 45\/6)\/((-9)\/(-18)). Solve d*r + 148 = 34 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 6*f + 6. Let k be g(-4). Let v be (4\/(-24))\/(k\/10982). Let h = v + -904. Find the common denominator of h and -55\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15254 = -5*x, 3*x = -4*c + 6*x + 30534. List the prime factors of c.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = j + 3 - 4, 3*s + 5*j = 31. Suppose -s + 14 = 4*w. Suppose 20 = -r + 2*r - p, 2*r - 50 = -w*p. Calculate the least common multiple of r and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2091 by -697.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*d + d - 7, -4 = d - u. Let p = 5144 + -5664.1. Let b = p + 520. What is the closest to 0.1 in -0.5, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjjjjppppjjp. Give prob of picking 3 p.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691396635?\nAnswer: 3, 5, 46093109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/20 - r**3\/3 + r**2\/2 + 14*r. Let d be q(0). Let g(w) = -w - 7. Let m be g(-8). Is d less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*(-140)\/2. Let i = 50 - h. Suppose 30 = -22*l + 25*l. What is the greatest common divisor of i and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b998a (base 15) to base 13.\nAnswer: -58a73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*q**2 + 3 - 23*q**6 + 5*q**5 - 26*q**2 - 6*q**5 wrt q.\nAnswer: -2760*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160380671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(49\/14 - 3)*(-25)\/10. Let i(n) = -273*n**3 + 84*n**2 - 84*n - 84. Let l(a) = -16*a**3 + 5*a**2 - 5*a - 5. Determine m*i(j) - 84*l(j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 160?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-637)\/117 + (-8)\/(-18) + -4 + (-1670)\/(-186).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(13) - sqrt(65)\/sqrt(5)) + 4)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38887804 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 9*g - 135. Let x be 3 - (-451 - -3) - -14. What is the greatest common factor of x and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r)**(-42)\/(r\/(r*r**1))**(10\/11) assuming r is positive.\nAnswer: r**(-673\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6)\/a*(a\/(a**(-1\/5)*a))\/a)**(2\/17)\/((a**2*a*a**(2\/11))\/((a**(-2)*a)\/a**(-2\/7))) assuming a is positive.\nAnswer: a**(-1808\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*n + 13, -3*n - 3 = -4*n. Suppose -2*q - 1 + f = 0. Suppose 0 = -q*c + 83 + 64. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10517?\nAnswer: 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Suppose 6*h - 74*h = -408. Let t(s) = -10*s + 1. Calculate h*c(j) + t(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:54 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-40))\/((-8)\/(-2440)). Let b = i + 343. Calculate the highest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 s when four letters picked without replacement from {s: 4, b: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7620, 7758, 7996, 8334?\nAnswer: 8772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, y: 1, s: 1, d: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + -4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let m be u(2). Suppose -q = g - 84, -m*g + 0*q + 172 = 3*q. Suppose -6*s + g = -s. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25582873?\nAnswer: 19, 37, 151, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8350 and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3007153427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1605 (base 8) to base 11.\nAnswer: -74a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -31014246.\nAnswer: 1\/10338082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4624409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17306\/2 + (-5 - -4). Suppose 4*w + b = 10*w. Suppose -w = -22*n + 8*n. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c**3 + 82*c + 53087*c**2 - 53087*c**2 + 238*c - 4*c**4 wrt c.\nAnswer: -48*c**2 + 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by (2\/5)\/((-6)\/(-555))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5495 and 49?\nAnswer: 38465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6749 - -6761. Solve x = -4*q, -19*h + 24*h - 34 = 3*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2199026.01717503 + -0.03\nAnswer: 2199025.98717503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 1. Let g(b) = -b**3 + 3*b**2 + 4*b + 5. Let j = -94 - -98. Determine j*w(l) + g(l).\nAnswer: -l**3 + 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*p - 2642. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 834279*l**2*s - 896*l*s - 5*s + 14 wrt l.\nAnswer: 1668558*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**5 + 2*g**3 + g**2 - 2*g + 2. Let z(l) = -l**5 + l**3 + l**2 - l + 1. Let u(y) = -i(y) + 2*z(y). Find the third derivative of u(b) wrt b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 6\/9119833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/8)\/((-63)\/14).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/70)\/(2\/(-20)). Suppose -3*s = -0*s - 5*v - 79, -3*v = -w*s + 120. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o + 55*o + 245 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpy when four letters picked without replacement from lplpdldyyppllpyplxl.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(132)\/(3*sqrt(11)) + sqrt(12) - sqrt(12)) + (1*sqrt(180) - -5*(sqrt(15)\/sqrt(3))**2).\nAnswer: 9*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 205*c**2 - 3. Let k(y) = -56784*y**2 + 832. What is -832*f(w) - 3*k(w)?\nAnswer: -208*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-52)\/(-8))*1\/7\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 13*a + 32. Let s be w(10). Solve 4*j - 5*j = -p - s, 4*p - 10 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 8. Let l(v) = -2*v + 3. Let t(k) = 8*l(k) + 3*w(k). Let r(o) be the first derivative of 16*o**3 + 8251. Give r(t(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 4. Let h be (-2)\/7 + 68\/(-7). List the prime factors of (4\/z)\/(h\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*o**6 - 4*o**5 - 120*o**2 wrt o?\nAnswer: 3720*o**3 - 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 20*o**4 - 3*o**2 - 11 + 7 + 2*o**2 + 3 to f*o**2 + r + c*o**4 + a*o + q*o**3 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2303 - -2302.9. What is the nearest to 0 in 4\/7, -3, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:35 PM?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n = -407*n - 561*n + 20261 + 519 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 9\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 2*p**2 - 123651 + p**2 + 123660 + 0*p**2.\nAnswer: -4*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Let g(y) be the first derivative of -3*y**2\/2 + 5*y - 15597. Give g(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.27571534 to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1792*p + 73478. Give d(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(605) - (5 + sqrt(605) + 1))**2.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 207. Let m be d(-31). Is m equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -15*y**3 - 12*y**2 + 194*y - 589. Determine q(3).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 2.07 (c) 0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3045 * 0.9.\nAnswer: 0.27405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(500) + -1 + 3)*5 + 0.\nAnswer: 30 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Let v be (52\/(-3))\/(-4) - (-13)\/(-39). Suppose 4*s + 0*y - 4*y = -v, 2*y = -5*s + 23. Sort 1, s, w in decreasing order.\nAnswer: s, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3757*g**2 - 2184*g**2 + 1598*g**2.\nAnswer: -4343*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.762 + 5.362. What is the nearest to -56 in o, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 41. Let d(p) = 1. Calculate d(u) + o(u).\nAnswer: -u + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 10*w - 12. Suppose 0 = -i + 5*r + 10 + 30, r - 40 = -w*i. Let p = -17 + i. Is -1 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + k + 0*k + (6 + 32 - 10)*(-3*k + 3*k + 2*k) in the form y + n*k and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**31\/(q**(2\/5))**(-4))**38 assuming q is positive.\nAnswer: q**(3553\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - ((18 - 25) + 43).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*i**3*p**2 - 4*a*i**3*p + 35*a*i**2*p*v + 2*a*i*v - 2*a*p**2*v + 36*i**3*p*v - 2*i**2*p**2 + 21*i*p**2*v wrt i.\nAnswer: -12*a*p**2 - 24*a*p + 216*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/28 - (-24)\/7. Solve a*x = 2*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q - 484. Let l be c(-43). Sort -3, l, 27 in decreasing order.\nAnswer: 27, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1956645 (base 14) to base 12.\nAnswer: -4267b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 5 (b) 36 (c) -0.07 (d) 0.3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l + 2093 = -3*g, 0 = -4*g - 3*l - 2779. Let f = -144 - g. Let m = f - -222. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*2*sqrt(1700)*4 - (6*(((sqrt(1700) + sqrt(1700)*-2)*-6 + sqrt(1700) - sqrt(1700) - sqrt(1700)) + (sqrt(1700)*-2*1 - sqrt(1700)) + sqrt(1700)))**2.\nAnswer: -550800 - 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 56 = 0, -5*m - 205*o + 201*o + 41 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**2 - 2173 + 1127 + 4*j + 1050 - 2*j**4 to the form a*j**4 + l*j**3 + d*j + o*j**2 + b and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-3\/5))\/j)**(-6\/31))**32*(j**(4\/9)\/j*j**(-5\/4))\/((j**(-1\/5)\/j)\/(j\/j**9)) assuming j is positive.\nAnswer: j**(-27283\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 11\/59 (b) -29 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 3*v + 1. Let n(u) = -9*u**2 - 1 + 4 + 4*u**2 - 7*u + 3*u**2. Let t = 8 - 6. Give t*n(o) - 5*j(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 443 - 119 = 0. What is the greatest common divisor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 7*o**2 + 4*o - 5. Give m(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.4 and -64.\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 2*d**3 + 0*d)*(-2*d + 6*d - 2*d) + 31553*d**4 + 32000*d**4 - 62720*d**4 in the form o*d**3 + b*d**4 + u*d + t*d**2 + y and give b.\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 1. Let x be o(-8). Suppose -a + x = 5. Suppose 0 = 5*i + 5*f - 315, a*f - 19 = -i + 39. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/40 - (2 + -2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:50 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by 6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - -0.44. Which is the closest to w? (a) -0.07 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 + -31110?\nAnswer: -31191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 526087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(13\/2))\/((h\/h**(3\/8))\/h))\/(h**23\/h*h**(-18\/5)) assuming h is positive.\nAnswer: h**(-381\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/7, -5, -33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-49196)\/86093)\/(((-10)\/4)\/((-14)\/(-12))). Factor -o*r**3 + 2\/15 - 2\/15*r**5 + 2\/5*r + 4\/15*r**2 - 2\/5*r**4.\nAnswer: -2*(r - 1)*(r + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411954*i + 411952*i - 823941*i.\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 355790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -0.5 (c) 7 (d) -2\/3 (e) 62 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, s: 16}. What is prob of sequence sms?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8265*u**6 - 8679*u**2?\nAnswer: 991800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -53. Suppose 48 + 20 = j*d. What is the second derivative of -37*h**4 + d*h**4 - 4*h + 15*h**4 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*a - 3483 - 6068 + 1969 = 2987 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7957.\nAnswer: 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 + 4. Let u = h - -0.3. Let o = u - 0.3. Which is the closest to -1\/4? (a) 3 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Let o be 28\/21*(z + 1). Solve 4*d - o*a + 13 = 37, -5*a = 3*d + 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 223659*r\/5 + 894652\/5.\nAnswer: -(r - 223663)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10 + 5*y + 5 - 4 - 2. Let g(k) = k - 2. Let q(l) = 11*g(l) - 2*t(l). Let c(h) = 221*h**2. Give c(q(i)).\nAnswer: 221*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-750)\/20*1\/(-10))\/(9\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5294082 - 5294082 - 3499*o**3 + 3501*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j - 115*j**2 + 15*j.\nAnswer: -115*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 302.\nAnswer: -12\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548 + 522. Which is smaller: 1.3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-21))\/((-40)\/(-70)))\/((-36)\/240)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6437, -25742, -57903, -102908, -160745?\nAnswer: -231402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g - 21. Let t(u) = 4*u - 11. Let c(i) = 3*j(i) - 5*t(i). Let k be ((-3)\/(-15))\/(99\/4455). Give c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 = -21*d + 5*d - 61 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6816 is divided by 151?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2517713\/60 - -41965. What is the common denominator of j and 6\/4*23\/1449?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*l - 81 + 322, -4*l + 3*b + 231 = 0. Let n be (2\/(-4))\/((-1)\/l). What is the remainder when 59 is divided by 37\/3 - 9\/n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219 + -215. Suppose -4*t = -x + 316, -t - v*x - 256 = 2*t. Are t and -83 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 69*r = -29*r - 17787. Is 77 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -6.\nAnswer: -6.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947419711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164701612 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 4*d**2 + 0*d**2)*(26*d**3 + 301*d**2 - 301*d**2) + (-2*d + 3*d + d)*(2*d**4 - d + d).\nAnswer: 56*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123656 plus -1.1?\nAnswer: 123654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295094 is divided by 294173?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119125, -238247, -357369, -476491?\n\"Answer: -119122*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-20) - (-2)\/((-8)\/(-43)). Suppose 0 = -a + r*i - 16*i + 1598990, 4*a - 6396006 = 3*i. Round a to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 15}. What is prob of picking 1 a and 1 v?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3178*h - 447. What is s(-1)?\nAnswer: 2731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 534*i - 546*i + 7860. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 6*r + 8. Let c be t(-9). Let k = -100 + c. Let l = -94 + k. Solve -a = -l + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 2*l + 7. Let i be u(-5). Calculate the greatest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 7*a + 4. Let s be o(7). Solve s*j + 2 = -2*p, 6*p = 4*p - 3*j + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*j - 726 = -754 - 3941 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*1*(-4)\/8)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -516 or -532?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6, 0.5, 2.9 in descending order.\nAnswer: 6, 2.9, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/8 + 15*n\/2 - 59\/8 = 0. Calculate n.\nAnswer: 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 9, 44, 0 in increasing order.\nAnswer: 0, 9, 44, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88636\/21 - -4224. What is the common denominator of -139\/30 and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2\/2 + -2)) + 370\/(-37)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 2*i - 2*i + (-2*i + i + 3*i)*(-i + 0 + 0) - 10*i + 266*i**2 - 268*i**2 - 3*i in the form y + v*i**2 + d*i and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7369*z + 1506*z + 3844*z as w*z + c and give w.\nAnswer: -2019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 73.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3 - 5. Let f(t) be the first derivative of 0*t + 7*t**3 + 15\/4*t**v + 3*t**2 + 1. What is x in f(x) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 31*h - 60 = 0. Suppose o - 5*r = 5*o - 2967, 0 = 4*o + h*r - 2977. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/((-6)\/1857))\/((-14)\/28). Let j = b - -1818. Is j a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6751836\/(-32976)*(-16)\/42?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**9\/6048 + t**8\/3360 - t**7\/1680 - t**6\/720 + 113*t**3\/3 + 55. Let v(x) be the third derivative of g(x). Factor v(r).\nAnswer: r**2*(r - 1)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411*v**2 - 26*v + 136*v**2 - 1549*v**2 + 26*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/10 and -3 - (-338)\/24 - -1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*a - 13, 9*a = 13*a + 4*y - 36 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -3. Suppose 0 = -3*k - 2 + f. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/8, 25.5, 0.6 in increasing order.\nAnswer: -1\/8, 0.1, 0.6, 25.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 12 - 24)*(3 - 3 + l) + (-6 + 4 + 0)*(14*l + 40*l - 6*l) in the form f*l + w and give f.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159743*c + 1217644 with respect to c.\nAnswer: 159743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403.21 + -74.21. Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/84 and -83\/41412.\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = j - 0, 3*j = -3*l - 6. Suppose -3*m + 4 = -2*o - l, o + 3*m - 11 = 0. What is the remainder when 15 is divided by -3 + o - -4 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 121157800 to the nearest 100000.\nAnswer: 121200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 693 divided by -9\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494313737?\nAnswer: 683, 723739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 24 - 33. Is 4\/25 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = 75*d - 20*d. Let j(y) be the second derivative of -2*y**3\/3 + 104*y**2 - y. List the prime factors of j(d).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3215 divide 39574911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2. Let w(j) = -89*j + 126*j - 38*j. Calculate i(w(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.757427 rounded to 4 decimal places?\nAnswer: 0.7574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = z + w, -2*z - w + 61 + 86 = 0. Let h = z - 71. Let l be 2 - (-4 + h - -7). Let m(v) = 4*v + 1. Let g(d) = -d - 1. What is l*g(i) - m(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + -8 - -2247 - (-2 + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89375.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -1 (b) -2\/3 (c) -399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 25 - 11 - 6\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 131264700 to the nearest 100000.\nAnswer: 131300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2107764 - 0.2792162. Let a = -0.26 + 0.75. Let v = a + x. What is v rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146)\/304 + 10\/95.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5943, -21073, -46285, -81573, -126931, -182353, -247833?\nAnswer: -323365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*a + 3*p, 3*a - 2*p = -5*p - 18. Let u = -30 + a. Is (54\/(-45))\/(2\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/(-17)*9\/(-108)*4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -4, -7\/6 in decreasing order.\nAnswer: -7\/6, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/3)*a**(-3))\/(a*a\/a**(-2\/7)*a\/(a**(-4\/3)*a)) assuming a is positive.\nAnswer: a**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1220, 1221, 1222, 1223, 1224?\n\"Answer: z + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (166\/(-48))\/((-3248)\/(-77952))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/(-1134) - (-92)\/(-154)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - (-114)\/8)\/(1\/12). What is the greatest common factor of y and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/12 + 5\/4. What is the nearest to -0.1 in p, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o + 8. Let m be n(5). Suppose -7*j + m - 16 = 0. Suppose -3*y = -2*r + 103 + j, 2*r - 5*y = 113. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + (-128)\/14)*14\/(-4). Solve -8 = a*n - 3*u, 6 = n + n + u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:18 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b**3 - b**2 + b + 3. Let m(g) = 17*g**3 + 2*g**2 - g - 4. Let a(h) = 2*m(h) + 3*w(h). Let f(x) = -7*x**3 - 2*x**2 + x - 4. Give 4*a(o) + f(o).\nAnswer: -3*o**3 + 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 3, u: 4, m: 5}. What is prob of picking 1 u and 2 m?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/644 and -33\/56?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, 4.\nAnswer: -19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3918180, -7836361, -11754542, -15672723?\nAnswer: -19590904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-78)\/(-18)))\/(45\/12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/o**(-1\/2)))**6*(o\/o**(-5)*o*o)\/o*(o*o**(-4))\/o)\/(o**(-2)*o*o*o**6*o*o)**(-44) assuming o is positive.\nAnswer: o**346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 + 4*j - 1. What is o(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116669\/11 - -10606. Which is the nearest to -2\/3? (a) v (b) -2\/15 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -2020?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2165, -3, -17 in increasing order.\nAnswer: -17, -3, 2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/6075 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) - (4*sqrt(1872) - sqrt(1872))))))**2 + (sqrt(52)\/sqrt(400))**2.\nAnswer: 187213\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 767228 by -4982.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-3)\/(-18)). Suppose u*o - 12 = -0*o. Suppose 6\/7*j**o + 2\/7*j**2 + 2\/7*j**4 - 6\/7*j - 4\/7 = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*i = 200, -3*i - 63 - 411 = -5*b. Let z = 230 - b. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 64904) + 0 + 2. What is u rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(6\/(-10) + 0). Let w(q) = 2*q - 12. Let k be w(o). Solve k = -u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.176, -19, -2\/11, -4 in decreasing order.\nAnswer: 0.176, -2\/11, -0.3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45791731 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5561205 (base 9) to base 2.\nAnswer: -1011011010101001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1)*p*p)\/p**(1\/2)*p**(1\/6)\/((p**(1\/7)*p*p)\/p)*(p**(2\/7))**(2\/53)\/(p**(6\/7)*(p*p\/(p\/p**0*p))\/p) assuming p is positive.\nAnswer: p**(754\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7 + 156 = -10*l, 3*c - 2*l = 41 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/24 + 13*c**3\/6 - c**2 + 26*c. Let d = -36 + 26. Calculate y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 39*f - 5. What is the hundreds digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19856)\/584*1*1*(-3)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9834 = 2*c - 2*f, 17049 = 4*c + 2*f - 2607. List the prime factors of c.\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*6*sqrt(567)*2)**2 - (sqrt(567)*2 + sqrt(567) + 0 + (-4*(sqrt(567) - (sqrt(567) + -2*sqrt(567))))**2)).\nAnswer: -3810240 + 81*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 327.055 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268226405 by 53645281.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j + 3*j = -329 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:20 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 5:00 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(240)*1)\/sqrt(10))\/sqrt(12)*-4 + 3 + -3*sqrt(72)) + -3.\nAnswer: -12 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 33934*r. Let p(d) = 535*d. What is p(w(u))?\nAnswer: 18154690*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*l + 874*l + 191*l)*(5*l**2 - 5*l**2 + l**2).\nAnswer: 994*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17136*r*u**4 + 25259*r + 871*u**4 + 376 wrt u.\nAnswer: -68544*r*u**3 + 3484*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + -1 + sqrt(833) + sqrt(833) - (4 + ((-1*sqrt(833))**2 - sqrt(833)) - sqrt(833))) + (sqrt(833) + -1)**2*2 + 0.\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**3*z**4 - 2*q**3*z + 9*q**2*z**4 + q*z - 91 wrt z?\nAnswer: -48*q**3*z**2 + 108*q**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -337*(0 + (-35)\/7). Suppose -i = 38*p - 31971. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.5 - 20. Let x = -3.2 + o. What is the second smallest value in x, 4, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + f + 8*f**2 + (2*f + 0*f - 4*f)*(-2 + 2 - f) as o*f + m + g*f**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/14 and 62\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/9)\/(2\/(-6)))\/(3870\/34830).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/1020 - i**5\/510 - i**4\/102 - 5*i**2 - 8*i. Let b(h) be the first derivative of v(h). Suppose b(l) = 0. Calculate l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**4 + 0*p**4 - p**4)*(2 + 1 - 1) - 19*p + 4*p**4 + 19*p in the form r*p**4 + b + i*p**2 + q*p**3 + h*p and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2808 = -4*n, 5*n - 1203 = 5*c + 2357. Solve -n*t = -711*t - 21 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.505 minutes to nanoseconds.\nAnswer: 2970300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 6068*i + 1642000.\nAnswer: -2*(i - 3284)*(i + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-2242)\/(-114))\/59)\/((8\/(-36))\/((-1288)\/(-21)))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0248 take away -29276817?\nAnswer: 29276816.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-16)\/(-276).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 3 - (-54802)\/(-5))*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10441 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/(-20))\/(-6)*(-3)\/136*34000\/5100?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35523 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7002017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pglrpcl. Give prob of sequence glr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -5, 959, 0.1 in decreasing order.\nAnswer: 959, 0.1, 0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 - 12\/8. Let m = j + 4. Suppose -m = -2*o + 3*k + 11, -2*k - 6 = 0. Solve o*y - p = -11, 0 = -y - 2*y + 2*p - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d**2 - 4 + 4 - 348*d**2.\nAnswer: -303*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62108652 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201 - 411\/2. Which is the closest to 0? (a) -0.2 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 13*m**2 + 42*m - 1. Determine c(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, 1 u, and 1 h when four letters picked without replacement from fuhugujuu.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 82. Let r(i) = 9*i - 166. Calculate 2*r(m) + 5*u(m).\nAnswer: -2*m + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/4 and -41\/546.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/209 (c) 2\/3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 239\/2 + 3 + (-2223)\/(-494). Solve 0 = -17*b - d - 9 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 229 + 83. Suppose 1305 = v*a - 8575. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifvef. Give prob of picking 1 i and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/2 of a decade?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 2*s**2 + 4*s**2 + 0*s**2. Let p(q) = -6*q**2. Give p(l(a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let d(r) = 64*r**2 + 3*r. Let g(o) = -592*o**2 + 319*o + 7104*o**2 + 274*o**2. Let u(a) = -638*d(a) + 6*g(a). What is u(p(b))?\nAnswer: -116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 73*o**2\/5 + 367*o\/5 + 444\/5.\nAnswer: (o + 3)*(73*o + 148)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0*r**2 + 0*r**3 + 0*r**5 + 1\/30*r**6 + 4*r + 0 + 5\/12*r**4. Find the third derivative of o(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 95\/(-40))*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*b - 79*b - 57 = 2*t, 0 = -5*b - t + 219. Solve 30*h + b = 15*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvmvvvmvmvvvv. Give prob of picking 3 m and 1 v.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + -129. Suppose 2*h - j - 17 = 0, 4*h - 49 + 0 = 5*j. Suppose -2*k - 8 = -h*k. What is the least common multiple of b and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, t: 2, o: 2, p: 2, x: 9}. Give prob of picking 1 t and 1 g.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3501 = -3*s, -6*s - 5*x - 3533 = -3*s. Let y = -85 - s. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9706063*a. Let z(p) = 2*p. Calculate z(y(u)).\nAnswer: -19412126*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 29\/2, -1\/5, 1\/8 in ascending order.\nAnswer: -1\/5, 1\/8, 29\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/15 - -2\/15. Which is the closest to 6? (a) 2 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) - (sqrt(81) + 1*sqrt(81)))*-5)\/(sqrt(6)\/sqrt(8)) - (sqrt(2178)*2 - sqrt(2178))\/(sqrt(54)\/(sqrt(36)\/sqrt(4)) - sqrt(6) - sqrt(6)))**2.\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -518*d + 2*d**2 + 518*d + 32 to m*d**2 + p*d + b and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -116700336.\nAnswer: 116700341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 132 = 4*x, -2*d = -3*d. Let m = 74 + -107. Let c = m + x. Solve 5*z + 1 - 6 = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8*u = 0. Suppose u*g - g = -5*z + 161, -3*z = -2*g - 98. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*d = -295*d + 8, -4*d - 20 = -4*t. Solve -25\/3*j**t - 5\/3*j**4 + 0 + 0*j + 0*j**2 = 0 for j.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-24))\/((-4)\/24). Let z = -65\/76 + k. Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.48 - 0.58. Let w = -0.4 + 0. Which is the closest to o? (a) w (b) 2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-10) - (-9)\/3)*-32. Suppose 6*q - y = 2*q. Let m(b) = 10*b**2 + b - 1. Let i be m(1). Solve -c - q*c - i = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*p + 34*p + 580. Let x(j) = -4*j - 6. What is x(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1161430.8 months to decades.\nAnswer: 9678.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10367622167443069028 + -10367622231713251166.99999643. Let y = k - -64270181817. Let z = 322 + y. Round z to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, -1.1, 2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from rfmeiffifmermlr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/(18\/(-396)*-33)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-868)\/3668*(-1)\/(-4) and 97\/18.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (94 + (27 - 122))*89\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.603+-76443\nAnswer: -76445.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**4*x)\/(x**1*x*x*x))\/(((x**0\/x)\/x)\/(x**(-1\/5)\/x)))\/((x**0\/x)**(4\/11)*x**(-1\/4)*x*x\/x**(-5)) assuming x is positive.\nAnswer: x**(-1009\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, u: 5, w: 3, j: 1}. What is prob of picking 1 r and 1 u?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = -50*y + 305. Let k(u) = -103*u**2 - 100 + y + 39. Let n(x) = -2*x**2. Determine k(n(z)).\nAnswer: -412*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -671, -1338, -1997, -2648, -3291, -3926?\nAnswer: -4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34\/68)\/(1\/8). Suppose 4*y - 12 = y. Find the second derivative of -151*v**y + 151*v**r + 28*v - 2*v**5 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 350927416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*b - 135 + 135)*(-5*b**4 + 4*b**4 + 6*b**4).\nAnswer: -215*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Suppose -c*f + 144 = 5*b + 1, b = 3*f + 21. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 641 - 361. Suppose o - 8*o = -a. What is the highest common divisor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - s + s)*(2*s**2 - 3*s**2 + 2*s**2) + 215*s**4 + 299*s**4 - 237*s - 542*s**4 in the form r*s**3 + p*s**4 + w*s**2 + l + t*s and give t.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 55380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*v - v + 85, -g = 2*v - 16. What is the greatest common factor of g and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-3) + (3 - 1). Suppose 5*l - t*l + 1547 = 3*a, -2*a - 5*l = -1044. Suppose a + 7 = 4*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 40 = 8*t. Let x(s) = s**2 - 11*s + 14. What is the smallest common multiple of 16 and x(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 188 = -3*l + 16*f, 6*f - 14 - 4 = -3*l + 7*f + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 799 and 18.3.\nAnswer: 14621.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -350074, -350068, -350058, -350044, -350026?\n\"Answer: 2*w**2 - 350076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17970919 and 54263.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**2*o**3 - 612*h**2 + h*o**3 + 8*h*o wrt o.\nAnswer: 15*h**2*o**2 + 3*h*o**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -33747.657 to the nearest 10.\nAnswer: -33750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*t - 33. Let u be (-34)\/(-6) - 5\/t. Suppose -h + u = -14. Calculate the remainder when 38 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -227*p + 7. Let a(y) = 459*y - 15. What is -6*a(i) - 13*d(i)?\nAnswer: 197*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/2? (a) -6\/5 (b) 6\/83 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -50 - 650536\/(-12564)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109*k**2 - 985 wrt k?\nAnswer: 218*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-17 - 4) - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3280 + 3308. Calculate the greatest common factor of 98 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/6))\/(19\/((-17442)\/36)*-51)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Suppose -f + 6*f + h*b - 19 = 0, 0 = -2*f + 5*b + 1. Determine t, given that 2 + 3*t**4 - 3*t**4 - f - t**4 + 2*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 94 - -50826?\nAnswer: 508ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29703190 - 546810. Round a to the nearest one hundred thousand.\nAnswer: -30300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/185135384 and 29\/40.\nAnswer: 925676920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 5, 76, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -26, -27, 70, 2.\nAnswer: -27, -26, 2, 3, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 - 96)\/9)\/((-5)\/((-20)\/(-12))). What is the nearest to 1 in 1\/12, p, -4, -4\/7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 74\/(7\/(-21)*(-3)\/(-1)). Let f = -54 - c. Calculate the highest common divisor of f and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/92 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159004435 to the power of 1\/2, to the nearest integer?\nAnswer: 12610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18*j = -6*j + 23465. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 787 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Suppose -p + 14 = 4*f, c*p = 4*p + 2*f - 10. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-49 - -31) + 35 + -102\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1317)\/(-4) - (-22)\/(-88). Suppose 326*k + 6 = o*k. Solve -k*d - 5*n + 23 = 0, 9 = 2*d + 4*n - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 186588622*g**2 - 227578406 wrt g?\nAnswer: 373177244*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 153\/63 + (-3)\/7. Solve -5*q - 2 = 4*o + p, -q + 2 = -2*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11761 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -26561.7?\nAnswer: -26561.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 17*l**2 + 9*l**2.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2637874, 2637876, 2637878, 2637880, 2637882?\nAnswer: 2637884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 1 - 4*b**3 - 2 - 4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 3*q = 6*q. Suppose -4*v - 2*j + 20 = q, -3*v = -5*j - 5 + 3. Suppose v*a - 40 = -a. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*x = -77*x - 641 - 789 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*u - 8*u = -38, -2*g + u = 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719, 720, 717, 710, 699?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 15*r**2 - r - 22. Let x(p) = p**3 + 15*p**2 + 2*p + 22. Let j(d) = 4*f(d) + 3*x(d). Determine j(-15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -923 + -3*4\/6. Let x = 1295 + u. Suppose -3*a = -a - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:40 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.24196l to millilitres.\nAnswer: 28241.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.288 + -1.408. Let w = -1.32 - u. Which is the fourth smallest value? (a) 0.2 (b) 3\/7 (c) w (d) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000417233 rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 2*j + 44. Suppose -l + 3 = -q + l, 33 = 5*q + 2*l. Suppose -q*z = -7*z + 24. Calculate the smallest common multiple of z and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -309552119 and -309552119 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(228) - (sqrt(228) - 2*-3*sqrt(228)))\/(sqrt(12) - (sqrt(12) - (sqrt(108) - (sqrt(108) - -1*sqrt(108)) - sqrt(108))\/sqrt(9))).\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:12 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Let t = 46 - y. Suppose 0 = -2*r - 3*u + t, 0 = -2*r + 6*r + u - 104. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 > -1283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -313, -311, -309, -307?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d + 4*d + 11*d + 10*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*a + 62*a + 2.\nAnswer: 46*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -229.\nAnswer: -228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1618 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 51 = -10*q. What is the highest common divisor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -861.\nAnswer: -8\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 5. Let o = -0.1262 - -0.0482. Are o and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/8)\/(37\/(-38628)). What is the highest common divisor of 87 and u?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10206 and 303660.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 not equal to -3445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, o: 3, y: 10, x: 3}. What is prob of sequence yx?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/3 + 700*z - 4192\/3 = 0.\nAnswer: 2, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 747813660 or 747813659?\nAnswer: 747813660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 2*y**2 + 2*y**2 - 1. Suppose 4*g + 2*j - 4 = -j, -4*g - 5*j + 12 = 0. Calculate u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 34*f + 10. Let b(r) = 100*r + 30. Let o(u) = b(u) - 3*y(u). Let n(m) = -4*m - 1 + 1. Determine n(o(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 5*x. Let h(f) = -2*f**2 + 8*f - 11. Let k be h(3). Let n(r) = 4*r**2 + 6*r. Give k*n(l) - 6*z(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 6)*1\/(-5). Which is the closest to i? (a) 1\/3 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 458 = -422. Let j(q) = -q - 7. Determine j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -2)*-3 + 517. Suppose w + f = -3*w. Is w\/(-1) + (-4 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35 - -3.35. What is the closest to 0.3 in 2\/5, a, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-4))\/(3\/(-8)). Suppose 0 = -17*g + 27*g - 440. Suppose -13*x = -g*x. Solve -4*z - 5*s + 17 = x, 4*z + 3*s - d = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 - 51\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 47 = -n, 16*j + 39*n - 83*n = -43*n - 132 - 223 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose -45 = -a - d*a. What is the smallest common multiple of a and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 126. Let r = 74 - l. Suppose -3*t + 13 = -r. Solve -c - t = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 534*j*w**2 + 384*j - 12768743*w**2 wrt j?\nAnswer: 534*w**2 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 - u**2 + 2*u + 2. Let q be a(-1). Sort q, -2, 15, -1.\nAnswer: q, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwfwfnnonnzfn. Give prob of picking 1 i, 1 n, and 2 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*f - 11821 = -222*f - 82441 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 7554 - 29221 = 0. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 5:56 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**4 + 334*v**2 + 1056*v**3 + 469*v**2 - 465*v**3 + 1993*v**3 wrt v.\nAnswer: 48*v + 15504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38062, 38058, 38052, 38044, 38034?\n\"Answer: -u**2 - u + 38064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/(2058\/21)))\/(-2)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:39 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*u**2 + 29*u**2 - 24*u**2.\nAnswer: 105*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 + 6*u + 3. Let b be j(6). Let v = 253.9 - 254. Let q = 0.2 + -0.1. What is the nearest to v in q, 1\/6, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 232\/24 + (-154)\/33. Solve k*c = 10*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 24624 = 5*w - 35358, -36034 = -3*w - 5*q. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98015 and -1192?\nAnswer: 116833880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 4\/25 (c) -0.08 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785089 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + 3.4. Which is the nearest to -62? (a) 0.3 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2 - (-4 - -1)). Let h(b) = 7*b**3 - b. Let m be h(r). Is m\/12 + (-234)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*q + 2 - 12, 5*q - 4*a = 16. Let j(u) = u**2 - 3*u. Let g be j(q). Suppose 4*m - 640 = g*k - 5*k, 2*m - 318 = -k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9113 is divided by 4364?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 340\/(-51)*(-3 - 0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -7362.\nAnswer: 4\/3681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -16*j - 11. Let w(c) = -1. Let q(h) = h + 2. Let t(n) = 3*q(n) + 4*w(n). Let l be (-8)\/(-3)*3\/2. Suppose l*b = b + 12. Give b*d(z) + 22*t(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -0.014 (c) -1\/10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 3)*5\/(-30)*9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Let l = 8 - d. Find the third derivative of 51*b**l - 51*b**3 + 4*b**5 - 3*b**2 wrt b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-8)\/2) - 4. Let c be 8 + (-4 - h) - -4. Suppose 0 = 7*b - c*b + 255. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g - 2. Let u be t(-3). Suppose 2*m = 4*h - 173 + 67, h + m - u = 0. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -9 + 15 - 10) + -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*w**3 - 13*w**2 - 52*w**3 + 7*w**2 - 36*w**3 - 3 in the form v*w + q + c*w**3 + h*w**2 and give c.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b. Let w(i) = 2301*i - 115. Calculate w(n(g)).\nAnswer: 6903*g - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*s**4)*(3 - 3 + 3*s) - 61*s**5 - 18*s**5 - 172*s**5.\nAnswer: -257*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1436, 2860, 4280, 5696?\n\"Answer: -2*h**2 + 1430*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 200003012?\nAnswer: -200003003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-3 - -4) - 0. Suppose -5*u + 4*u + 3 = d. Suppose 2*p - 48 = -0*h - 3*h, 0 = 4*h + 5*p - 71. Solve -2*w = -u*b + 11, 4*b = -2*w + 4*w + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 15*v = 228. Let q = 152 + v. Calculate the greatest common divisor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1306070170 by 1418.\nAnswer: 921065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/4 (c) 4\/5 (d) -0.3 (e) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1\/5, 2\/7, 1, -126 in descending order.\nAnswer: 5\/2, 1, 2\/7, 1\/5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:21 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724679 is divided by 495?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t - 14. What is j(7)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**2 + 3*g**2 - 4*g**2 - 3*g**2. Let k(u) be the third derivative of u**5\/60 + 11*u**2. Give i(k(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 791.5?\nAnswer: 791.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/22)\/2*(-15310)\/(-3062).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95073135.\nAnswer: 3, 5, 6338209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u**(1\/6)\/u)\/u)))\/((u*(u*u**4)\/u)\/u))**33\/((u*u\/(u*u\/(u**0\/u*u)*u*u))**43*(u**0*u)\/u**4) assuming u is positive.\nAnswer: u**(-207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {f: 4, y: 2, r: 2, c: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/33, -1, -1\/9.\nAnswer: -1, -4\/33, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/135 and 109\/24.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(12*u + 1 - 2 + 0).\nAnswer: 12*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w - 15*w - 2674 + 2677 as g*w + v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -35*z**2 - 4*z - 69. Let x(r) = -r**3 + r**2 + 2*r - 1. Let o(m) = -p(m) - x(m). Let t be o(-34). What is the highest common factor of 7 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 215*q - 209*q = -76, 3*j + 3*q + 57 = 0 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25062 divided by -4.\nAnswer: -12531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 337784*c**2 + 675552*c = 0 for c.\nAnswer: -84444, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10312114200 - -4?\nAnswer: -10312114141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 176 (b) 2 (c) 2\/19 (d) -8 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 36 = -2*n. Let k be (-4)\/n - (-102)\/27. Suppose 0 = -0*z + z + 2, -5*z + 186 = k*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 486 and -14.9?\nAnswer: -7241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i**2 + 3*i - 1. Let r be b(3). What is the nearest to r in 5, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3 - -4 - 1). Suppose -29 = x - a*x. Let g = 1 - x. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > -106\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1432886*t = -1432779*t + 1070 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28699*r**2 - 18568*r**2 + 9657*r**2 - 12061*r**2.\nAnswer: -49671*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 8*f**2 + 9*f - 77. Determine g(5).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h = -53*h + 248. Which is smaller: h or -61?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1440\/360)\/(4\/(-25))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1952024007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 933793 and 748?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 45, 5 in decreasing order.\nAnswer: 45, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 6. Let v be g(-4). Suppose 11 = r + v. What is the greatest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 < 1906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.713 - 0.703. Let g = h + -0.584. What is the biggest value in g, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 6*c - 6. Let p be h(4). Let a = -39 + 45. Let b(o) = 2*o - o**3 + p*o**3 + 3 + 3*o + a*o**2 - 4. What is b(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 95.22?\nAnswer: -666.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by 616.\nAnswer: -325\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (14 + (-23 - -10))) + (10 - 76 - -2).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 10. Let w = -173 + 178. Calculate the remainder when 30 is divided by q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9039?\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9030595 divided by -1806119.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*v - 36, -3*v - 12 = -3*w + 3. Suppose -2*y + d = -17, -26 = 66*y - 68*y - 2*d. Calculate the greatest common factor of w and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwr when three letters picked without replacement from qyrywwwyddyydyd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583724919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16663 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -234446.79 rounded to the nearest 1000?\nAnswer: -234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 1 = 3*f, -5*f = -3*f - 2*p + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 250 - 95. Let g = i - 97. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208317.7518 less than -32?\nAnswer: -208349.7518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2557 + 327069 = -1372*z + 7126*z + 31058 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 - 159. List the prime factors of (-6 + c)\/((-1)\/50).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16120, -33073, -50024, -66973, -83920, -100865?\nAnswer: -117808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.5, -20.6 in decreasing order.\nAnswer: 0.5, -0.1, -20.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917045?\nAnswer: 5, 583409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/210*20\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -326895.203 to the nearest 10.\nAnswer: -326900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.514933 to three decimal places.\nAnswer: -1.515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g)**28\/(g**(4\/3)\/g*g**(1\/3)*g) assuming g is positive.\nAnswer: g**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 42. Let w be i(9). Let m be w\/(-8) + (2 - 21\/12). Solve -24 = -5*l + m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4987572694 to the nearest 100000.\nAnswer: -4987600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2394)\/(-6) - (1 - -2). Let x be (1*-2)\/((-9)\/z). Find the second derivative of 5*v**4 - x*v + 74*v + 10*v**4 wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -78, -144, -244, -390, -594, -868?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 870507 and 198?\nAnswer: 1741014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 33. Let w be c(14). Suppose w*p - 16*p = 30. What are the prime factors of (8\/p)\/((-30)\/(-5625))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3294993236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 9618 = 9388. Let s = 1282 - m. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-61807\nAnswer: 1236.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + v - 1005 = 15998, -2*r = -2*v - 6794. Let l be (-2)\/8 - (2 - 7666\/r). Let g = l + -868\/3825. What is the closest to 17 in g, -5\/6, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7 = 4*o + 19, -2*n = -5*o - 33 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccccclmmcdlm. Give prob of sequence dccm.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 372155\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + m - 46 = 6*m, -3*m = -i + 8. Let u(n) = n**3 + 7*n**2 + 2*n + 2. Determine u(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1808, -2 in increasing order.\nAnswer: -4, -2, 2, 1808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -50. Let q = x - -17. Let v = -0.11 + 5.11. Which is the nearest to q? (a) 1\/9 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106\/(-26)*4589\/(-1412)*(-4)\/(-7)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 2*s = -31, -4*v = 5*s + 124. Let y = -30 - v. Let h = 7 + -5. Solve h = -x + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3751 or 3348?\nAnswer: 3348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/189*(-1)\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66360345?\nAnswer: 3, 5, 41, 107903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -5*n. Suppose 3*p = 8 + n. Suppose 0*g + p*k - 25 = -g, -g - 2*k = -23. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 1 + 2)\/(-1). Suppose m = -u + 120 + 299. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:09 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17778024 is divided by 378255.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-22) - 2\/(-11). Let b be (357\/t)\/(3*(-1)\/(-6)). Let m = b - 35. Is m 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 56284289?\nAnswer: 19, 23, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9 = -0*s + 4*s, -3*j = 9. Let b(z) = -z**3 + 7*z**2 + 3*z - 7. Is b(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1424 - -1435. Let k(g) = -g**2 + 10*g + 3. What is k(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 17*b**2 + 17*b - 8. Let m be v(16). Let p be (-28)\/(m\/3*(-22)\/88). What is the highest common divisor of 24 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1757461*j**2*z - 8491974*j**2 with respect to z.\nAnswer: -1757461*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/5722515 and 71\/39330?\nAnswer: 11445030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (8 + -2 + 2 + 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.351 - 4.651. What is the smallest value in 2, 13.8, x, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in -11, 0, -14, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6*w**3 + 313934*p**6 - 2860*p**2 - 41*p*w**3 + 2*p*w wrt p.\nAnswer: 120*p**3*w**3 + 37672080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 0.2. Let u = -0.4 - -0.2. Let f = u + -0.3. Put n, -3\/7, f in descending order.\nAnswer: n, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 8*a + 13\/21*a**3 - 12\/7*a**2 + 2 - 1\/42*a**4. Factor p(y).\nAnswer: -2*(y - 12)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 463383?\nAnswer: 463384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) -0.046 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + v + 5 + 13 = 0, 0 = c - 3*v - 10. Suppose -d + 80 = c*d. Let o = d + -8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 2*u + 9*u**2 - 2*u - 18*u**2 to the form q*u**2 + o*u + j and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3490 = -2*v, -2*p = -v - 0*v + 1745. List the prime factors of v.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1360 and 60848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39457 is divided by 18946?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 958200*z + 3832814. Give l(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20708 or -20707?\nAnswer: -20708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 + -1927\/11. What is the closest to -0.4 in 5, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013207 rounded to 4 decimal places?\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/3, 21, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 6 = -6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*l*n**2*q - 12*h*n**2*q**2 - 4*h*q**2 - 105*l**2*n**2*q + 9*l**2*n*q**2 + l**2*n*q - n*q wrt q?\nAnswer: -24*h*n**2 - 8*h + 18*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058739798.\nAnswer: 2, 3, 2099, 84067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/5 - 3114\/(-10). Let o = 529 - v. Suppose j - y - 192 = 0, -4*y = -5*j + 1172 - o. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -46. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w. Suppose w = 5*s - 4 - 6. Let a be (0 + -2 + 2)\/s. Solve 5*o = 3*i + 7, -9 = -5*i - a*i - 2*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-362)\/(-6))\/(1 - 2). Let d = -61 - j. Suppose 20 = -0*i - 4*i. Sort d, -3, i in ascending order.\nAnswer: i, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75376? (a) -1 (b) -0.8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 10*m**2 - m + 1. Let o(b) = 283*b**3 + 34*b**2 + 2*b - 3. Give -o(j) - 3*v(j).\nAnswer: -286*j**3 - 4*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 7*m**6\/900 - m**5\/100 - m**3 - 2*m**2 + 95. Let a(i) be the third derivative of d(i). Factor a(s).\nAnswer: 2*s*(7*s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 - 6*o - 6. Let j(r) = 2*r**3 - 7*r - 6. Let v(k) = -2*j(k) + 3*z(k). Let i(f) = -f**3 - 2*f**2 - 3*f - 5. Determine 4*i(u) - 3*v(u).\nAnswer: -u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -151887300 to the nearest one hundred thousand.\nAnswer: -151900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10136\/224 + (-150)\/120.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3\/5, 106, 0.5, -19, 4 in decreasing order.\nAnswer: 106, 4, 3\/5, 0.5, -2\/7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 + 93*l**4 - 261*l**3 + 255*l**2 - 84*l.\nAnswer: -3*l*(l - 28)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1645 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/(sqrt(300) - sqrt(12)))\/sqrt(8).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y = -27. Suppose -6*b + 2 - 37 - 1 = 0. Put b, 0, y in decreasing order.\nAnswer: y, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 581 and 3549744.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 6. Let x(d) = -d + 6. Suppose -81*j = -14*j - 201. What is j*b(l) - 4*x(l)?\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11496 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 98\/28 + 207\/18. Let n(o) be the first derivative of 5*o**3 + 0*o - 11\/2*o**2 + u. What is the second derivative of n(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + sqrt(396))*6 - sqrt(396)).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1\/4, -2\/5, 1157, 106\/19 in increasing order.\nAnswer: -4\/3, -2\/5, 1\/4, 106\/19, 1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1296 = 4*a, 12*a - 1623 = -5*l + 8*a. Suppose -7*t = 103 - l. Solve 12*r - t + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -22 - (-956 + 952) - ((13 - 3) + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 52) + (0 + -1 - 2) + 4 - 20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsg when three letters picked without replacement from {g: 1, s: 5, n: 12}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 2. Let r be j(1). Suppose -3*c = -4*k + 37, 27 = -12*k + 10*k - 5*c. What is the nearest to -0.02 in r, k, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1)*-1 + 1674\/(-20). Let o = 177\/2 + j. Are o and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - -1*sqrt(720)) + -5)**2.\nAnswer: -240*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 + 1\/6*s**3 + 2*s + 26999\/12*s**4 + 0*s**2. Let c be x(1). Round c to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(176)*1 + sqrt(11) + (sqrt(11) + (sqrt(55)\/sqrt(5) - sqrt(11))*1 - sqrt(11))**2).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 8810 + 9118 = 0. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 95 = -67. Let l be f\/(-6)*(-2)\/(-6). What is the third derivative of 3*u**3 + 5*u**2 - l*u**3 + 3*u**3 - 5*u**3 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 145. Give x(-28).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-266))\/((-35)\/(-665)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17804001?\nAnswer: 3, 23, 163, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 5 + (-3 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 2. Let h be d(-3). Suppose -18 = h*p + 22. Find the common denominator of 55\/6 and ((-6)\/p)\/((-11)\/(-30)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686815?\nAnswer: 5, 13, 25951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r - 4*r)*(2 + 6 + 21)*(4 - 2 - 3)*(-3*r + r + 4*r).\nAnswer: 116*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 23765270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 50 + 825. Let n = 1299 + s. What is the remainder when n is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 81. What is t(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -27, -38, -47, -54?\n\"Answer: u**2 - 16*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*w + 10, -4*n - 3*w + 10 + 7 = 0. Solve -2*z + 6 = -n*c, -3*z = -c - 0*c - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**5\/120 + g**4\/24 - g**3\/3 + 2*g. Let o(a) be the second derivative of t(a). What is the first derivative of o(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303331 (base 4) in base 7?\nAnswer: -12460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 651544\/3397 or 192?\nAnswer: 651544\/3397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4264 = -3*g, -15*z = -11*z - 4*g - 17064. Let u = 1512 + z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 720 + -260. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4454, 35425, 119486, 283181, 553054?\nAnswer: 955649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*n + 3*n - 5*a, 16 = 4*n - 2*a. Suppose n*r + 0*r + c = 8, r = 3*c - 14. Sort r, -0.5, 4 in ascending order.\nAnswer: -0.5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + c = 96. Let f be (-81)\/(-6)*1*c. Let x = -101 - f. What is the greatest common divisor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*15081\nAnswer: -4524.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*u - 105*c**2 + 2*c*u - 3*u - 4106 wrt c?\nAnswer: -4*c*u - 210*c + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = -5*n, 2*k - 3 = -5*n - 2. Suppose 5 = -d + k. Is (-1)\/(d + 1) - -82 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j, 4*l - 11*j + 11420 - 11296 = 0 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/12 - 7*f**3\/6 + 15*f**2\/2 - 12*f + 45. Determine b(-12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*f = -6583678 - 5167586. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6442 is divided by 217?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 4:48 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a + (0 + 0 - 2)*(-5 - 2*a + 5) + 505*a - 3045 + 3045 + 4*a - 5*a + 0*a)*(5*a + 4 - 4*a + 0*a)*(4 - 4 + 2*a**2).\nAnswer: 1014*a**4 + 4056*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + 5 - (-124 - -125)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*d**3 - 288*d - 287*d + 190*d - 284*d - 178*d wrt d.\nAnswer: -1434*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334 + 718. Does 48 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4817, -17628, -38979, -68870, -107301, -154272?\n\"Answer: -4270*r**2 - r - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36477 is divided by 410?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = 31*n. Solve n*d = -k - 2*d - 8, 30 = 5*k - 4*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1284 or -1?\nAnswer: -1\/1284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24326671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5873.2 rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((85\/(-10))\/((-2)\/(-12)))\/((750\/(-20))\/(-25))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 17. Let u(f) = 4*f + 26. Calculate -7*b(a) - 5*u(a).\nAnswer: a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + ((-11)\/((-1)\/(-2) + 1) - -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11100301131 (base 4) to base 12\nAnswer: 566339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(396) - (0 + sqrt(396)*2)) + sqrt(396) - sqrt(396)) + sqrt(396))**2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + 5 - (-293 - -344).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 127132.\nAnswer: 381396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*c + 26, 2*c - 21 = -5*q + 3*c. Let r be (5\/(-15))\/(q\/(-105)). Let b = 37 - r. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12305*m + 4412*m - 2403*m in the form l + b*m and give b.\nAnswer: 14314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103782 and 5.\nAnswer: 518910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -21. Suppose 12*s + 34 = n*s. Suppose -93 = -2*w - 3*b, -42 = -2*w - b + 57. What is the highest common divisor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*o - 17, 38*o + g = 36*o - 0*g - 5*g + 38 - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:10 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33727 divided by -7?\nAnswer: -33727\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417478611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 18*s**2 - 21*s + 11. Let i = 1608 - 1589. Determine m(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4620034013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.107 - 0.107. Which is the second biggest value? (a) -0.3 (b) r (c) 3\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - 326*i + 38*i**2 + 27*i**2 + 46 + 341*i to u*i + o + l*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 5) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/20 and 95\/511918?\nAnswer: 5119180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 2, p: 1}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108, 408, 902, 1584, 2448, 3488, 4698, 6072?\n\"Answer: -k**3 + 103*k**2 - 2*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/18 + 14*q**3\/9 - 49*q**2\/3 - 29*q. Factor n(h).\nAnswer: -2*(h - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -13 (b) -5 (c) 0.4 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hssshssshhhss. Give prob of sequence hhsh.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = 2*y - 6*y, -5*y - 5 = -f. Suppose g - 4*g = 78. Let c be 2\/g*y\/2. Which is smaller: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-2 + 13 - (3 + 6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 15*x + 3. Let a be s(15). Suppose -3*u + 2*j = -81, 57 = -5*u + a*j + 193. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -320*r**5 + 3760*r**4 + 5635*r**3 - 5745*r**2 + 1170*r = 0?\nAnswer: -2, 0, 3\/8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/180245 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 48 = 31*t. Let b be (t*(-28)\/(-40))\/(3\/(-30)). Calculate the highest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146114685 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 16, d: 2}. What is prob of picking 1 g and 1 d?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-1)\/4*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246036571?\nAnswer: 11, 22366961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.3 + 9.1. Which is the third biggest value? (a) -17 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -193401, -193084, -192767?\n\"Answer: 317*z - 193718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12300.126 rounded to zero decimal places?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*g**2 - 1 - 50*g**2 - 9 + 11 - g + 99*g**2 in the form c + z*g**2 + t*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*i + 18841 = 0, 18*i - 14*i + 9382 = a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -1, -1\/8, 0 in decreasing order.\nAnswer: 0, -1\/8, -1, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 5*j - 220, 0 = -3*u - j + 190. Let q = -61 + u. Suppose -q*g + 175 = g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -36 + 7 - 20*c + 6*c + 7*c. Calculate the smallest common multiple of 7 and d(-6).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (14 - 22 - -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 318976.12 - -598482\nAnswer: 917458.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23739 is divided by 4741?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) -6206 (c) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10237763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1008))*-2 - sqrt(1008))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/10 - 3*f**5\/10 - 4*f. Determine x, given that m(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32541*k**4 + 10456*k?\nAnswer: 390492*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 357 - 146. Suppose -b + l = -0*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166512.\nAnswer: 2, 43, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27592 - -27664. Calculate the remainder when l is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 8:11 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2069 - 6199\/3. Find c, given that -4\/3*c**3 + k*c**2 + 1\/6*c**4 + 0 + 0*c = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10270665 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 2*g**5\/15 - g**4\/24 + g**3\/6 - 292*g**2 - 2. Give i(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58806480 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*135\/18. Put -5, -38, -4, b in descending order.\nAnswer: b, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1361 - 1361.00000601. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:44 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/12 + 7*x**3\/6 - 2*x**2 + x. What is s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-7)\/(14\/(-4)). Suppose 0 = -2*d + a + 114, -d + 2*a + 54 = -z*a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(51\/(-12) - -2). Let l = b + 14. Solve 2*w + 3*j + 2 + 6 = 0, 2*w - l*j = 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2150 = -52*k + 1386. Calculate the remainder when 3124 is divided by k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(21\/(-6) - -2). Suppose -5*r = -2*r - p. Suppose -61028229 + 18628229 = -r*h. What is h rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(12\/(-80)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82.732814 + -82.74. What is j rounded to 4 decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1556 + -1552. Which is the closest to 3? (a) -2 (b) -1.4 (c) v (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4531539 is divided by 2312?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12271\/(-10518))\/(2\/2*-7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 674600 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*j**2 - 638 + 638)*(-3*j**3 + 2*j**3 + 0*j**3) + (-74*j**4 - 41*j**4 - 36*j**4)*(6*j - 2*j - 3*j).\nAnswer: -194*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 2. Let y(z) = 3*z + 3. Let t(a) = 0*a - 2*a + 0*a - 1 + 12. Let m be t(9). Determine m*n(q) - 4*y(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10647 - 7397. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(-2*(-36)\/(-240))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 5. Let x(j) = j. Let l(i) = -g(i) - x(i). Let o(a) = -a - 2. Let b(k) = -2*l(k) - 5*o(k). Let z(f) = -3*f**2. What is b(z(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5069 = -2*r + 531. Let m be -10*24\/16*r\/(-1). Round m to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668094 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1254 and 9918.\nAnswer: 109098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 110*q - 324. Let l be m(-3). Which is the second smallest value? (a) 0 (b) l (c) -3 (d) 0.02 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 0*z + (6 + 0 - 5)*(0*z + 3*z - 5*z))*(4 - 4 + 1).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 - -174. Let x = w + -37. What is the third smallest value in x, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(68))**2 + 3) - sqrt(17) - (3 + (sqrt(68))**2)) + -1.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 - 2*l**2 - l - 3. Let z(c) = -11*c**3 + 4*c**2 + 2*c + 7. Let b = -15 - -8. What is b*o(x) - 3*z(x)?\nAnswer: -2*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 487133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146736)\/39741 + 8876\/2418.\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = 49*c - 47*c. List the prime factors of c.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75780391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 5\/244464002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 14*c + 8. Let l be n(11). Let t = 46 - l. Let o(s) = -10 - t + 15 + 2*s**2. Let w(q) = -9*q**2. What is o(w(f))?\nAnswer: 162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3612*i**3 - 2*i**2 - i. Let o be t(-1). Let m = o - 36013\/10. What is the common denominator of 585\/(-81) + 7 + 977\/(-180) and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 781\/3 - 3872\/15. Which is the closest to -1? (a) 0.3 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 36 - 12. Let m = 461 + -443. Calculate the lowest common multiple of m and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*b + 349 - 370 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110845 and -63.\nAnswer: -6983235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50907402 by -5656378.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016569?\nAnswer: 1016569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 + -214. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16640783 by -1.\nAnswer: 16640783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 239591611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*i - a = -11, -1 = i - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 2500\/3 (c) -0.1 (d) -33 (e) -3 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31.56 and -0.744784815?\nAnswer: 32.304784815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85428 and 1130.\nAnswer: 427140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 1182, 1757, 2312, 2841?\nAnswer: 3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*g + 6*g. Suppose 8 = 3*n + 4*p, -g*n - p + 9 = -3*n. Let k be 3 - (n + 3 - -4). Solve k = o - 4*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202022202 (base 3) in base 4?\nAnswer: -3213200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4728 - -4727.961. Round m to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 k, and 1 c when four letters picked without replacement from oqxhhhxhxhxck?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(208) - sqrt(208))*-5 - sqrt(208)) + -3 + (sqrt(208) - (4 + (1*sqrt(208) - sqrt(208) - sqrt(208))))*6)**2.\nAnswer: -4536*sqrt(13) + 92457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 484 - 450. Suppose 28*v = -t + 6. Which is bigger: v or -1\/262?\nAnswer: -1\/262","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 791\/9 (c) -4 (d) 1\/2 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/(-15))\/((-1)\/6). Let b = 14 + q. Suppose b = 2*g - 4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41039 + 79604. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1492886 and -6?\nAnswer: -8957316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123666921 to the power of 1\/2, to the nearest integer?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.296154516 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 5. Let x be l(-10). Let w be 2*(-3)\/(30\/x). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1088) + sqrt(1088) + 0.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/6 - (-4)\/8. Let t(h) = -h**3 - 8*h**2 - 11*h - 10. Let a = 25 - 15. What is the remainder when t(i) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l + 38. Let y be g(-3). Solve 11 = 4*f - 5*i, -3*f + 0*i - 2*i + y = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:09 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 15*b**2 - 13*b - 11. Let z be h(14). Suppose 0*u = z*u - 42. Suppose u = 5*n - 191. Solve -5*g = -4*i - n, -3*g = -2*g + 3*i + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212210 (base 5) in base 12?\nAnswer: 11245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364 = y + 3*x, 0 = -5*y - 5*x + 2410 + 4410. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85049.2 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - m - 3*m)*(0 + 3 - 1) - 6739 + 3366 + 3373 + 2019*m.\nAnswer: 2023*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f**2 - 563 - 561 + 1125 + 2*f + 6*f**4 to c*f + u*f**2 + o + q*f**3 + d*f**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(288)*2 - sqrt(288))*3.\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y + 16 = -5*i + 46*y, i = y - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - (7 + -4)) - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23934.53t to grams.\nAnswer: 23934530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 900 + 10 - 792 - 10*q. Give u(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1301*v**4 - v**3 - 25070*v.\nAnswer: 15612*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -4*o + 1\/10*o**3 + 0 - 1\/60*o**4 - 1\/5*o**2. Factor y(s).\nAnswer: -(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5873132 is divided by 734131.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-33)\/(-8))\/((-42)\/56) and 67\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Suppose -d*w + 4 + 11 = 0. Suppose 3*m - 621 = 3*t, -2*t - 298 = w*m + 91. Round t to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.91167 weeks?\nAnswer: 4784978016000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k**2. Let f be 9298 - 21 - 2\/2. Let c(b) = -9276*b + f*b - 2*b**2. Determine n(c(s)).\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3) + -80 + 1. Let p = -56 - s. Let k be 0 + 2*55\/2. What is the highest common divisor of k and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6717 + -6010. Calculate the remainder when a is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = s - 1, -4 = -5*v - 9. Suppose 6*c + 6 = -r + 2*c, 3*r - s*c = 16. Suppose -o + 1151 = 5*b - r*o, -o = 3*b - 689. List the prime factors of b.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (4720\/(-1365) + 1). Let v = p - -10\/39. Sort -3, -1.2, v, -1\/3.\nAnswer: -3, -1.2, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24283 + -24154.496. Let l = -128.3 - -0.3. Let a = c + l. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide -13 + 18 - (-1240 + (-1 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 9. Let g be n(-7). Let w(j) = -j**3 + 3*j + 1. Let s be w(g). Suppose 8*b - 47 = 3*b - s*k, b + 13 = 5*k. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Suppose w + 4 = r + 9, 15 = 4*w - 3*r. Let l = 5 + -3. Solve 0 = -i*k - w*k + l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, n: 1}. What is prob of picking 1 n and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 19*q**2 - 7*q - 131. What is the remainder when 1557 is divided by p(7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25534, 25628, 25722, 25816?\n\"Answer: 94*n + 25440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001540861 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -20. Let w = 19 - x. Suppose 0*q + w = 5*q. Solve q*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 76. Let i be y(-33). Let g = -106 - i. Suppose 41 = g*u + 2*j, 28 = 3*u - 5*j - 27. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493331793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -716, -3229, -7484, -13493, -21268?\n\"Answer: -2*t**3 - 859*t**2 + 78*t + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*q - 4)*(2 + 5 + 9) + 4*q - q - q + (-1 + 0 + 0 + 1 - 2 - 1 + (1 + 0 + 0)*(-4 + 0 + 5) + 3 - 2 - 3 + 3 + 0 + 0)*(0 + 0 - q).\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 53793.\nAnswer: 53793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159721873*l + 159721873*l - 31*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 + 247. Let i(p) = 16*p**2 - 8*p. Let q(v) = v**2 - v. Let m(k) = d*i(k) - 36*q(k). Factor m(j).\nAnswer: -4*j*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29\/9 - (-4)\/(-18). Let s = -3 + o. Let x be s + -2 - (-3 - 1). Sort x, 0, 5.\nAnswer: 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2276677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*r - 170*r - 3*g + 19 = 0, 20 = 4*r + 4*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**2\/2 + z - 3. Let q(a) = 7*a + 2. Determine 4*j(m) - q(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 144. Calculate the remainder when 492 is divided by j\/4 - 9\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 626*c**5*x**3 - 76*c**2*x**3 - c**2*x wrt c?\nAnswer: 37560*c**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7008430 and 11310.\nAnswer: 21025290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-19)\/d)\/d*d**25)\/(d**(-1\/5))**39 assuming d is positive.\nAnswer: d**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2201 - 1531 - 307)*(0*m + m + m).\nAnswer: -8078*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let b = 61 + -59. Let u(v) be the first derivative of 0*v - 1 - 1\/2*v**b. Calculate u(i(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/308065 and 59\/11865.\nAnswer: 731038245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 - 1 = -f, -4*f - 6 = 2*x. Let s(r) = -r**3 - 4. Let i be s(f). Let n = 4.9 + 0.1. Which is the biggest value? (a) 2\/7 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9 + 65*a - 63*a + a**2 + 0*a**2. List the prime factors of p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 - 7*i**2 + i + 10. Let z(j) = j**3 + j**2 - 1. Let a(k) = n(k) + 5*z(k). Let d be a(5). Let u be 2\/3 + d\/(-34). Which is bigger: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59.5, -5, -3, -8, 3\/4 in ascending order.\nAnswer: -59.5, -8, -5, -3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 3?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1161142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/64*8 - -3. Factor -v**2 + 0 - 1\/3*v**f - 1\/3*v - v**3.\nAnswer: -v*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 52*d - 3632. What is y(92)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = -2*u, -2*u + 0*u = 5*f - 7. Let a(h) = -25 - h + f*h + 8 - 8. Calculate the remainder when 43 is divided by a(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 31.\nAnswer: 9\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305066 + 305063 - 3*n**2 - 4*n + 15*n**4 - 14*n**3 - 11*n**4 to f*n + z*n**4 + j*n**2 + u*n**3 + w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*o - 4. Suppose -3*n = 4*j - o, 0 = 5*n + j - 6*j - 40. Let f(c) = n*c**2 - 6 + c**3 + 2*c + 0*c**3 - 3*c. What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.5565 and 37119059.\nAnswer: 37119067.5565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.2 + -29. Suppose -2*m = 3*w - 9 - 6, -5*m = -3*w - 6. Which is the closest to 1\/5? (a) m (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzt when three letters picked without replacement from talaaaaazaatixalaa?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4\/2 + 1527*d**3\/2 - 109725*d**2\/2 - 10952079*d\/2 + 5530140 = 0. What is d?\nAnswer: -55, 1, 171, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5260 is divided by 97.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 9. Suppose z + 9 = -v, 0*z + 4*z - 3*v + 8 = 0. Let f be 7 + 2 + z\/1. Is n(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01302 + -1.88698. What is the biggest value in -4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -167 in 66, -1, 0.1, 0.08, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5873, 5874, 5875, 5876, 5877, 5878?\n\"Answer: c + 5872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*t**2 + 332*k**2 - 3*k*t**2 + 6*t**2 wrt t.\nAnswer: 4*k**2*t - 6*k*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21533*r - 4050 = -21383*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/1481844 and 67\/4130.\nAnswer: 7409220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 0 (c) 1406 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 11*v + 2*v. Let o(m) = m - m - m + 0. Calculate o(c(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 3. Let f be u(9). Let o be 176\/f + 4\/(-6). Let x be 2\/9 + o\/(-27). Are 1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 2. Let m be l(8). Let w(f) = 2*f**2 + 14*f + 14. Let q be w(m). Suppose 2*r - 36 = q. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpp when three letters picked without replacement from {t: 3, p: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 26*b**2 + 52*b - 108. Let d be x(-28). Solve -9*u = -d*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1641\/35, -2, 409 in ascending order.\nAnswer: -1641\/35, -2, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2845, -5665, -8433, -11131, -13741, -16245, -18625, -20863?\nAnswer: -22941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2322 (base 4) to base 10\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243 + 344. Let x(l) = c*l + 185*l + 42*l + 4. Let q be x(-3). What is q rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) - (-5 - 534\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 - 258*n + 1215 = 0. Calculate n.\nAnswer: 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/340 and 51\/36080?\nAnswer: 613360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 645*a - 646*a - 5*y, -y = 3*a - 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 10 - (25 - 68 - -65)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327969342 to the nearest integer?\nAnswer: 18110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348720 a multiple of 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b - 30. Let f be q(-5). Let n be 2 + -2*4107\/(-42). Let r = -198 + n. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(16\/(-30))*((-2)\/10 - 198\/(-1430))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3281 + 3259.01. Let m = 46 + -24. Let u = m + i. Round u to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*d - 40 = 0, 38 + 53 = 4*l - 3*d. Let f = l + -15. Suppose -p + 19 = -0*y + 2*y, 3*p = -y + 37. What is the remainder when p is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 + 8*f + 4. Let c be a(-8). Let o be (-355)\/(-25)*c - (-2)\/10. Let y = -37 + o. Solve -5*p = -3*b + 6*b - 20, -5*b - y = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 3*y - 5. Let r(o) = -2*o**2 + 8*o - 14. Suppose 4*j = -5*u - 3, -u = 2*j + 3 - 6. Let m be 3 - (1 + 2) - u. Give m*r(x) - 8*a(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 s when four letters picked without replacement from suuusuuuuuuuuuuuuu?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21583976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 + x**3 - 7*x**3 - 3*x**3 + 128*x + 22*x - 2.\nAnswer: 2*x**3 + 150*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 + 184*a - 24. Let i be b(14). Solve -x - 12 = 3*g, -i*x - g = -3*x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 28. Suppose a*m + 74 = 7*m. What is the derivative of -18*l + 34*l - 28 - 16*l + m*l**4 wrt l?\nAnswer: 148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 5, -2\/39, 10, -1\/13?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7274\/237 - -2\/79. Let l = h - -347\/12. Calculate the common denominator of l and 95\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3*t**3 + 1299*k**3*t + 4352*k*t**3 wrt k?\nAnswer: 12*k*t**3 + 7794*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/10)*u*u)*u**(1\/5)*u**(3\/11)*u**(-5\/7)*u)**(-10\/11) assuming u is positive.\nAnswer: u**(109\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2457, -2445, -2431, -2415, -2397, -2377?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:57 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16638.\nAnswer: 2, 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 600 - 595. Let l = 31 + -18. Sort w, l, -2.\nAnswer: -2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w + 5*w = 520. Let m(i) = 4*i - 35. Give m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1181, -4602, -10245, -18104, -28173, -40446?\n\"Answer: o**3 - 1117*o**2 - 77*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkmkqmqmkkm. Give prob of sequence qk.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22301414 + 3?\nAnswer: -22301411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 - 0.4. Suppose -32 + 19 = 21*m - 34. Which is the biggest value? (a) m (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 at least 754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 + 34 = -3*f, 3*z - 2*f = 73. Suppose -z = -4*j + o, -4*j - 5*o + 5 = -0*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - -2) + 1 - (6 + -8)) + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.005, 0.2 in decreasing order.\nAnswer: 0.2, 2\/19, -0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936593882.\nAnswer: 2, 7, 66899563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m**3 - 5*m**2 + 2*m - 6. Let d = 15 - 9. Let q(y) = y**3 + y**2 + 1. What is d*q(u) + s(u)?\nAnswer: -2*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*k**3 + 73*k**3 - 24*k**3.\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-8))\/(3\/4). Let f = 0.534 + -0.034. Let a = -0.8 - -5.8. What is the biggest value in a, f, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 115.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 1 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 - 5*n**2 + 5*n - 5. Let u be (1 - 0)\/((-1)\/5). Let f(x) = 3*x**3 - 17 - 6*x + 38 - 17 + 3*x + 4*x**2 - x. What is u*f(l) - 4*g(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3840 = -41*i - 343*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 566*z + 9130. What is k(-16)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Let g(i) = 2*i - 115233. Give g(t(y)).\nAnswer: 4*y - 115233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*d - 35845563 = -35841891 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12105085.7 rounded to the nearest 10000?\nAnswer: -12110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {d: 2, k: 8, g: 4}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 144, 188, 248, 324, 416?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-182))\/((-78)\/(-3718))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005334837 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**26)**32\/(d**(-10)\/d**31))**27 assuming d is positive.\nAnswer: d**23571","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 40. What is the closest to -0.07 in -0.3, 0.5, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3828)\/440 - (-4 - (1 - (1 - 5))). Which is the third smallest value? (a) 0.5 (b) x (c) -176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3420, -13559, -30432, -54039?\nAnswer: -84380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 2133.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m - 6. List the prime factors of a(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 33*s**2 + 44*s - 2. List the prime factors of k(-31).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11311 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(6 + 66). Suppose 9*g - 10 = 4*g. Suppose -z = -6*r + r - 4*x, -g*r = -2*x. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3564190 divided by 413.\nAnswer: 8630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -40*f**7\/7 + 21*f**4\/4 - f**3 - 388*f**2 - 8803. Find the third derivative of i(u) wrt u.\nAnswer: -4800*u**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 69. What is the third derivative of 4*p**5 - 6*p**2 + 15*p**d + 12*p**2 wrt p?\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -56, 941, 2630, 5017, 8108?\nAnswer: 11909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19087, -38175, -57261, -76345, -95427?\nAnswer: -114507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-50239671.\nAnswer: -25119835.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plv when three letters picked without replacement from {l: 1, v: 4, p: 1, h: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 46*g**2 + 25*g + 55. What is i(46)?\nAnswer: 1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/7 - 1350*a**3\/7 + 22464*a**2 = 0. What is a?\nAnswer: -546, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22015)\/(-3145)*(-1 - 34\/(-7)*(2 - 0))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -962*a**3*o - 8*a**3 + 345*a**2*o - 889*a**2 + 60*a - 5*o wrt o?\nAnswer: -962*a**3 + 345*a**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -2323.9524863863.\nAnswer: -2331.9524863863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + (17 - 9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 51. Let g = n + -14. Is g greater than or equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54\/589 - 157474\/4123. Let m = 38 + y. Which is the third smallest value? (a) 3 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 5*n + 2. Let w be q(-4). Is (-18)\/w + -2 + 0 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (57\/(-9) - -6)*3. Sort o, -2, -0.4, -0.1 in descending order.\nAnswer: -0.1, -0.4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 - 9 = g, -5*h = -4*g - 5. Let f = -10 - -12. Which is greater: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 252\/((-15)\/50*-5). Let u = h + -163. Calculate the lowest common multiple of u and 107.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6086 + -95?\nAnswer: 5991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 341*m - 122*m - 119*m + 295 - 114*m.\nAnswer: -m**2 - 14*m + 295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 138242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28569 - 28568.99993603. Round k to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48221372 and 160.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 256.6?\nAnswer: 1026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*f = -3*r + 192, -253 = -4*r - f. Let i = -8 + 17. Calculate the greatest common divisor of i and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 706615?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7.18896*6\nAnswer: 43.13376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33452\/(-1 + 2 + -431*(-377)\/(-162500)). Round i to the nearest 1000000.\nAnswer: 418000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -5 - 11. Which is the second biggest value? (a) -4 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = q + 25, -3*t + 4*q = -5*t - 56. Suppose 44*v - 47*v - 246 = 0. Let i be v\/60 - t\/110. Which is the second smallest value? (a) i (b) 2\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*1*1\/31. Let u = 50382167\/186 + -1083455\/4. Let g = h - u. Calculate the common denominator of 57\/16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)*v)\/v*v**5*v**(-2\/17)\/v**(-1\/6))\/(v**(-5\/4)\/v**(-1\/6))**(-29) assuming v is positive.\nAnswer: v**(-9033\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135910 - 13*o - 2665*o**2 - 135910 + 13*o.\nAnswer: -2665*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f\/(f**(-3)\/f)))*f)\/(f\/(f*(f\/f**(3\/7))\/f)*f*f))\/(f**(2\/7))**(-9\/5))**(-13) assuming f is positive.\nAnswer: f**(-2314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105468 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.69 and 513303.\nAnswer: 513304.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p + p + 5*p - 1. Let z(x) = -4*x - 2. Suppose w - 9 = -4. What is w*r(i) - 2*z(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-36))\/((-51)\/((-34884)\/38))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 700 + -692. Solve r*d = -2 - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260 + -103. Suppose s - o = -5*m + 3*s, -4*m + 2*s + 126 = 0. What is the highest common factor of m and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) - (-6)\/(-5). Let x = f - -10. Let a = x - -1. What is the remainder when 29 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**4 - 17. Let s(w) = -2 + 3 - 2. Let k(u) = 2*s(u) - z(u). What is the first derivative of k(v) wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = 91. Suppose -h + 6*h = -5*z + 65, 4*z + 3*h = p. Suppose -2*n + z = -q, 4*q + 36 = -n + 5*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49802391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Add together 17642 and 3.\nAnswer: 17645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b**2 - 3*b + (-4*b + 4*b + b)*(-3*b - b + 6*b))*(-59 + 59*b**3 + 26 + 35).\nAnswer: 236*b**5 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*t**3 - 14340*t - 14340*t + 28680*t.\nAnswer: 1006*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (16 - 9) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1\/3 (c) 0.4 (d) -0.4 (e) 164 (f) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341904 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1359*i**3*j**2 + 532*i**3*j + 3*i**2*j + 2*i*j**2 - 7*j**2 wrt j?\nAnswer: -2718*i**3 + 4*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481 a factor of 142242912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*l + 330 = 0, 5*l - 15 = -0*l. What is the remainder when b is divided by (-444)\/(-28) + (-1)\/(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*n + 11, -2 = 3*q + q - n. Which is the smallest value? (a) -0.3 (b) q (c) 3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 2, x: 7, p: 1}. What is prob of sequence hx?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from iiiqiqi.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61427 is divided by 3612?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 41*n + 202. Give h(-35).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {d: 1, g: 12}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -78. Let f = -40.9999941 - l. Round f to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/15 - 8\/6. Let y be s\/3 + (-25)\/(-3). Suppose -13*c = -y*c. Sort -4, c, -2 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -105?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 176229?\nAnswer: -881145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -778, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42410 - 19?\nAnswer: -42429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 + 31030*y - 772625 = 0.\nAnswer: 25, 6181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/1*(-5520)\/805?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/5 - 2832*t**2\/5 - 36502*t\/5 - 33672\/5 = 0 for t.\nAnswer: -1403, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65382 by -6.\nAnswer: 10897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.55 - -58. Let h = -1.65 - j. Let s = -1\/273 - 527\/5187. Which is the closest to h? (a) -3\/4 (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8259820?\nAnswer: 2, 5, 167, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2287*w**3 - 4615*w**3 + 2326*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 3*q + 230 - 230 - 3*q**2 + 2*q to the form m*q**3 + d + p*q**2 + i*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 10*a - 4. Let x(l) = -l**2 + l - 1. Let t(h) = -c(h) + 5*x(h). Let r be t(-4). Suppose 0 = r*j - 2*j - 34. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3354 - -4126. Calculate the remainder when u is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30011100011 - -21100?\nAnswer: 30011121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 19. Let x = 21 + i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-4) + (-279)\/(-63) + (-3)\/7. Put 1.1, -0.4, x, 6\/5 in increasing order.\nAnswer: -0.4, 1.1, 6\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6049365 divided by 3389\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -1919 (b) -0.06 (c) 2\/5 (d) 2\/3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 4 - (5 + -2 + -8 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 424 - -2?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, -117, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + 3*f - 4. Let t(d) = 23*d**2 - 18*d + 23. Let m(s) = 6*t(s) + 34*v(s). Let y be m(4). Suppose l = y + 17. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/1 - 8)*(-256)\/(-10). Let x = y + 127. Let f = -133\/6 + 322\/15. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozkkooozzook. Give prob of sequence kkk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/22 and -173\/11032098.\nAnswer: 11032098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Let g(u) be the third derivative of u**4\/12 + 29*u**3 + 61*u**2. Calculate i(g(w)).\nAnswer: 4*w + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -750, -760, -776, -798, -826?\n\"Answer: -3*w**2 - w - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*x = -23, 4*x - 1 = 4*v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n + 0 = 33. Let y(t) = t - 1. Determine y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, 4, 23, -5, 1477 in decreasing order.\nAnswer: 1477, 23, 4, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -158, -139, -102, -41, 50, 177?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 42, 87, 150?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h - 4 = -68*h. What is y in 3\/4*y + 0 + 3\/4*y**h - 3\/4*y**3 - 3\/4*y**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/120)\/(9\/24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20024.\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -43777347 at least as big as -43777348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = d - 27, -5*x - 108 = -4*d. Let b = d + -136\/5. Let u = 10724 + -10727. Sort b, -1, 0.21, u in decreasing order.\nAnswer: 0.21, b, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i + 15 + 0 - 30*i**2 + 37*i**2. Is g(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*d + 8. Let s be ((-9)\/6)\/((-3)\/18). Suppose -5*v - s = i, d = 5*i - i + v. Solve 0 - i = -c, -3*c = 4*q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922776 divided by 38449?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1041794359 or 1041794360?\nAnswer: 1041794360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -50765, -1, -2, 8.\nAnswer: -50765, -34, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 638160 greater than 638159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 8) to base 6.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/93 (b) -4\/263 (c) 30 (d) -0.07 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.08508 decades to millennia.\nAnswer: 0.4708508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/60 + z**4\/6 - z**3\/3 + 2*z**2. Let c be -11 - ((-6)\/3 - 0). Let s be (-204)\/(-54) + (-2)\/c. Calculate f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*g = 0, 0*p - 3 = p - 2*g. Put p, -1, -4 in increasing order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/(-68) - 10\/1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119285730 to the nearest one million.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587488303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g - 68. Is 17 a factor of t(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 - 112*d**3 - 48.\nAnswer: 4*d**3 - 336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 1 + 0*a + 4*a + a + 0*a**2 + 0*a**2 - a**2 + (-1 - 2*a + 1)*(5*a + 0*a + 2*a).\nAnswer: -17*a**2 + 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23094, -45324, -67554?\n\"Answer: -22230*a - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 + c - 6. Let f be v(8). Let u be 20\/(-25)*(-15)\/f. Solve -3*s - 1 = -5*y, 0*y = -2*y + 4*s + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009579 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 856*l - 2556. Give b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*h - 71 = 0, -3*x = x - h - 67. Factor -17*b**3 - x*b**3 + 10*b + 35*b**3 + 6*b + 12*b**2.\nAnswer: 2*b*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 5*q**2 + q + 1. Let v(g) = 1. Suppose -3*o + 3 = -0. Let t(r) = o*l(r) + v(r). Let f(z) = 142*z + 4265. Let h be f(-30). Calculate t(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 114. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 133*r**2 + 1343*r - 105. Determine o(-10).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.08472653 (b) -4 (c) 6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(208))**2 + 1 + sqrt(13) + 1 - (0 + 2 + sqrt(52)))*4.\nAnswer: -4*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**2 - 2*z**2 - 3*z**2 + (2*z + 2*z - 2*z)*(-11*z - 27*z - 30*z).\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5636 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:20 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.02 - -40.12. Let z = v + -39.099998954. What is z rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15528576 by -20352.\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (3\/((-12)\/16) + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 1\/3023, 0, -5.\nAnswer: -5, -4, 0, 1\/3023, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(7)*-3 + -3*sqrt(7) + 2 + sqrt(7)).\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -814, -1634, -2454, -3274, -4094, -4914?\n\"Answer: -820*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*z - 933 + 464 + 470)*(1 + 0 - 2).\nAnswer: 151*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -603615 - 2?\nAnswer: -603617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3987, -6380, -10369, -15954, -23135?\n\"Answer: -798*b**2 + b - 3190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*n = -0*g + 135, 0 = -g + 5*n + 57. Calculate the smallest common multiple of g and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 3, 4.\nAnswer: 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * 0.028.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 45844959 = 45846774 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 + 5*m**2 - 5*m**2)*(m + m + 0*m) + 39*m**3 + 87*m**3 + 88*m**3 to the form s*m**2 + p*m**3 + x + y*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, p: 3, j: 2, d: 6, u: 2, g: 1}. What is prob of picking 1 g and 1 h?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 106*j - 408.\nAnswer: -(j - 102)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2 + n - 1. Let f be k(-3). Suppose -2*o = w - 3*o + 8, -5*w - 20 = f*o. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:21 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t + 3*t. Suppose -2*d - t = 2. Let g be ((-5)\/d)\/(2\/72). What is the highest common divisor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/35*1\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1)*5\/(-140).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1, 0.502, 3\/2381?\nAnswer: 3\/2381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100021210112102 (base 3) to base 16.\nAnswer: 4b5300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 688, 1026, 1364?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10692\/22325?\nAnswer: 10692\/22325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.77 (b) -1 (c) 6 (d) -20 (e) 0.01 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggvvg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 - -395. Suppose -2*i = 5*w + 7, -4*i + 19 = -w - 0*w. Let m = -1 + i. Solve -2*l - 20 = 3*l + m*q, -v = 3*l + 4*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 138. Let b = w - -58. Let j = 22.9889 + b. Round j to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 446356?\nAnswer: -446403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -9\/7418?\nAnswer: -9\/7418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u**3 + 6*u**2 - 6*u + 2. Let s = 994 - 988. Let w(n) = 13*n**3 + 5*n**2 - 5*n + 2. Give s*w(h) - 5*o(h).\nAnswer: 13*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) -0.2 (c) 3 (d) -2\/5 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5429*y**2 + 5770*y**2 + 13721 - 3460*y**2 - 13737.\nAnswer: 7739*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 17*t**2 - 18*t + 29. Let j be s(16). Put j, 31, 0 in descending order.\nAnswer: 31, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (476\/(-5) - (-9 - -7))*-15. Let h = -773 + i. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6176)\/579*417\/(-2).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70467760 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -12. Let h = 72 + -70. Let f(b) = 0 - b + h - 3 + 13*b. Determine f(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65871 and 81.\nAnswer: 592839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*v + 39, -v = -3*t - 2*v + 36. What is the remainder when 54 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/92*(-12064)\/(-90480)\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 35\/(-15) - -2)*-6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14144315 - -11?\nAnswer: 14144330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + a + 0*a**2 - 4*a - a**2 - 6 + 2*a**2 to o*a**4 + t*a**2 + n*a**3 + r*a + p and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5*z - 6. Let c be a(6). Let i(q) = -q + 28. Let g be i(c). Suppose 4*x - 8*x = g. Is x > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*q - 12, -n - 3 = -18*q + 22*q. Let t = -8 + 4. Suppose 0 = -2*p - 4*o + 4, 5*o - 3*o + 2 = p. Which is the closest to t? (a) q (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34927721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*(-13824)\/1920?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Suppose 5*y + 4*i = 88, 2*y = 4*i + 34 + 18. Suppose x*p - y = 2*p. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.276095 decades to centuries.\nAnswer: 0.5276095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 11) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 3)\/2 + 2415\/3?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) 9 (c) -5\/63 (d) -1\/4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 439, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 64. Let o = 26 + l. Let k = 2 + -1. Is k at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 51.01 (b) -13 (c) -15 (d) -16 (e) 0 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + q + 2 + (1 + q - 1)*(-2 - 2 + 6) - q - q + 4*q)*(12*q**2 + 1036*q**3 - 24*q**2 + 12*q**2) as m*q**3 + s + y*q + i*q**4 + c*q**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**2. Let z(u) be the first derivative of -u**4\/6 - 2*u + 2. Let g(d) be the first derivative of z(d). What is h(g(b))?\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 10*d + 10. Let m be w(7). Let c = 39 - m. Let t(z) = -z**3 + 9*z**2 - z - 10. What are the prime factors of t(c)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 2*z - 29. Suppose -3*q - 4 = d, 4*q + 2*d + 8 = -0*d. Let f be i(q). Let o = 33 + f. What is the remainder when 18 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 42016472.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2.4 (c) -4 (d) -2 (e) 0.3 (f) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -339615834.3797.\nAnswer: -339615834.5797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -615\/29?\nAnswer: -615\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*2.022.\nAnswer: 137.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378992 is divided by 60.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 925, 2074, 3673, 5716, 8197, 11110, 14449?\nAnswer: 18208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/5*r**5 + 0 + 5*r + 0*r**3 + 0*r**2 + 1\/3*r**4. Find the third derivative of x(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 93*q - 1167 = 193 + 521 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*n + 41 = 0, -n = -1200*p + 1195*p - 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**2 - h + 4. Let z(l) = -1. Let u(w) = -1. Let a(j) = -3*u(j) + 2*z(j). Let y(g) = -3*a(g) + k(g). Let s be ((-3)\/(3 + 0))\/(-1). Give y(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 3. Let t(q) be the third derivative of q**4\/24 - q**3\/6 - 16*q**2. Let p(b) = -s(b) - 4*t(b). What is p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-4) + 2\/(-4). Suppose j*k - b + 99 = 2*b, -3*b = 3*k + 69. Let h = -20 - k. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*h*k + 196*k wrt h?\nAnswer: 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-24 + 29) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/19))*n)\/n**(-9)*((n*n**5*n)\/n)\/n*n**(2\/11) assuming n is positive.\nAnswer: n**(3195\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 2628a4?\nAnswer: 2628a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -53 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 481? (a) -20 (b) -3\/2 (c) 34 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 92955, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*p - 92 = -115, 0 = -2*o + 3*p + 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1138 + 1135. Suppose 3*c = 2*m - 18, -5*c - 33 + 7 = -2*m. Calculate the least common multiple of 20 and d\/4*(c - 12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12392?\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.642 less than -0.3652?\nAnswer: -8.0072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/6 - 3*i. Let c(w) = 14*w + 10*w - 22*w. Give o(c(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147840 = 282*h - 268*h. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -11. Let m = 20 + x. Suppose 0*f = 5*j - f - 53, j + 2*f - m = 0. Solve 0 = -i + 4*d + 20, 2*i + j = 4*d + 31 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -282702?\nAnswer: 5\/282702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4210 + 9*q - 4579 + q + 8789.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - l + 19 - 24, 4*c = -3*l - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 8 = -j, -9*s + 1 = -10*s - 4*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-21)*(71 + 202674\/(-2856)).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/684*3)\/((-658)\/(-188))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2 + 52*(-5)\/(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*d = -447, -4*d = 2*u - 3*d - 177. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (13 + -7)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385063313\/768658 + 27\/34939. Let s = 122 - 621. Let a = s - v. Find the common denominator of a and 79\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15)\/((-1)\/(-2)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12176, 3, -2, -1, -3, -30 in descending order.\nAnswer: 12176, 3, -1, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/30 - y**4\/6 - y**3\/3 + 9*y**2. Factor g(c).\nAnswer: -2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 813 - 2179 = -2*a, n - 4498 = -3*a. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24949687099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1672 and 8445880?\nAnswer: 92904680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 3, m: 1, v: 2, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340107374 to the power of 1\/3, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 353577277.6 to the nearest ten thousand.\nAnswer: 353580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:00 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -4 in decreasing order.\nAnswer: 19, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(320)*1 + -3)**2 - (sqrt(320) + -2 + 0)) + 4)*1*-1.\nAnswer: -337 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14968209 is divided by 404546.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7)*-4)*1)**2*5.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 75 = -48*q. Suppose 0 = 3*z + 3*t + q, 4*z - 2 = 5*z - 2*t. Which is bigger: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 90 (b) 3 (c) 412 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*(-270)\/(-324)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6150000 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 22*p**2 - 29*p + 26. Calculate c(21).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 12*u**2 + 30. Calculate the remainder when 158 is divided by d(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*b + 45 = 2*b, 0 = 5*h + b - 130. Let p = h + -9. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*t**3 - 42*t + 42*t + 28*t**3 - 2049*t**2 + 2049*t**2 + (-3 + t + 3)*(t**2 + 2 - 2) to the form n*t**2 + j + f*t**3 + q*t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n - n + 0*n - n to the form m + y*n and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15450.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 765583839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*d - 18 - 4 = 0, o + 2*d - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3179\/2 + -3881561\/2442. Let f = c + -131\/222. What is the common denominator of f and 27\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.45089385 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8181375 to the nearest integer?\nAnswer: 2860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -192.6 + 136.5. Let u = 0.0344 + -56.0344. Let m = q - u. What is the second smallest value in 2\/5, 2, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**0)))**12\/(c**(-1\/4)\/c)**(13\/3))**31)**(-24) assuming c is positive.\nAnswer: c**(-12958)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 403*v**2 + 1480*v + 9234. Give i(-205).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/10 and 9\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-2 + 2 - (-18 - -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-4 - -3) + -1). Which is smaller: -4\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121869 - -43872731\/360. Calculate the common denominator of p and -18\/565.\nAnswer: 40680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/15 - 38*w\/3 - 2816\/5.\nAnswer: 2*(w - 128)*(w + 33)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + 4 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 7. Let r be h(-7). What is the greatest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 17*x**3 - 10*x**2 + 12*x + 169. Let l(k) = 22*k**3 - 13*k**2 + 16*k + 225. Give -7*l(f) + 9*s(f).\nAnswer: -f**3 + f**2 - 4*f - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0263 take away 19164.017?\nAnswer: -19164.0433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -5.7+55\nAnswer: 49.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 327358?\nAnswer: 327361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 14, v: 1}. What is prob of sequence ivii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.4563 + -0.4563. Sort 2\/23, f, 19, 14, 0.4 in ascending order.\nAnswer: 2\/23, 0.4, f, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17582843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0. Let n = v - -0.05. Let x = -4 + 3.9. Which is greater: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(684) - sqrt(684)) + 3.\nAnswer: 3 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-21658)\/8330*1*-20\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*o - 46 = -3*r, 0 = -3*r + 4*o - 63. Let q be (r + 15)\/((-14)\/4). Which is the biggest value? (a) q (b) 2\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -245. Let b = 160 - y. Calculate the remainder when 130 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702374.3 nanoseconds to seconds.\nAnswer: 0.0007023743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {c: 9, z: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1402798749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 0.25098085?\nAnswer: 0.74901915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 44834.9 to the nearest one hundred.\nAnswer: 44800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*h**2*o**2 - 1413*d**2*o**2 - 94*d*h**2*o - 4*h**2*o**2 + 13*h*o**2 wrt d?\nAnswer: -8*h**2*o**2 - 2826*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3136 or 3164?\nAnswer: 3136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*8\/(-12)*12\/8. Suppose -59*q + 54*q = -15. Solve -q*r - 2*h = -5*h, f*r + h = 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 497135.1 weeks to nanoseconds.\nAnswer: 300667308480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4973679262 rounded to two dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41335*x = 82702*x - 41336*x + 527 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7442*g**5\/9 - 88328*g**4 + 2601450*g**3 - 113229356*g**2\/9 - 8003200*g\/3 + 67240000 = 0. What is g?\nAnswer: -2, 4, 3075\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -84645 and -84645 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q + 6. Let s(n) = 1. Let d(m) = -7*m + 10. Let k(c) = -d(c) + 5*s(c). Let i(g) = 2*k(g) + 3*z(g). What is i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250)*1)\/sqrt(5))\/sqrt(10) - -1*sqrt(35)\/(sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(112))))) + 0.\nAnswer: 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w - 42 + 142 = -236 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.04 - 31. Let v = f - 0.04. Let k = -16.5 + 15.9. Is v greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*5\/5. Let a(l) be the second derivative of 1\/6*l**3 + 3*l + 0 + 0*l**2. Calculate a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015102451 rounded to 7 dps?\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51720884.\nAnswer: 2, 12930221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/196)\/(27\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096.718cm in millimeters?\nAnswer: 40967.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 973, 1459, 1945, 2431, 2917?\nAnswer: 3403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2186*b**2 + 8*b + 8. What is the units digit of w(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -15, -22, -41, -78?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 364\/32 + (-290)\/(-464). Solve 4*o + n*j = 8*j + 16, -4*o = -2*j - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 + d + 2. Let w(y) be the second derivative of 13*y**4\/6 - 5*y**3\/6 - 9*y**2\/2 - 2408*y + 2. Calculate 11*r(z) + 2*w(z).\nAnswer: -3*z**2 + z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -46*w - 129. What is the tens digit of t(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309*j**6 + 10*j**2 + 21*j**2 - 67*j**6 + 17*j**2 wrt j?\nAnswer: 29040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from wtwtetwtwwpwtw.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 - 17*w - 2*w**2 - 2*w**4 + 13*w + 2*w - 3 - w**4 as b*w + v*w**2 + z + m*w**3 + p*w**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzkkkzzkzzzz. What is prob of picking 1 k and 1 z?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6*(5 + -50 + -6). Let z = -84 + o. Is z less than or equal to -4\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3142, -35537, -123468, -294703, -577010, -998157?\nAnswer: -1585912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.13 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = -m + 8, 0 = -s - 3*m + 16. Suppose 3*a = 4*i + 117, -a - 3*i + s = -35. Let t = -36 + a. Solve t*h = 2*w + 8 - 3, -2*w - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-90)*(-6)\/9*-14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.301543nm?\nAnswer: 0.000004301543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7233.21 - -7233.620753. Let y = 0.4129 - z. What is y rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1513 - 1393 + 2910. Let x(f) be the second derivative of f**3\/6 - f**2\/2 - 3*f. Calculate -2*b(y) - 8*x(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.698452 minutes?\nAnswer: 461907.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 + -75 - 51 - (2 + 67)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 5. Let w be m(5). Let u be (-3)\/(-117)*(-5 + -1). Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.38, 3, 0.2, 53.2, -4, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18114 + -0.11886. Which is the nearest to 2? (a) 3\/56 (b) g (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*r + 43 - 90 + 50)*(r**2 + 2*r**2 - 2*r**2) in the form u*r**2 + s*r + c*r**3 + a and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-642)\/(-90))*-1*(-50)\/(-15).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 94930d?\nAnswer: 949313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239 + -239.1. Let k = -5\/13 + 53\/104. Let j = 5 + 0. Which is the closest to 2? (a) j (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -305.6 + 306. Let k be 3\/21*(17 - 16). What is the nearest to -1 in c, -4\/7, k, -0.05?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1))\/(3\/(163 - 1)). Let z = y + 133. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - q)*(16 + 35 + 2).\nAnswer: -53*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/374976 and 73\/85932.\nAnswer: 4124736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 7) to base 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6883\/5500 + -2\/1375. Which is the biggest value? (a) j (b) 0.21 (c) -0.01 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**3 + 376*h**2 - 6*h - 6. Let s(d) = -11*d**3 + 747*d**2 - 13*d - 13. What is -6*s(t) + 13*w(t)?\nAnswer: t**3 + 406*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-70) + 51\/21. Solve h + 6 = 2*t, -h + w*t = h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40384572.\nAnswer: 2, 3, 3365381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**4 - f**3 + f + 1. Let m(u) = -24*u**4 + 6*u**3 - 11*u**2 + 383*u - 6. Let p(a) = 6*l(a) + m(a). What is the second derivative of p(c) wrt c?\nAnswer: -216*c**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 239*y**2 + 1734*y - 1283. Determine o(-8).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/105163447?\nAnswer: -2\/105163447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.16 - -58. Let h = 17 - y. Let v = -0.06 + h. Does -2\/7 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p**2 + 12*p + 3. Let q be (2 + (-24)\/9)*-3. Let n be q\/(2 - 24\/10). Let f(w) = 27*w**2 - 18*w - 4. Let o(r) = n*f(r) - 7*y(r). Factor o(u).\nAnswer: -(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085589 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032903 is divided by 238.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 + -207. What is the nearest to -2\/5 in 3\/8, 0.12, c, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c**2 + 4 - 4 + 0 to the form u + f*c**2 + b*c and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 4, 94, 3.\nAnswer: -49, 3, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 19. Let o be c(7). Let j be (0\/o*1)\/2. Solve -5*b - 3 + 28 = j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 30. Let r be c(-19). Let x(u) = 3*u**2 + 2*u + 5. Suppose 4*i = -19 + 3. Let l(m) = 9*m**2 + 5*m + 14. Let v(o) = i*l(o) + r*x(o). What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppaq when four letters picked without replacement from {w: 3, a: 1, k: 8, p: 4, q: 1}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:10 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/4, 1.326, -22, -1 in ascending order.\nAnswer: -22, -1, -3\/4, 1.326, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -14283 (base 13) to base 16\nAnswer: -93a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 k when three letters picked without replacement from {y: 1, s: 5, v: 1, k: 3, n: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3688107099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16450.3 milligrams?\nAnswer: 16450300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*i - 6, -i = v + 3*i + 6. Suppose s - 3*m = 10, v*s - 12 = s + 4*m. Suppose -s*x + 3 + 21 = 0. Solve -x = 4*u - 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2737 + 2739. Let y(x) = -13*x**2 + 12*x - 3. Determine y(n).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155225466 + 61?\nAnswer: 155225560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = -69. Let y(r) = -2*r**2 - 21*r + 14. Let f be y(d). Solve -u - 4*u + n + 6 = 0, -f*n = -3*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9770970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1275912\/5 - 258221. Which is bigger: v or -3040?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784143169 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.951422ng in grams?\nAnswer: 0.000000006951422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006814874702 to six dps.\nAnswer: 0.006815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 10. Let v be 4*1*14\/(-8). What is the units digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -404 + 408. Suppose v + 20 = 3*v. Suppose -v = -o*d + 30. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*j - 21208 + 4673 = 17927 - 5449 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35035.4 + -31680. Round b to the nearest ten.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/48*(-4)\/14. What is the closest to -1 in s, 2\/5, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 550, 542, 530, 514, 494, 470?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:41 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48948, -48951, -48956, -48963, -48972, -48983, -48996?\n\"Answer: -t**2 - 48947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 + 15*y - 16. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26737.55 litres?\nAnswer: 26737550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13390833*t**2. Let u(c) = 15*c - 2. Determine u(v(d)).\nAnswer: -200862495*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971084 divided by -6?\nAnswer: 328514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 6*v - v - 12, -12 = -4*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*p + 58*p = -105. Suppose -5*l = -p*b - 930, l - 5*b - 180 = -6*b. What is the remainder when l is divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 185*a - 490. Calculate k(62).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:01 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 + 6*i - 7. Let c(l) = -l**2 - 1. Let o(t) = 3*c(t) - z(t). Is o(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 30*o**2 + 8*o + 6. Let y be z(3). Let x be ((-207)\/(-6))\/(135\/y). Which is bigger: 78 or x?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321\/(-642)*(-10)\/(-6)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2)*z*z)**(-11\/3) assuming z is positive.\nAnswer: z**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w + 20. Let m be g(5). What is the units digit of (-10)\/4*744\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeiiee. Give prob of picking 2 e and 1 i.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57077 divided by 57077.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-9\/7)\/q))\/q*q**6\/q*(q\/q**(-22))\/(q**37\/q) assuming q is positive.\nAnswer: q**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 11, 17, 23, 29, 35?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 17 (c) -3 (d) 4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 3*n**2 - n - 8. Let q(u) = -4*u**2 - 3*u + 3. Let o(w) = m(w) + q(w). Give o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 2}. What is prob of sequence poo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/3864 and -103\/26145.\nAnswer: 4810680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 9}. Give prob of sequence ooo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 43. Calculate the greatest common divisor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a00 - -29?\nAnswer: -29a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20738, 20731, 20724, 20717, 20710, 20703?\nAnswer: 20696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m - 91*m - 3 = -43*m + 5*n - 38, m = 73*n - 360 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/((-38)\/(-10)). Let w be (((-128)\/152)\/(-16))\/((-10)\/(-80)). What is i in 8\/19 - l*i**2 + w*i - 2\/19*i**3 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/3 + 596174*n**3\/3 - 7552190*n**2 + 92417550*n - 357750000 = 0.\nAnswer: -298125, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032 in 4\/7, 2\/7, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651230 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: What is 245216337659 less than 0.4?\nAnswer: -245216337658.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 36718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/((-21)\/24*2 - -1) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e618 + -1a?\nAnswer: 2e5ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:02 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukeouqol. What is prob of sequence oku?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 1 + 4 + sqrt(425))**2*-4 - ((sqrt(17) - -3*sqrt(17)*-2)**2 + -1*(sqrt(17) + sqrt(17) + -1))*-6)*1.\nAnswer: -4344 - 412*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 + j + 5. Let n be m(0). Let i = 1642 - 1634. Suppose 5*l + 17 = -4*u, n*u + 4*l + 2 + i = 0. Solve -o = u - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - l = 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 18*v - 35. Let q be i(7). What is the third derivative of 2*y**3 - 179*y + 93*y - 8*y**3 + q*y + y**2 wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*w - 56, 4*w = u - 0*w - 42. Let x(i) be the first derivative of 2*i**2 + 0*i + 14\/3*i**3 + u + 7\/2*i**4 + 4\/5*i**5. Factor x(p).\nAnswer: 2*p*(p + 1)*(p + 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 118*f**2 - 4*f + 32*f**2 + 3*f**3 + 3 + 48*f**2.\nAnswer: 3*f**3 + 196*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177474 + 0.018.\nAnswer: 177474.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*-3*(sqrt(36) + sqrt(252)\/sqrt(7)))\/((sqrt(1200)*2 - sqrt(1200))\/sqrt(4))*6)**2.\nAnswer: 15552\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193985\/3876 or -49?\nAnswer: -193985\/3876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 152?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468) + 3 - sqrt(468))**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/2)\/(-4))\/(-21*3\/36)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242.82 + 89\nAnswer: 331.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -434401\/30 + 14480. Which is the closest to n? (a) 1 (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -28*n**2 + n + 1. Let r be m(1). Let q(s) = -2*s - 2. Let x(z) = 9*z + 9. Let b = 11 + -17. Let c(t) = t. Let k be c(b). What is k*x(j) + r*q(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2)*(s - s - 2*s) + (2 - 2 + s)*(1 + 1 + 1).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64247002*i**3*s + 2604*i**3 + 5*i**2 - 2*i wrt s.\nAnswer: 64247002*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 5*g**2 + 53*g + 279. What is the tens digit of k(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o - 1. Let c(a) = 45*a**2 - 15*a + 29. Let w(z) = c(z) + 6*h(z). What is the units digit of w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-666)*(-2)\/(-1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-8))\/((-6)\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97316074, -97316067, -97316058, -97316047?\nAnswer: -97316034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (1 - -2 - -17)) + -26 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-3)\/(-30)*-6). Solve -7*j + 6*j + b = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -0.1, 16, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7. Suppose 4*p - 2*r + 22 + 14 = 0, 44 = -4*p + 4*r. Let f(o) = 10. Let d(z) = p*q(z) + 5*f(z). Let c(x) = x - 4. What is c(i) + 4*d(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2\/7, 2\/9, -0.301?\nAnswer: -0.301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-21))**40\/(r**(-17)\/(r**(15\/8)\/r)))**(2\/121) assuming r is positive.\nAnswer: r**(-6257\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2. Let s(r) = -61*r**2. Calculate p(s(h)).\nAnswer: 22326*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 16 - 24 = 5*z, -26*w = -21*w + 3*z - 32 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50.9005467 and 0.3.\nAnswer: 51.2005467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98807011 and 3059?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40154*b**2*c*g + 9308*b**2*c - 62*b**2*g - 21*b*c wrt g?\nAnswer: 40154*b**2*c - 62*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772258 is divided by 4220.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(35\/70). Which is the second smallest value? (a) q (b) -1\/5 (c) -29.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - (8 - (5 - 3))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.038 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -32 + (-21 - -69).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -355 + 364. Solve v*r - 55 = -37 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-448)\/(-960))\/(2\/4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(243) + 0 + (sqrt(243) + 0 - sqrt(243)) + -5)**2 + 5.\nAnswer: -36*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*(b\/b**(-12\/7))\/b)\/((b*b\/(b\/(b*b**(5\/6))))\/b**(-3)) assuming b is positive.\nAnswer: b**(-185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3167821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/90*-10*9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 231 = -c. Does 43 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1197*s. Let o(l) = -9*l + 3. Determine o(m(y)).\nAnswer: 10773*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 675*t**5 - 2*t - 62?\nAnswer: 13500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*11*(-32)\/(-176).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 47. 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: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grgg when four letters picked without replacement from rgrggggggggg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - 1.8. Let d = -2.93 + 3. Let k = d - 0.37. What is the closest to -0.1 in 0.2, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, 8 in descending order.\nAnswer: 8, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (690\/(-14))\/((-33)\/220). Let v = p - 328. Let 6\/7*h + 2\/7*h**2 + v = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4107, 5366, 6625?\n\"Answer: 1259*s + 2848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/6*144\/(-64). Suppose -h*y + y = 40. Is y > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 3. Let p be z(0). Suppose 3*w + 13 = -2*l, -w - 4*w - l - 10 = 0. Let y be w + 1 + (4 - -2)\/2. Solve -p = -y*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20751134827585484 + 52583376331735526255\/2534. Let l = -267811325 + f. Let v = -2\/3801 + l. Calculate the common denominator of v and 58\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 31, 2, 46 in increasing order.\nAnswer: 2, 7, 31, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298 - 294. Solve -u*o + 2*h - 3 - 7 = 0, 5*h = o - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t + 73*t - 49 = -71*t - 3*k, -7*k - 2 - 21 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q**2 - 110*q - 202. What is the units digit of m(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91453 - 91452.8. Suppose -4 + 12 = 2*w. Let t = 3.9 - -1.1. Which is the third biggest value? (a) v (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*a + 4*k + 31, -2*k + 18 = -3*a. Let h be (1 - -1) + 2 - 0. Let g(t) = 1 + 4*t - h + t**2 - 5 + 2. Determine g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6225680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-918)\/27))\/(6\/4)*108?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -42 - ((48 - 28) + -89)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 2*m - 7. Let u be g(3). Let w = u + -20. Suppose -4*j = -2*j - w. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -3\/5 (b) -98 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -69*g**3 + 2140*g**2 - 29*g - 73. Calculate t(31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92689 is divided by 18525?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*m - 51. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005855262459 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 25*m**2 + 133*m + 103. Give h(15).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11.2, 0.427, 0, 162 in decreasing order.\nAnswer: 162, 0.427, 0, -5, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.47? (a) -0.4 (b) 0 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, -1, 5, -2\/369?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/19)\/(p\/(p\/p**(-4\/11))))\/(p*p**(-6))**(-11\/4))**(-37) assuming p is positive.\nAnswer: p**(417323\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*n**3 + 4*n**2 + 0*n - 4\/3.\nAnswer: 4*(n + 1)**2*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180612108*h*y**3 - 99068669*h + 2*y**2 wrt y.\nAnswer: 1083672648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 4. Let r(x) be the second derivative of -x**3\/3 - 3*x**2\/2 - 42*x. Calculate r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = s + 2969, 4*s + 3954 = 4*z + 5*s. What are the prime factors of z?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27597907 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123705.\nAnswer: 3, 5, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -4\/115, 1\/4, 2, 25.19?\nAnswer: -4\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0*o**3 + 0 + 3\/2*o**2 - 1\/4*o**4 + 20*o. Factor n(w).\nAnswer: -3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -1)**2 + (sqrt(3) - (sqrt(300) - (sqrt(300) + (sqrt(300)*-1 - sqrt(300))**2))).\nAnswer: -7*sqrt(3) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -5, 1\/10, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**3\/3 + b**2 + 2*b - 14. Suppose 7*s - 11*s = 0. Let m be a(s). Solve 5*v - h - 6 + 0 = 0, 5*v + m*h - 18 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123514 (base 7) to base 4\nAnswer: -11211232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -31*x**3 - 2*x**2 + 4*x - 1. What is the hundreds digit of n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3125 (base 6) to base 2.\nAnswer: -1010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1517 divide 42356784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (3 - (-69)\/(-12))) + (-19568484)\/(-144) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let o(q) = 2*q. Let s(b) = 2*o(b) - 2*r(b). Let j(u) = 105 + 289 + 11*u - 12*u - 296. Give j(s(n)).\nAnswer: -2*n + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24873 divided by -5.\nAnswer: -24873\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133588 + 1217981 = 237*n + 220702. Is n smaller than 8990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(700) - (2 + sqrt(700) + sqrt(700)*-1 - sqrt(700)))**2 + 1*(sqrt(700) + 0)).\nAnswer: -2804 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from dzjdvzbi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -6*sqrt(117))*-2.\nAnswer: 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let n = w - -4. Let x be (-16)\/24 + 0 - 0. Which is the nearest to n? (a) x (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 628, 1338, 2586, 4552, 7416, 11358, 16558?\nAnswer: 23196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3533252 divided by 1.\nAnswer: 3533252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y + 1. Suppose -390*b + 125085 = 305*b - 230*b. Calculate the remainder when b is divided by h(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**2 + 7*y + 9. Let w(t) = -3*t**2 + 2*t - 1. Let g(l) = -a(l) - 3*w(l). Give g(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 60*a**2 - 505*a + 89. Let l be c(68). Round l to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**5\/120 + 13*q**4\/16 + 55*q**3\/3 + q**2 - 8*q. Factor t(a).\nAnswer: -(a - 44)*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10*m**(-1\/2))**(-39)\/(m**(2\/13)\/((m\/(m\/(m\/m**(1\/5)*m)))\/m)*m\/m**(-6)*m\/(m*m*m**(2\/3))) assuming m is positive.\nAnswer: m**(-146323\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) - sqrt(119)*2))\/sqrt(7) + sqrt(119)\/sqrt(63)*-1.\nAnswer: -19*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08506 rounded to 3 decimal places?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -11696891.\nAnswer: -2\/11696891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 658*p\/5 - 2940.\nAnswer: 2*(p - 21)*(p + 350)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003705411 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -50, 1, 5 in decreasing order.\nAnswer: 28, 5, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 56*u**2 + u - 6 + 2*u**3 - 3*u**3 - 49*u**2. Is 21 a factor of k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -31*t + 13715. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*h**2 + 10*h**2 - 3*h**2 - 4*h**3 + 4*h**2 + 53*h wrt h?\nAnswer: -24*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/19, 2\/19, 5\/4 in descending order.\nAnswer: 5\/4, 7\/19, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = 41*s - 46*s. Suppose 70*f - s*f + 260 = 0. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54497316 and 19788?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-95*b + 20*b - 109*b)*(-b + 7*b + b) + (-b + 0*b - 1 + 0*b)*(2*b - 3*b - b) in the form j*b + n + k*b**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 4*c + 6. Let v be s(6). What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2299557 or 2299533?\nAnswer: 2299533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -9.7. Let r = d - -1.1. Let q = 72 - 431\/6. Which is the third smallest value? (a) r (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.369 - 1.465. Let a = y - -2.9593. What is a rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45140 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2. Let l(r) be the third derivative of 0*r**3 - r**2 + 1\/30*r**5 + 0*r**4 + 0 + 0*r. Give m(l(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 7*p - 28 + 45 = 0, -h - 6*p - 1 = -4*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 30681.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 270*y**2 + 3 + 2 - 3.\nAnswer: -270*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*i - 2879998, -5*i + 3*m + 3599998 = m. What is i rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 52, 75, 118, 187, 288, 427?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 9*n - 185. What is k(-23)?\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 5:21 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7213621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 14*a**2 + 3. Let j be r(14). Solve 2*n + 8 = t, 4*n - j*t - t = -24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 117.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let j be 2\/(-5)*425\/680. Sort g, j, -4.\nAnswer: -4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 4*d - 23. Calculate the remainder when z(-9) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(32)\/sqrt(4)))**2 - (sqrt(5) + sqrt(20)*-5)**2) + -3 - ((sqrt(10)*3*1)\/sqrt(2)*1)**2.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-16))\/g*g)**(-40) assuming g is positive.\nAnswer: g**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-5)\/(-50))\/(2\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(126)\/sqrt(12))\/(sqrt(72)\/(sqrt(36)\/sqrt(3))).\nAnswer: sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148951400 is divided by 74475699.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + 7 - (1 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {e: 1, x: 5, n: 5}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28761635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 754*s**6 - 4863*s**5 - 78707607*s**2 - s + 2 wrt s?\nAnswer: 90480*s**3 - 291780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/8*-4 + 124 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 2 = 0, 0 = -5*j - 2*h + 424. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-14))**(13\/4)\/(h\/(h\/(((h*h**(-2\/21)\/h)\/h)\/h)*h*h))**23 assuming h is positive.\nAnswer: h**(4363\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**3 + 839*m**2 - 44*m - 314. What is f(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167958967?\nAnswer: 11, 15268997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4349 (base 10) to base 11.\nAnswer: -32a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85994965.0000365 - -85994881. Let j = n + 84. What is j rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 157 - 55. Let d = q - 12. Sort -3, 3, d.\nAnswer: -3, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 14 = f, -9*f - 14 + 12 = 3*c - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -425*u - 12326. What is t(-29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z. Suppose -87 = -5*x - 27. Let r(i) = -8*i + 21*i - x*i. What is q(r(m))?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-117)\/(-429)*(-1)\/3. Which is the closest to 2\/9? (a) 2\/7 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:45 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 27*a - 32. Let s = -787 + 789. Give q(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 3, d: 1, a: 2, w: 2, b: 1}. Give prob of sequence udnn.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*s = -5, -16839*r - 23*s = -16844*r + 23 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -30, -31, -30?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r - 13. Let k(m) = -9*m + 24. Let s(h) = 11*b(h) + 6*k(h). Let d(f) = f**2 + 21. Let l(z) = d(z) - 6*s(z). Is l(11) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -223*w**4 + 45*w - 10 - 2 - 86*w + 39*w as z*w**4 + l*w + f + s*w**3 + d*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 3, b: 1}. Give prob of picking 2 k and 1 l.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150954*i**2*u + 2*i**2 - 4*i*u + 2*i + 209800166*u - 2 wrt i?\nAnswer: 301908*i*u + 4*i - 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d*s**4 - 928*d*s**3 + 3*d*s**2 - 7*d - 2*s**4 - 76*s**2 + 3 wrt s?\nAnswer: -360*d*s - 5568*d - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 21\/52. Let y = -0.93 - -0.43. Which is the smallest value? (a) y (b) h (c) 2\/5 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.23 - 0.47. Let f = -6.69336 - o. What is f rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/15*-1*0\/(-6). Solve -6*m + 2*m - 4 = u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**2 + 1. Let a be o(1). Suppose -3*h + a = 2*h. Differentiate 3*s**4 + 3 - 2 - h + 3 with respect to s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - 59780\/(-36600).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-179 - -178)\/((-5)\/3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2\/7 (b) 2\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -205974\/791 greater than or equal to -259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:24 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*s + 2*t, 5*t = 2 + 23 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176*m**4*q**3 + 2*m**4*q - 2*m**3*q**3 + 9*m**2*q**2 - 33*m**2*q - 2*m*q**3 wrt m.\nAnswer: 4224*m*q**3 + 48*m*q - 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4884783259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -28) + -27 + -25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, 65, 240, 485, 800, 1185, 1640?\nAnswer: 2165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65324, 130655, 195986?\nAnswer: 261317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23925 + -23918. What is the highest common factor of 321 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254169203.\nAnswer: 197, 1290199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 125\/6. Let t = -2287 - -13801\/6. What is the common denominator of t and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*p - 374, -5*p = -p - 2*j - 748. Suppose 4*w + 13*w - p = 0. Is 35\/3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) 6 (c) -11590 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10310214 (base 5) in base 11?\nAnswer: -60288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2) + (0 + sqrt(72) - sqrt(2)).\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by 37\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98076 and 43094?\nAnswer: 2844204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 3*k + 27. What is f(-13)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 11363?\nAnswer: -11341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -165, -182, -201, -222, -245?\n\"Answer: -y**2 - 14*y - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*x + 116*x + 137*x + 18*x + x**2 - 3 to the form y*x**2 + u + l*x and give l.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3.3. Let s = 3712 - 3711. Which is the biggest value? (a) s (b) -4 (c) -1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-1)\/7) - -1. Suppose -21 = -3*p - 2*d, d + 12 = 3*p - 0*p. What is the units digit of (0 + c\/p)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.5 (c) -20 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1695304, 3390586, 5085868?\n\"Answer: 1695282*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.204, 4, -3 in increasing order.\nAnswer: -3, 0.204, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, -5*v - 3*x + 0*x = -25. Suppose f = v*g - 25, -2*g = -3*g + 4*f + 24. Put -4, g, 2 in increasing order.\nAnswer: -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from vwwwvwwvvwvvvvwvvvv.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**3\/3 - 2*g**2 - 2*g. Let n be m(4). Suppose -n*o = o - 175. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 34290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyb. What is prob of sequence yh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -24*v + 13. Solve 5*p - 15 = v*t, 2*p + 2*t - t = 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.8 (b) -6 (c) -77 (d) 0 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 2*y - 5, 0 = -4*y - 8. Let a(l) be the first derivative of l**2\/2 + 12*l + 11. Let m be a(-7). Solve 0 = 2*r + m + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, r: 8, u: 1, a: 1}. What is prob of picking 2 r, 1 t, and 1 u?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -21*i. Let c(x) = -1 + 2 + 3 + 13*x + x**3 + 5 + 9*x**2. Let r be c(-8). Let l = 32 + r. Determine m(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -211211?\nAnswer: 210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220866 is divided by 543?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. List the prime factors of (2\/4)\/(y\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + p + 2*p**2 + (1 - 2 + 0)*(-p**2 + 2*p**2 - 3*p**2))*(354 - 13*p - 354) - p**3 + 3*p - 3*p in the form j + c*p + o*p**2 + s*p**3 and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 790965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 859*y - 8690. Let z be d(14). Solve z = 10*m + 3316 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, a: 4, e: 2, v: 5, m: 2}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1327*f**2 - 8*f + 9. Is 83 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -729369\/458 + 3185\/2. Let t = o - -237\/916. Let a = -69.5 + 69.5. What is the closest to t in -0.2, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 52*q**2\/3 + 11543*q + 57240.\nAnswer: -(q - 216)*(q + 5)*(q + 159)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -186*v**4 - 2*v**3 - 2*v - 65. Let g(p) = 186*p**4 + 3*p**3 + 3*p + 65. Let l(k) = -2*g(k) - 3*x(k). Differentiate l(n) wrt n.\nAnswer: 744*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/78780 and 73\/12.\nAnswer: 78780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 5*j)*((-1 - 2*j + 1)*(1 + 17 - 2) + 0*j - 2*j + 0*j - j + 3 - 3 + (4 - 1 - 4)*(1 + j - 1)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2. Let t be b(-1). Suppose -4*k + 4*z = t*z + 8, 5*z = -3*k + 17. Calculate the common denominator of 99\/4 and 10*k\/28*13\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 53 = -0*l. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -2) + 3 - (-2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from izivirivvvviiivvivi?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12550 - -125521\/10. Which is the closest to 0? (a) t (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v - 7. Determine m(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 2585 = 5*q - 4*p, 1022 = 2*q + 4*p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 19*x + 38 = -0*f - 49*x - 14, -14 = -5*f - 3*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71519 and -241?\nAnswer: 17236079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -155, -5.\nAnswer: -155, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 5160784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 13 = -4*c - 3*l, 4*c + 5*l + 31 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 - -133425?\nAnswer: 133526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 121. Suppose -2*x + 0*x + 3*w = -23, v = -4*w. What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usv when three letters picked without replacement from {u: 8, s: 2, m: 1, w: 1, v: 2}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Suppose 0 = -3*l, 3*v - 2*v = 4*l + d. Suppose 4*c = -v*o + 3*o + 83, 115 = o - 4*c. What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 92.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 13*v**2 - 4*v + 0*v + 4*v**2 in the form i*v + p*v**2 + k and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9502? (a) 1\/10 (b) 1\/3 (c) 6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 83. Let w be (-16)\/36*3*(-162)\/12. Give f(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 3}. What is prob of sequence hh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3516, 6944, 10372, 13800?\nAnswer: 17228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 46*x + 180. Let h be o(5). Let s(n) be the third derivative of h*n**5 + 1\/24*n**4 - 7*n**2 + 0 + 1\/60*n**6 + 0*n**3 + 0*n. Give s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7989415434?\nAnswer: 2, 3, 7, 11, 13, 443413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -292703\nAnswer: -2927030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*v + 5*v - 2, 2*p = -v + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 11*o = -4*q + 1746, 5*q + 5*o - 2180 = 0. Calculate the greatest common factor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 2. Let b be p(0). Solve b*j = 3*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52777765709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 15519?\nAnswer: 17\/5173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y. Suppose y = -3*p - 3 + 9. Let g(s) = -4*s - p*s + 3*s. Let v(h) = 6*h. Give g(v(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -13*q - 129. What is o(-2)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose -l*o + 95020 = 5*f, 38251 = 4*f + o - 37754. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - -136.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -216135628.4 rounded to the nearest one million?\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 33*c - 36 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1310)\/1572 + 182\/(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**39\/(o**1*o*o**(-2)) assuming o is positive.\nAnswer: o**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49232629 and 8398?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1422)\/(-48) + 9\/24. Let z = n - 34. Let y be 2*2*z\/(-8). Solve b + 12 = -y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from yyyiyyyyyiyiyiiyyy.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 5*t - 5. Let o(c) = -2*c**2 - 3*c + 3. Calculate -3*g(u) - 5*o(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.023 - 0.046. Let f = -0.02299882 - x. Round f to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 24 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*(4 + -3) - (2 - 979) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 14*p**3 + 11*p**3 + 6*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3099 * 0.04\nAnswer: -123.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:44 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -381.473362 rounded to 0 decimal places?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - 3*t**2 - 2*t**2 + (2*t + 0*t - t + 4)*(702*t - 701*t + 46 + 18)*(-5 - 5 + 4) in the form q*t + w + c*t**2 and give q.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k - 10. Let j = -215 - -222. Determine a(j).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:13 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -251, -509, -773, -1043, -1319?\n\"Answer: -3*x**2 - 249*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 8436?\nAnswer: 649572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-62)\/(-4))\/(9\/18). Let d = -22 + c. Let o be (3\/(-3))\/(1 + d\/(-8)). Let k(h) = -h**2 + 7*h + 11. What is k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4119 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1091\/10 + 219\/2. What is the closest to g in -0.06, -1\/8, -1\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwrncnrvcvcmmvnnvcmr. Give prob of picking 1 n and 1 w.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8827?\nAnswer: 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l**2 - 56692*l + 56709*l - 2*l**3 - 8*l**2)*(2*l + l + 4*l) to the form b*l**3 + h*l**4 + z*l + j*l**2 + n and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:26 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 27296 = -2*z. Let t = -853 + z. Which is smaller: -437 or t?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 63441?\nAnswer: 63439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 386408*z**2 + 386402*z + 772812.\nAnswer: 2*(z - 193203)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22368 and 6832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53795?\nAnswer: 5, 7, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 135, 209, 283, 357, 431?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/60 + 5\/20)*-1. Which is the closest to j? (a) 5 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - n + 2*n)*(2 + 3 - 1)*(3 - 2 - 3)*(88 + 273 - 103) in the form k + x*n and give x.\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*f + 1096 - 16 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -16.7. Let o = -4.9 - m. Let u = o + 2.3. Sort -1, 1\/4, u.\nAnswer: -1, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 43\/3. Let y(l) be the first derivative of 2*l**2 + 3 + q*l**3 + 2*l. Determine h, given that y(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -35, -77, -157, -287, -479, -745?\n\"Answer: -2*f**3 - f**2 + f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1850 divide 811199100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -943, -1595, -2519, -3721, -5207, -6983?\nAnswer: -9055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 5:36 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678375911 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*h**2 - 1)*(-4 + 1 + 2) + 2*h**2 - 5 + 5 + (-3 + 3 - 2*h)*(-2*h + h + 3*h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) -0.3 (c) -6 (d) 332 (e) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -44858863 to the nearest 100000.\nAnswer: -44900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1))\/(2\/4). Let q be (0 + -3)\/(z\/2). Sort 2, q, 0 in decreasing order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 + 20*u - 30. What is l(-10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74843 is divided by 1869?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f = 92*f + 1180. What are the prime factors of f?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*p - 2544, -4*l + 5*p - 892 = -3409. Let k = l + -530. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-11) + 2\/11. Let i be (0 - (m - -2))\/(-2). Is (1 + 12)*i + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12 and 6\/4*((-1079)\/18)\/13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 57 - 16 + 10*x - 16.\nAnswer: 10*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5865 and 44776929?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 33*m + 18 + 26*m - 64*m - 22.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 16 + 6 = o, 4*v + 2 = -5*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -690*i**2. Let b(d) be the third derivative of -d**5\/30 + 307*d**2 + 7*d + 2. What is f(b(t))?\nAnswer: -2760*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.93 (c) -0.5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 802500047 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*x - 4*f, 4*x - 29 = 5*x + 5*f. Let b = 7 + x. Let v be ((-56)\/b)\/1 + -1. What is the highest common divisor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 30420 = -37*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.2 - -0.2. Let t be 23\/(-4) - 18\/72. Let k be t\/15 - 4\/(-20). Which is the third smallest value? (a) 1.2 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*o**4 + a*o**2 - 3468*a*o - 31*a + 117528*o**2 - 16*o wrt o?\nAnswer: -12*a*o**2 + 2*a + 235056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -81. Suppose -2*y - 4*j + 16 = 0, 3*y - 24 - 24 = 2*j. Calculate the remainder when x is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 + 2*q + 1. Let s be z(-1). Factor -12*i**4 - 4*i**2 + 15*i**3 + 7*i**4 - 16*i**s + 5*i**2 + 5*i.\nAnswer: -5*i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 2*r - r + (-3 + 2 + 0)*(r + 2*r - r) - 3*r - 3 + 3 + (1 + 2 - 4)*(6*r + r + r) to h + v*r and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2)**2*-1.\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 523099 to the power of 1\/2, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18090880, 36181724, 54272570, 72363418, 90454268, 108545120, 126635974?\n\"Answer: i**2 + 18090841*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42206.1 and -29.\nAnswer: -42235.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)*b**(-6)*(b*b\/b**(-1)*b)\/b*b\/b**0*((b**(-2\/7)*b*b*b)**(-3\/4))**(-34) assuming b is positive.\nAnswer: b**(4691\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, 2, 5, -5, 13\/5 in decreasing order.\nAnswer: 5, 13\/5, 2, 2\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2128 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((637\/(-22))\/49)*(-2)\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46574011 divided by 11\nAnswer: -4234001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -34. Let t = -6 - p. What is the greatest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2518666 and 78.\nAnswer: 98227974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -26622.\nAnswer: -5\/8874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.03970968 and -0.5.\nAnswer: -5.53970968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 5*i - 18, 5*a - i + 3 = 0. Suppose a = -11*z + 45 + 10. Suppose -5*x = z*q - 105, 95 = 5*q - 4*x - x. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54649 < 13061064\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 25. Let f(u) = 10*u**2 + 8*u - 5. Is f(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186.2 - -186.664. Sort -0.3, 10, t, 2\/5 in decreasing order.\nAnswer: 10, t, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 - 4 = 0. List the prime factors of 4 - -28 - (-8)\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 3, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52582904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 7*x + 14. Is (-50)\/(x + (-53)\/(-6)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089 is divided by 632?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 37*y - 31. Calculate p(-9).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 34291*p - 342986. Give g(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 425, -3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, 3, 5, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204597 and 119751.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1684516 rounded to two decimal places?\nAnswer: -9.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184.7 and -0.74?\nAnswer: 136.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2177130 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421752 - 421751.67999808. Let b = 21 - 20.68. Let w = v - b. What is w rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**3 - 2*f**2 + 2*f - 2. Let r(q) = 27*q - 187. Let w be r(7). Let i(p) = 16*p**3 - 5*p**2 + 5*p - 5. Calculate w*i(n) - 5*z(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 9074970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*w = -6 + 25, r + 9 = -3*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + 29 = 0. Let t = h - 9. Solve -3*f - 2*f = t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12609056201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.71 take away 9605509?\nAnswer: -9605446.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 + 8*l + 7. Let j be s(-6). Suppose j - 3 = 4*u. Suppose 4*n = -3*k + 32, -2 = 5*n + 4*k - u. Let t(x) = -x + 2. What is t(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 15 = j. Let d(m) = -m. Let c be d(j). Suppose c*s = -i + 62, 5*s + 5*i = 3*s + 63. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 3, r: 4, c: 4}. What is prob of picking 1 h and 1 c?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -6*s**2 - 23. Let z(c) = -4*c. What is z(v(r))?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -344\/3. Which is the biggest value? (a) -2\/19 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 7. Let c be 4\/(-18) + 4\/o. Suppose 0 = 5*n + 5*m - 220, 186 = 4*n - c*n - m. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 14) to base 9.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201\/(-3) + 3\/(-21) + ((-5280)\/(-70))\/(-11).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -0*t - 2*t - 5*c, 0 = -5*t + c + 7. Suppose -10 - t = -4*x. Suppose -x*g - 49 = -4*g. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 756 = 51*s + 71*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -646 (b) -39 (c) -775\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 15511700*v**3 - 4 - 15511719*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9688180 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:10 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*((-36792)\/16)\/(-63).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -579. Suppose 4*u = 3*d - 1787, -3*d + a = -3*u - 1234. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 10*v - 10. Suppose -20 = -v*r + 8. Suppose -3*q + 2*d = -21, -5*d = -0*d. What is the highest common divisor of q and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -418) + -9 + (-2 - -9)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43217 (base 8) to base 15\nAnswer: 5543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6)*(0 - 3 + 1)*(l**3 + 2*l**3 + 0*l**3)*(22*l**2 + 5*l**2 - 11*l**2).\nAnswer: 384*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 78. Suppose 0*d - 51 = -o*d + 3*r, 5*r - 69 = -2*d. Suppose d*h - 25*h = 9. Put 26, h, 5 in decreasing order.\nAnswer: 26, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - -2 - (24 - 5879). Suppose 4*i + 0*i - 16 = 0, -b = -5*y - i. List the prime factors of y.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46001 divided by 10.\nAnswer: 46001\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 113\/4. Let y = -3.05 + 2.55. What is the biggest value in -2, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*u + 12*u - 684*u - 196*u - 25*u - 355*u.\nAnswer: -1139*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10395\/(-22)*(-24)\/14. Is 810 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4*1)\/(8964\/(-747)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 11*y**6\/60 + y**5\/30 - y**3\/3 + 2*y**2 + 13. Let k be w(1). Solve 5*z + 4*r = 5 + 1, -4*r + k = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 10. Let q be ((-2)\/1550)\/(p\/(-1635)). Let b = 3\/62 - q. What is the third smallest value in b, -0.4, -5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.77 + 2.71. Which is the nearest to -2? (a) -5\/4 (b) -1\/5 (c) t (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 + 214\/14. Let h = n - 6. Calculate the lowest common multiple of 5 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {k: 5, i: 3, w: 8}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 15, d: 3, s: 2}. What is prob of sequence vdd?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 9. Let y = t + -17. Let g = y + 49. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 15*w + 375291 = 39*w. Is w a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j*j)**(1\/47) assuming j is positive.\nAnswer: j**(-4\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.8 - -85. Let c = 9 - p. Let w = 0.4499 - 0.1499. What is the smallest value in c, -2\/5, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c - 1. Let k(w) = w**3 + 7*w**2 - 2*w - 3. Let n(x) = -k(x) + 3*p(x). Let d be n(-5). Solve f - 3*i - 1 = -4*f, d = 2*f + 5*i - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 23*d + 38. List the prime factors of p(-20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*g**2 - 537*g + 537*g to v + q*g**2 + o*g and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 - 14*p**2 - 1259*p - 137. Calculate m(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*q + 75*q + 7*q**3 + (20 - 4*q**3 - 20)*(-19 - 4 + 8) + 0*q**3 - 2*q**3 + 0*q**3 to y*q**3 + p*q + h + k*q**2 and give y.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0 + 0 - 1 + x. Let t(y) = -12*y + 12. Let r = -14 + 24. Calculate r*l(o) + t(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Let b(d) = 1599*d - 4. Let w be b(-4). Let x be 30\/(c*2\/w). What is x rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Suppose -2*z - 4*z - 744 = 0. Let n(g) = -g + 1. Let m(d) = 93*d - 124. Let q(y) = z*n(y) - m(y). Give j(q(x)).\nAnswer: 961*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*s - f + 6, -5*s + 3*f = -8. Solve 4*g + 7 = -s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(24)*3)\/sqrt(12) - (-3 + sqrt(2) + 1 + sqrt(32)*1)**2.\nAnswer: -54 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.15, 34581, 3?\nAnswer: 34581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-4)*u*u)\/u*u\/u**(2\/5)*((u*u\/(u**(-5)\/u*u))\/u)\/u*u**(-2\/17) assuming u is positive.\nAnswer: u**(466\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:38 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 118*i + 33531. What is x(-280)?\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*f - 19, f + l - 2*l - 11 = 0. Let a be ((-4)\/(-8))\/(1\/2). Calculate the greatest common factor of a and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g. Let a(k) = k**2 + 22*k - 6. Let d(r) = r - 1. Let z(c) = -a(c) + 6*d(c). Let q be z(-14). Let t(p) = -p**2 + 28 - q. Determine o(t(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 18 = 3*a, 24 = 4*a + a + b. Suppose 3*w + 8 = a*w. Solve 2*n - n - d = 0, 2*d = -w*n - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984981?\nAnswer: 3, 328327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k\/k**(3\/5))\/k)\/k*k**(-2\/3))**(-5\/13)*((k\/(k**(-1)*k))\/k)**(-4)*((k\/(k*k**(-5)))\/k)\/k**(-7) assuming k is positive.\nAnswer: k**(433\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*p - 104 = 207*p - 5*w, 29 = -3*p + 2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*n = -0*n - 547, -4*n + 1693 = 3*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72776 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 - 14*s - 39. Let m be r(-4). Let c(b) = 85*b. Let n be c(1). Let o = n + m. What is the greatest common factor of 66 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + 4 + (-5 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153879 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 8. Let g be 1\/5 - 54\/(-5). Let n = 3 - g. Let h be p(n). What is the greatest common factor of 56 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010103220 (base 4) to base 13\nAnswer: 9a46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.128659 minutes?\nAnswer: 7719.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 11270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2. Let k(h) = 2*h + 8. Let p(n) = -n - 1. Let x(i) = -k(i) - p(i). Let o(m) = 3*x(m) + 8*y(m). Differentiate o(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 112, 43, 905?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*1 - (1 + -5). Let d(f) = -2*f**2 + 2 + v*f**2 - f - f**2. What is d(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -15, -91, -197, -333, -499, -695?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000111 - 1010100001?\nAnswer: -100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-138)\/23*((-1)\/3 - -1). What are the prime factors of 3 + -136*c\/8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83*h + 5031 + 77*h - 1418 + 4*h**2 + 8*h wrt h?\nAnswer: 8*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25214927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y - 25*y - 42*y + 102*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/76854679 or -1?\nAnswer: -2\/76854679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 148. Let s be r(-12). Let i = 67 + -61. Let w(b) = -1 + 0*b + 5*b - i*b + 4. Determine w(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48941 is divided by 2438.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*b = -26*b - 102 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 - (-8 - 3 - -4 - -29)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 52 = -4*w + 799, 5*n - 741 = -2*w. Suppose -2*i - 3*a + n = -2*a, -5*a - 273 = -4*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183641?\nAnswer: 409, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/11 >= -1009\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/2 - 5*w**3 - 11*w**2\/2 + 5*w + 4 = 0.\nAnswer: -1, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 - 26*q + 13. Let h be i(17). Suppose 4*c + 5*u - 15686 = 0, -c = 4*u + h - 5221. Suppose 0 = -5*v + c + 421. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/48925?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*y = -0 - 6, 5*f + 3*y - 46 = 0. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 13*x + 4*x**2 + 10*x - x**2 to the form c*x**2 + d + k*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 25352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -72, -213, -410, -663, -972?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 13*y**2 + 16*y - 29. What is the remainder when 34 is divided by z(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/9 and 107\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*x - 12, -5*j = 6*x - x - 15. Let s = 425\/4 - 107. What is the second biggest value in s, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.7027 + -8.2303. Let c = -83 - n. What is c rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0, 71, -4 in ascending order.\nAnswer: -4, -2, 0, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -1\/27*x**3 + 2\/135*x**6 + 0 + 0*x**5 + 9*x + 1\/189*x**7 + 0*x**2 - 1\/27*x**4. Factor r(b).\nAnswer: 2*b*(b - 1)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 - 151. Solve 0 = x*a + v + 3, 3*a + 6 = 3*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15700120\/72 - 2\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31476722?\nAnswer: 2, 2861, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2*-4)\/(12*(-7)\/112)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*d - 79*d + 108*d)*(28 - 19 - 17).\nAnswer: -576*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h - 6. Let u be h\/1 + -1*2. Suppose -3*b + 12 = 0, 1 = j + b - 4. Is j smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*u - 4*c, -106*u - 32 = -103*u - 2*c. Let a(z) be the third derivative of -z**4\/24 - 2*z**3 - z**2. Calculate a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**10)\/y*y)\/y*y\/(y*y\/((y\/y**(-5))\/y))*y*y*(y**1)**(-27) assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 21*r - 18*r. Calculate the highest common divisor of 72 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(39)\/sqrt(3))**2*1 + -4)*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 42. Let w be t(16). Let j(c) = 8*c - 45. Let k be j(w). Solve k*v + 0*v = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -109 (c) 3 (d) 2 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -62. Suppose 0 = f - 4*f + 18. Suppose -f*z + z = -20. Solve u*s + 8 = z*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -2)\/(2\/3). Let z(v) = 3*v**2 + 28*v - 20. Let n be z(-11). Suppose u*k - n = 46. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d - 42*d - 9 + 88*d.\nAnswer: d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/87183 and -11\/231577422?\nAnswer: 2084196798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y - 25*y + 40*y = 42*y - 2079 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = 2*u + w, 4*u + 21*w = 20*w + 1524. Let n = u + -1142\/3. Let -2\/3*z**3 + 0 + 0*z + 2\/3*z**5 - 4\/3*z**2 + n*z**4 = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.3 less than -0.2?\nAnswer: 38.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -2\/1625, -2\/3, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let p be 4\/14 + (-3 - s). Let y = -117 - -119. Which is the third smallest value? (a) -4 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjk when four letters picked without replacement from kkjkjjjjjkkkkjjjkkj.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 + 0 - -2. Find the first derivative of 2*a**4 + p - 49*a + 49*a wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrriirr. What is prob of sequence iir?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1003103?\nAnswer: 1003033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -0.1, -11\/3, 0.1 in descending order.\nAnswer: 0.4, 0.1, 0, -0.1, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 divided by -1?\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - -0.146. Let a = 0.06726 - t. What is a rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67373424 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397255*y**2 - 16402728*y**2 - 32098216*y**2 - 30686125*y**2.\nAnswer: -79584324*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.32 + -0.3. Suppose 0*x + 5*x - t = 477, -4*x - 3*t = -374. Let f = -759\/8 + x. Which is the second biggest value? (a) r (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 558.62534312.\nAnswer: -558.82534312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 25.13. Let w = -0.06 + v. Let n = -0.0676 + w. What is n rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**2 - 761*z - 53. Let p be t(-76). Is 63 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/8, -34\/19 in ascending order.\nAnswer: -34\/19, -1\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -47. Let u be 4\/c + (-1140)\/2975. Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(77) + (sqrt(77)*2 - sqrt(77)))*2)\/sqrt(7) + (sqrt(132)\/(1*sqrt(6)) - sqrt(22))\/(-2*sqrt(8)))*5.\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r + 5. Let b(z) = -z. Let w(i) = 4*i - 4. Let t(f) = -6*b(f) + w(f). Let c(k) = 3*n(k) + 4*t(k). What is the units digit of c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -v - 93, 5*v = 3*v - 6. Let b(j) = j**2 - 2. Let n be b(1). Let h = n - -7. What is the greatest common factor of m and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3487 and 119826\/(-29 + 8)*2\/(-3).\nAnswer: 41844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j - 1. Let z be r(1). Let x = z + 4. Let f be (-3)\/(-9)*x + 1. What is the closest to f in 0, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 8*k**7\/21 - k**6\/5 - 34*k**3\/3 - 3*k**2\/2 + 95*k - 2. Find the second derivative of d(g) wrt g.\nAnswer: 320*g**3 - 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*l = -71*l + 670 + 797. Let v(r) = -5*r**2 - 1. Let w be v(1). Let k(q) = q**3 + 5*q**2 - 7*q - 4. Let d be k(w). Solve n - l = -d*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 1 - 3*m**3 - 4*m**3 - 5*m**3. Let s(r) = -r**3 - 9*r**2 + 2*r - 12. Let w be s(-9). Let d be (-4)\/3 + (-10)\/w. Determine j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from grgggrgvvv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*p**2 - 1 + (0 + 0 + 3*p)*(3*p + 0*p - 4*p) to o + y*p + l*p**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25821, 3, -3, 4.\nAnswer: -25821, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-34)\/((y*y**(-2\/3)*y)\/(y**(-1\/4)*y)))**36 assuming y is positive.\nAnswer: y**795","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -228*n**2 - 6*n - 8*n + 223*n**2 - 116*n - 845 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 15045710 - 15045626 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c695 (base 14) to base 12.\nAnswer: 36063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3058.188 - 3058. Let o = -10293871.988000588 + 10293871.8. Let j = f + o. Round j to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/140*(-13209)\/1258)\/(9*(-2)\/32).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34423213 (base 5) to base 7\nAnswer: 2433606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*n - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 5*s + 1. Let a be y(-5). Let o be 0\/a + 1\/(-4). What is the biggest value in -1, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -58*y - 396. Let a be s(-7). Solve a = -h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)*w)\/(w*w**(-1\/5)*w))**(-4\/17)\/((w\/w**9)\/w**(-1\/2))**(2\/13) assuming w is positive.\nAnswer: w**(4189\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*b**5 - 2*b**5 + 10*b**5 + (10*b**3 - 4*b**4 - 10*b**3)*(-3*b - 4*b + 6*b).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r = 2. Suppose -3*i - 5*a + 2 - 9 = 0, i = r*a - 17. What is the units digit of (5\/(-3))\/(1\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37084590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -752760 - 24797240. What is o rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**4\/4 + 4*u**3\/3 - 5*u**2\/2 + 5*u - 41. What is w(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 4*t**4 + 2*t**4 + 3*t**4 - 17*t**3 to the form w*t**3 + m*t + j*t**2 + q + f*t**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 9*s**2 + 5*s - 10. What is the tens digit of x(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -9.3. Let d = 1 + r. Let n = -3.94 + -0.06. What is the nearest to 0 in d, 2\/5, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1684 and 32?\nAnswer: 13472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*o = -255*o + 243*o - 6188 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from dvdqqxdidqviigqgv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*0 - (4 + -4). Suppose -3*x - 4*g + 32 = 0, -59 = -5*x - 3*g - 2. Sort x, -1, -4, t in ascending order.\nAnswer: -4, -1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 5*c**2 - c**2 - 2*c**2 + 3*c**2 - 3*c**2 + (1 + c**2 - 1)*(-3 + 2 + 0) + 0 + 0 - c**2 + 0*c**2 + 4*c**2 - 3*c**2)*(-5*c + 10*c + 2*c).\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o**2 + 63*o**2 + 176*o**2.\nAnswer: 285*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1673b (base 12) in base 2?\nAnswer: -111110110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1134) - (sqrt(1134) - -1*sqrt(1134))) + (sqrt(14) - sqrt(504)*1))\/((sqrt(6) - sqrt(42)\/sqrt(7)*-4)\/sqrt(3)).\nAnswer: -14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 863*m + 4317. Give l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = 3*r. Suppose 0 = -r*c - 9 + 3. What is the common denominator of c and 2 + (-3)\/2*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**2\/2 - 1047*c\/2 - 105.\nAnswer: 3*(c - 70)*(5*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281 + -281. Suppose u = -4*r + 2*x + 12, 0 = -2*r + 4*x - 8*x + 16. Solve -3*b = -r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + (-3 - (328\/(-6))\/(-4))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 4*k**4 + 0*k**4 + (k + 0*k - 4*k)*(k**3 + 0*k**3 - 6*k**3) + k**4 + 0*k**4 + k**4 as v*k + s + b*k**2 + n*k**3 + o*k**4 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -50 (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3539 = -0*t - 2*t, 0 = -3*z + 5*t + 3553. Suppose 0 = -5*n + g + z, -11*n + 6*n + 1193 = 2*g. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679369.\nAnswer: 679369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose n = -0*i + i. Suppose v + 4*a - 236 = -3*v, i*v + a = 169. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(500) + (-2*sqrt(500) - sqrt(500)) + -3 - (sqrt(500) - (sqrt(500) - -1*sqrt(500) - sqrt(500)))*2)*-4 + 3 + 5)**2.\nAnswer: 3200*sqrt(5) + 32395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3\/4 + 25*m**2\/4 - 60*m - 315 = 0. What is m?\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h - 12. Let n(i) = -13*i - 23. Let z(r) = 11*b(r) - 6*n(r). What is the lowest common multiple of 2 and z(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_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: Three letters picked without replacement from gxgxgxx. Give prob of picking 2 x and 1 g.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**9\/84 + 17*j**5\/60 + 18*j**2. What is the third derivative of o(c) wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7129890 and -0.3?\nAnswer: -2138967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.02, -1\/4, -3, -24?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(24\/8) + (-2 - -697). What is the highest common divisor of 106 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 16*b**2 + 5*b - 10. Give t(6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v - 100. Let z be k(-8). Factor 14*f - f**2 - 20*f**3 - 7*f**2 - 4*f**z + 10*f + 8*f.\nAnswer: -4*f*(f - 1)*(f + 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 19036498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from rejrexxrxrxmregrgr?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -30. Let p be (7\/(-28))\/((-4)\/d). Which is the closest to p? (a) -5 (b) -3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2482952, -2482935, -2482918, -2482901, -2482884, -2482867?\nAnswer: -2482850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.8 + -11. Let m = y + 3.2. What is the second smallest value in 2\/9, 0.04, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4 + 5. What is the smallest value in u, -3\/7, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -32952, -8, 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4120 and 7301052.\nAnswer: 73010520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1332, -1338, -1346, -1356?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -103. Let d = j + -23. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 23. Let r = n - -206\/9. What is the third smallest value in r, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Let x = 1\/75 - -164\/75. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 4*c - 2*c)*(-c**2 - 3*c**2 + 5*c**2)*(-2831 + 5459 + 4630) as l*c**2 + z*c**3 + j + v*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 5*l - 7*j, 0 = l - 2*j + 1. Let w be (-10989)\/(-18) - ((-1)\/2)\/l. What is the highest common factor of w and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/19277 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3389 plus 12142629?\nAnswer: 12142628.6611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64341.\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 56806463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5324?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i. Let l(r) = -1 + 3 - 1. Let j(x) = x**2 + 3. Let z(q) = j(q) - 3*l(q). Give o(z(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 3*p**2 + 4*p + 3. Let l be j(4). Suppose -w - 20 = -l*w. List the prime factors of -2 + (w + 3)*3.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 + 162. List the prime factors of -1 + k + 64 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*p + 271*p + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 6. Calculate the remainder when ((-3)\/3)\/(-2)*36 is divided by n(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244930625 and 3125.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 14*z**2 - 2*z - 8. Let q(w) = w**2 + 3*w - 83. Let m be q(8). Let v(r) = -9*r**2 + r + 5. Determine m*l(t) + 8*v(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(1 + 7\/(-4)))\/((-1)\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 7*n - 36. 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: -9.06 times 234\nAnswer: -2120.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 2696 + 3134 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2546 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 3. Let k be w(8). Suppose 3*l - k = -4*l. Let g be -3 - 6*l\/9. Let q(j) = j**2 + 3*j - 4. Determine q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -83*q**4\/4 + q - 7. Let z(j) = -j. What is a(z(k))?\nAnswer: -249*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1029*d - 1056*d + 432 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p\/p**4))\/(p*p**(-1)*p)**(-19\/5) assuming p is positive.\nAnswer: p**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 10*b + 4. Let x be q(8). Let y be 2\/7 + x\/28. Suppose 0 = 5*h - 4 - y. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-1 - 2)\/3. Let x be ((-156)\/(-8) + -17)*2. Sort -4, w, -6, x.\nAnswer: -6, -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-34) - 14\/(-119). Solve -4*t + 3*n - 13 = z, -n + 15 = -2*t - 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -18. Let k = c - -35. Is (k\/2 + (1 - 6))*-40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2057 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 1426380708 - 1426380708.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 - (-14 - (13 + -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799 - 0.45683.\nAnswer: -799.45683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 34226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025051348 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8937.6 - -10870. Round w to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkv when three letters picked without replacement from {v: 3, k: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 52. Let b(c) = 1. Determine -4*b(t) - v(t).\nAnswer: t**3 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/180 + 19*y**4\/12 - 46*y**2 - 2. Let z(i) be the second derivative of f(i). Let t(h) = 48*h. Determine t(z(s)).\nAnswer: -192*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50561 and 72230.\nAnswer: 505610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -11. Is w != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12892 and 17873?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4))**(4\/41) assuming m is positive.\nAnswer: m**(3\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 + 0*l + 0*l + 10 - 5*l**2 - 4. Let n(h) = h**3 + 2*h**2 - 3. Let y(f) = -5*n(f) - 2*r(f). What is the derivative of y(s) wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 37 = -263. Let r(u) = -12*u + 6. Let h be r(6). Let t = 24 - h. Calculate the highest common factor of t and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.2646 + -20.7245. Let p = -18 - -68. Let r = p + s. Round r to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39, 153, 345, 615, 963?\n\"Answer: 39*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 843, -14\/11, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - g + 6. What is the units digit of y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-4)*1 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 h, and 2 r when four letters picked without replacement from {h: 1, x: 2, r: 8, f: 2}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c. Let u(b) = 27*b**2 - 19*b + 4. Let x(l) = -5*r(l) + u(l). What are the prime factors of x(-3)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 9*p**2 - 60*p + 33. Give u(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1619 + 312. Is d >= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -15.8. Let d = 3.5 + p. Which is the third smallest value? (a) -2 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1125 (base 7) to base 11\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 2*b - 2664. Is (0 - b\/10)\/((-26)\/(-325)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -36.\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (352\/(-8624))\/(((-6)\/14)\/(66\/(-22)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -417 + 416.737. Let m = 0.463 + l. What is the biggest value in -3, m, 2, 0.003?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308 - 310. Which is the biggest value? (a) -3 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81\/((1\/(-6))\/((-4)\/36)). Let c be 1\/((3\/(-6))\/(-1)). Suppose 3*x - 16 - c = 0. Calculate the highest common divisor of b and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3542\/10 + 44\/55. Suppose 4*x - 3*x = w. Suppose -4*p - 5*y = -x, -p + 451 = 4*p - y. Does 30 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**6))\/f)\/f**(2\/5)*(((f*f\/((f**(-1)*f)\/f)*f)\/f)\/f)\/f**0*(f*f**(-2\/3)*f**(-3\/5))\/(f**3*f\/((f*(f*f*f**0)\/f)\/f)) assuming f is positive.\nAnswer: f**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78096825 a multiple of 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*t + 9, -9 = b - 2*t - 2*t. Let a(h) = h - 4. Let g be a(b). Let j = g - -7. What is the least common multiple of 8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41534203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(5 + -2))\/(-2). Let o(a) be the third derivative of -a**6\/120 + a**5\/12 + a**4\/4 + a**3\/2 + 4*a**2. Let c be o(6). Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(1 + 3 + 2) - 1 + 1 - g + (-28 + 25 + 20)*(2*g + 0*g + 0*g).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/4 - 13\/4. Which is the nearest to -2? (a) -3 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85587154 and 5862.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 + 147220*l + 736222. Calculate z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 20?\nAnswer: -41\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let w(k) = 15*k - 4. Let c(r) = -8*r + 2. Let p(d) = 5*c(d) + 3*w(d). Let j = 5 + -6. What is j*p(o) + 4*s(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = 0. Suppose t = 3*i - 5*i + 32. Let z = i + 2. Calculate the smallest common multiple of z and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/4 - 2295*v\/2 - 32326 = 0.\nAnswer: -28, 4618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.412 - 0.312. What is the nearest to u in -5, 1, -4\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-24)\/(-460))\/(7\/10*(-108)\/189)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20681, -41358, -62035, -82712?\n\"Answer: -20677*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 571 - 388. Solve m = 18*d + 147 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(20\/(-12)) + 8. Suppose 3*q - 1117 = -2*q - l, 0 = -4*q - o*l + 902. Suppose 3*f + 176 = 4*y + 4*f, -5*y + q = 2*f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 16. Suppose 12*r = 12 + c. Suppose 3*o = -o - r*o. Solve o = i - 4*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, 1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 2*k**2 - 42*k - 36*k + 22*k.\nAnswer: 4*k**2 - 56*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*f = -68. Suppose -g - 3*k + f = 0, 4*g - 3*k + 7 = -0*k. Find the third derivative of -5*j**2 + 42*j**6 - 38*j**6 + g*j**2 wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 7*h**2 - 2*h + 6. Suppose 3*k = 5*a + 10, a + 0 = 4*k - 2. Suppose k = -5*f + 38 + 72. What is the lowest common multiple of z(-7) and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = -0*s - 5*s. Suppose -w - s + 417 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 62*l**2 - 321*l + 75. List the prime factors of o(68).\nAnswer: 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1691*a**2*o**3 - 2*a**2 + 20*a - 2*o**4 + 2 wrt o?\nAnswer: 5073*a**2*o**2 - 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.019, -2\/7, -1\/11, 0, 5 in ascending order.\nAnswer: -2\/7, -1\/11, 0, 0.019, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 4*a + 3*a. Let b(s) be the third derivative of -s**4\/3 + 7*s**2. What is b(c(o))?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-18) - 7)\/(18\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -21, 2\/7, 2\/5, 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7457 + 7467. Solve d + 22 = -5*m, -l*d - 5*m - 28 = -6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -3 in decreasing order.\nAnswer: 17, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 1)*(0 - 2 + 4)*(3*r**3 + 0*r**3 - 4*r**3)*(-3 + 8 + 0) - 2*r**3 - r**3 + 2*r**3.\nAnswer: -91*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 + 1721 = -4*o. Which is smaller: o or -319?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h + 169 = 16*h + 8 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4931734.21 rounded to the nearest 1000?\nAnswer: 4932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117357 + 69093. Let s = -474582 + 336318. Let h = s - w. What is h rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.3221.\nAnswer: 0.3221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255.8957476 - 0.0259524. Let h = 256 + j. What is h rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from flgfw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 0. Suppose 0*n - 2*n - 40 = k. Let f = n - -41\/2. What is the nearest to 1 in f, 1\/7, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/7 - 16*s**2\/7 - 45*s\/7 + 162\/7 = 0?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189345, -378679, -568009, -757335, -946657?\nAnswer: -1135975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 242 + 348 = 0. Calculate the remainder when n is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896*y**2 + 3 + 3 - 1473*y**2 - 6.\nAnswer: -2369*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (711\/(-395))\/(3\/(-2))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*20\/(-250))\/(42\/(-150)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2046 (base 9) to base 5\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 66 = -4*u - 44, l = -3*u + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 12 = 0. Let x = h + 3. Suppose x = 4*n + 6309078 - 20309078. Round n to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pap when three letters picked without replacement from xaxppxx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 133455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 428\/(-534) - (-30)\/45. Let v = -175\/1958 - f. Are v and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugii when four letters picked without replacement from giiuiggiigigggiu?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 1\/(8 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 23*x**4\/8 - 23*x**3\/6 - 2*x**2 - 18. What is the remainder when t(3) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 78\/15 + 4\/(-20). Let z(k) = 3 - 1 - k + 2 - 2. What is z(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-190)\/(-16720)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-15)\/(451\/(-22) - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + 1. What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 1 = 0. Let k = 239.9 + -226. Let d = 13.4 - k. What is the nearest to p in d, 0, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5)*x)\/x**(-1\/2))\/(x**(-2\/7))**18 assuming x is positive.\nAnswer: x**(451\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 3*k**2 + k - 1. Suppose -15*a = -29*a + 28. Give f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/(i*i\/(i*i**(-3\/11)))*(i\/i**(-6\/5))**(-18))**15 assuming i is positive.\nAnswer: i**(-5589\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*o**2\/7 + 6887564*o\/7 - 368976.\nAnswer: -4*(o - 215236)*(8*o - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -304 + -7c3?\nAnswer: -ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 26*g + 103. Let u = 8351 + -8355. Calculate q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86259 is divided by 125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 13*o**2 - 22*o + 5. Let a be n(11). Suppose -4*t - a*s + 0*s + 1498 = 0, 2*t + s = 746. Does 9 divide (-45)\/(-35) + -1 - t\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-5))\/(16\/40). Let l = z + 5. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -108, 7179, 12 in increasing order.\nAnswer: -108, 1, 12, 7179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -25*a + 1. Let f(o) = -7*o**2 - 7 + 2 + 9*o**2 - 1. Let x(m) = 4*m**2 - 11. Let q(l) = -11*f(l) + 6*x(l). Calculate q(s(t)).\nAnswer: 1250*t**2 - 100*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -6*-1*sqrt(78)) + sqrt(78)*-2*-2)\/(-1*(sqrt(96) + 2*sqrt(96))) + 0.\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(704))**2 - sqrt(704)) + sqrt(704).\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1575\/30)\/(-21))\/(1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.8. Let d = -5 + 1. Let z = 3 + d. What is the closest to 1 in 5, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -5, -3, 9875, 5 in increasing order.\nAnswer: -5, -4, -3, 5, 13, 9875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184679 is divided by 2245?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -46*h + 3. Let b(z) = 47*z - 1. Let c(i) = -5*b(i) - 4*w(i). Let v(k) = 17*k + 2. What is -2*c(l) - 7*v(l)?\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5118.3 + 5141.123. Let d = -4.206 + u. Let a = d + -0.017. Round a to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose -32 = -h - 3*o, -o = -t*h + 3*h - 42. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4, 126, -4 in increasing order.\nAnswer: -4, 1\/5, 4, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10.4*0.482\nAnswer: -5.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7074303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (3 + sqrt(1008)))**2 + (sqrt(28)\/(sqrt(100) - sqrt(4)))**2.\nAnswer: 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = i - g, i - 3*g = -15 + 42. Suppose i*c - 8*c - 6685 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13. Determine s so that -8*s**5 + d*s**5 - 2*s**4 + 2*s**2 + 13*s**3 - 5*s**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3776 and 1150692.\nAnswer: 1086253248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 0.5686?\nAnswer: 0.2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001288508151 rounded to 7 dps?\nAnswer: -0.0001289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-12*2\/(-18). Which is the fourth biggest value? (a) -2 (b) -3 (c) k (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2218*g - 1003*g + 1406*g.\nAnswer: 2621*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 2. Let i be (-3)\/((4\/20)\/(2\/(-6))). Solve 0 = -i*m - 3*o + 16, s*m - 3*o = -6*o + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197459 to the power of 1\/2, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 + 9*r**2 - 27*r - 138. Give h(-7).\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 62. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 579*q**2 + 2057*q - 1704. Calculate t(293).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, 110, 262, 414, 566?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 20*g = 0. Let w = 6 + -4. Solve -2*a + 22 = 4*t + 3*a, g = w*t + 3*a - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 14*n**2 + 16*n - 9. Let v be u(-15). Let t be (-2762)\/v + (-4)\/(-16). Let b = t + -377\/3. Find the common denominator of b and -29\/13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15)\/t*t\/(t*t\/t**7)*t**4\/(t**(2\/29)\/t))**(1\/2) assuming t is positive.\nAnswer: t**(-147\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-7))\/((-81)\/27). Let j = -19 + 18.8. What is the closest to 4 in -2\/15, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 14. Let j be g(-17). Let v be (8\/1)\/(5 + j). What is n in -4*n**5 + 83*n**3 - 83*n**3 + 4*n**v + 0*n**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*a**2 - 736*a**2 - 5*a**3 - 15*a - 13*a**3 - 85*a**3.\nAnswer: -103*a**3 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30618 - 30805. Is m not equal to -1694\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = c + 5, -26 = -3*g + c. Solve -14*z - g = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-616)\/121)\/(11 + -11 + (-4)\/22)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/9)\/(m*m\/m**14)*m\/m**(-4\/15)*m*m**(-7\/4))**46 assuming m is positive.\nAnswer: m**(49979\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, g: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**2 + 10*g**2 + 14*g**2 + 15*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.006 + 0.006. What is the nearest to q in -4, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226410 (base 9) to base 7.\nAnswer: -1104201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/((p\/(p\/(p\/((p\/p**(6\/11)*p)\/p)*p)))\/p))**24 assuming p is positive.\nAnswer: p**(912\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1671 - -1674. Solve -3*o = -3*p - o, d*p = 3*o + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 24. What is the remainder when 4 is divided by (-21)\/(-15) - 3\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 7*y + 2*y - 9. Let b be m(-11). Let a(g) = 2*g - 3. Give a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12011314403 (base 5) to base 16\nAnswer: d23564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 268*l + 1495. What is k(-89)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126472288 divided by 31618072.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 16*c - 4*c)*(-1 + 11 - 33 - 22).\nAnswer: -360*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-168) - (2\/1)\/(-16). Let s(x) be the first derivative of -x**2\/2 + 28*x - 2. What is the tens digit of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = 0, 0 = -2*q - 3*g + 290 + 397. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 1, c: 11, f: 1, j: 2}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 50653 + 19904. Let v = 48526 - w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -41. Let k be -4*(-3)\/(-102)*1. Which is the second smallest value? (a) k (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13466, 26511, 39554, 52595, 65634, 78671?\n\"Answer: -z**2 + 13048*z + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 13294?\nAnswer: 5317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 + 4*a + 4. List the prime factors of j(11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-504)\/(-15))\/14)\/(7\/6)*(-3836)\/(-822)?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmvm when four letters picked without replacement from {m: 4, d: 7, e: 4, v: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + 7 + (-15 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*q + 69 = 175*q + 71*q + 2611 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -202010 (base 3) to base 2\nAnswer: -1000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 6*y. Let b(x) = x**2 - 8*x - 4. Let l be b(7). Let f(w) = -3*w**2 + 17*w. Let r(u) = l*q(u) - 4*f(u). Factor r(d).\nAnswer: d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2518*z - 36286 + 57605 = 5991*z - 48141 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let n(o) be the first derivative of 217*o**2\/2 + 186*o + 1880. Determine 186*f(r) - n(r).\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -177. Let j = y + 103. Suppose 30 = -3*f + 6*f. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3153 and 1613.\nAnswer: 5085789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 8. Let r = 20 + j. Let p be (-2 + 502)\/(1\/r). What is p rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/4149 and 107\/48405.\nAnswer: 145215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 - 5*b**3\/2 - 9*b**2 + 10*b + 28.\nAnswer: (b - 7)*(b - 2)*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-s**2 + 3*s**2 - s**2) + 67 + 17*s - 69 + 79*s**2 - 16*s to h*s + g*s**2 + l and give g.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -908\/7*s**4 + 0*s + 0 + 51980\/7*s**3 - 51076\/7*s**2 + 4\/7*s**5.\nAnswer: 4*s**2*(s - 113)**2*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z = 2*z - 611, -o + 209 = z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*g + 251*g**2 + 5 - 352*g.\nAnswer: 251*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -12. List the prime factors of (0 - -7)*6\/l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351412674 to the power of 1\/3, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1063053.6 to the nearest 1000.\nAnswer: 1063000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2853 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (80 - 225) + 75?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053175937 to 4 decimal places.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5488*i**4\/5 + 130536*i**3\/5 + 5628*i**2 + 2014*i\/5 + 48\/5.\nAnswer: -2*(i - 24)*(14*i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-3)\/28 - 620\/(-7). Suppose x*d = 83*d + 150. Solve 5*b - 3 = 2*i, 0*i + d = -5*i - 5*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 50 = 18*h. Let j(z) be the third derivative of 1\/40*z**6 + 1\/210*z**7 + 0*z**3 + 1\/24*z**4 + 0 + 0*z + 1\/20*z**5 + 2*z**h. Factor j(u).\nAnswer: u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113\/(113\/2))\/((-104)\/65*2\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164*i**4 - 39*i.\nAnswer: 1968*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -23*m - 43 + 8*m + 9*m - 22*m. List the prime factors of b(-9).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 5 = 41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 - 4199*f - 201090. Calculate v(-45).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 976490 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.063 - 36.737. Let f = 37 + s. What is the third biggest value in 0, -6, f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1006 and 4024?\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*u + 136*u - 19 = -5*n - 134*u, n - u = 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*k + 6, -k - 10 = -2*q - 3. Suppose 2*h + 114 = q*u, 3*h - 6*h = 3. What is the third derivative of -u*y**4 - 5*y**4 - 20*y**2 + 5*y**2 wrt y?\nAnswer: -792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96329 plus -1.9?\nAnswer: -96330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -232, -231, -230, -229, -228?\n\"Answer: h - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {n: 2, u: 1, p: 6, s: 4, h: 4, d: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 - 13?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/84*0)\/((-4)\/(-2)). Which is the smallest value? (a) z (b) -6 (c) -1 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 8*m**2 + 3*m - 13. Let v = -40 - -48. Let z be w(v). Round z to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 - 92. Let y = l + -46. Suppose -c**y - 1\/3*c**5 + 0*c + 1\/3*c**2 + c**4 + 0 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*s + 1, -5*n = s - 6 + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:52 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*o + 14 - 2, -k + 9 = -3*o. Solve k*c - 5*l - 15 = c, 13 = 5*c + 3*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*k = -215, -k = -2*h - 11 + 208. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**36)**(1\/18) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2747 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1753845, 3508476, 5263107, 7017738?\n\"Answer: 1754631*u - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t**4 + 854*t**3*x - 2*t*x + 3*t + x - 156 wrt t.\nAnswer: 60*t**2 + 5124*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1624 and 196098.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1165*u + 15 = 1166*u. Suppose u = 7*g - 2*g. Factor 1\/7*s**g + 0 + 0*s - 1\/7*s**5 + 1\/7*s**4 - 1\/7*s**2.\nAnswer: -s**2*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-60)*16)\/((-4738)\/115).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2882505*i**2*k**3*u - 3*i**2*k**3 + 53*i**2*u + 329*i**2 + 44802*i*k**3 - 2*i wrt u.\nAnswer: 2882505*i**2*k**3 + 53*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (1 - 4))*3. Suppose i*r - 5*r = 2*a - 45, -5*r = a - 17. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:58 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -5*m**4\/12 + 3*m**2 - 3*m. Let d(r) = -31*r**2. Give d(f(k)).\nAnswer: -3100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1537 + 24a?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58869\/(-425165)*10\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from yqttd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 11435 + 3929. Let p = 34651\/6080 - -1\/1216. What is the common denominator of o\/(-312) + (-8)\/(-52) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/16 and -27\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30063969 * 3.\nAnswer: -90191907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017 divided by 113?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 - 0 - (-4 - -2). Let b = 16 + n. Suppose 2*z + 3*z = b. Solve 2*r = 1 + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**3 - 21*a**3 - 21*a**3 - 21*a**3 - 23*a**3 + 114*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13. Which is the third smallest value? (a) s (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 = -3*x, 3*a - 2*x - 13 = 1. Suppose t + p - 4 = 9, -2*t - 4*p + 30 = 0. Solve -5*r + t = -a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3631 * -0.4\nAnswer: -1452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 3*m**2 + 2*m - 5. Let c be -8*(3 + 5\/(-2)). Let x be k(c). Solve 2*r - 4 = -j, j + x*r = 2*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.1. Let p = -6 - -5.6. Which is the closest to 2\/9? (a) p (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 11*t - 345. Calculate the remainder when 190 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 17*m - 4. Let p be o(1). What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9535 is divided by 4693?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 14.2 (c) -0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 133, 343, 637?\n\"Answer: 42*m**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - 0.14. Let r = -0.1 - j. Let l = 2347\/9 - 261. Which is the closest to r? (a) l (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673b7 (base 14) to base 11.\nAnswer: 161195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 3*c**2 - 3*c**2 + (2*c - 4*c + c)*(2*c**3 + c - c) + 14*c**4 + 14*c**4 - 30*c**4.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268 divided by 1822.\nAnswer: -134\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1350, 2347, 3344, 4341, 5338?\n\"Answer: 997*x + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 66210.11 nanoseconds?\nAnswer: 0.00006621011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 5*n**3 - 3*n**3)*(-3*n - 2*n**2 + 3*n)*(64 - 3 + 72).\nAnswer: 532*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let z(n) = n - t + 4. What is the units digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Suppose -3*n + 8*l - 26 = 4*l, 0 = 3*n + l + 1. Let k(a) = -7*a. Determine n*k(p) + 5*m(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43926.2ml to litres.\nAnswer: 43.9262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -13. Let y be 8 + 4\/(8\/(-2)) - 2. Sort x, 2\/13, y.\nAnswer: x, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306999 and 1788633?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**4 - 2*i**4 + 6*i**4)*(-1 + 3 + 0) + 2 - 21*i**4 - 115*i + 230*i - 113*i to the form y*i**4 + r*i**2 + g*i**3 + u*i + n and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*d + 185, 2*r - 5*d + 28 = -37. Calculate the common denominator of r and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l. Let q(a) be the second derivative of 23*a**3\/3 - 1775*a. Calculate q(m(u)).\nAnswer: -506*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-14))\/(133\/98)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101972, 407885, 917722, 1631489, 2549192, 3670837, 4996430?\n\"Answer: x**3 + 101956*x**2 + 38*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 0.1. What is the third biggest value in -1, 4, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31221 - 13?\nAnswer: 31202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 54*l**2 - 49*l - 64. Is n(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 4708*r\/5 + 2770658\/5.\nAnswer: 2*(r + 1177)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -7. Let y = b + 96. What is the remainder when y is divided by ((1 - 1) + 4)*((-105)\/(-140) + 7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(6 - 200\/16). Which is the closest to 0.4? (a) -1\/4 (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -117*b**2 - 549*b + 3. What is x(-9)?\nAnswer: -4533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*m - 6034*h**2*m**3 - 8*h**2*m**2*w + 27*h*m**3*w - 4*h*m*w - 3*h*m - m**3 + 40*m**2*w + 18*w wrt h?\nAnswer: 6*h*m - 12068*m**3 - 16*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 0. Suppose -2*p = -4*f + p + 6, -4*f = -p - 2. Let a be (-3 + f)*(-2)\/(-54). Sort 0.3, a, t in increasing order.\nAnswer: t, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/6 (b) -1\/4 (c) -0.064 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 34 = 3*q, i + 0 = -2. What is the remainder when q is divided by 38\/10 + -3 + (-48)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2734 - -7241. Suppose -31 + 6 = -5*x, -3*f + l = -x. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77*1064\/6468*-3\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1548854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6*s = -2*k + 49, -6*k + 2*s + 126 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -162170 greater than or equal to -162170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50335\/4 - -22499809\/1788. What is the common denominator of l and 62\/15?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 1871200.\nAnswer: 50522400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + d - 4. Give x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 5 = -27*n, -4*h = -11*n - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(q**2 + 3*q**2 - 3*q**2) - 6*q + 6*q - 5*q**2 - 20*q**2 + 2 + 13*q**2 - 3.\nAnswer: -13*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11889?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 258069420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*15\/(-108)*(-72)\/90?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 117 - 5694 = 0. Let h = 513 - l. Let f(q) = 10*q - 6. Let a(o) = o - 1. What is h*a(k) - f(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pffp when four letters picked without replacement from {f: 4, p: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/2 + -5 + 4. Suppose 87 = 4*m - j, 7*m - 4*m = p*j + 64. What is the least common multiple of m and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 + (-15)\/(-21). Let i be 41 + (-3 - -5) + d. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 541 (base 9) to base 13\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*l + 6*c + 55, -4*c = 2*l - 10. Let f(w) = 4*w + 2. Let p be f(2). Suppose s + s = p. Calculate the remainder when l is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1444 (base 6) to base 16.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17440, 34976, 52512, 70048?\nAnswer: 87584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 32*v + 1. Let r be w(2). Let f be (5 + r\/(-15))*(-3)\/(-4). What is the third biggest value in -11, f, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 12*a**2 + 20*a + 1. What is the units digit of t(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(sqrt(468) - ((sqrt(468)*1)**2 + sqrt(468))).\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from -517216752926.\nAnswer: -517216752956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/4 + 6\/4. Let g(d) = -3*d + 9. Let o(c) = c - 2. Let r(x) = m*g(x) - 22*o(x). Let b(v) = 3*v + 7. Calculate 7*b(q) + 5*r(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m + (-1 + 4 - 5)*(m + 2*m - 2*m) + 88*m + 47 - 47)*(0*m + 0*m - 3*m**4).\nAnswer: -255*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 224 = 158 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44864 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051901 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 709?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2 - -9) + (2 - (-26 + 11) - 78))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63666 is divided by 4244.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373290 rounded to the nearest ten thousand?\nAnswer: -2370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3921543 divided by 213\nAnswer: 18411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219717 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/114079843?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -493, 4, -67 in descending order.\nAnswer: 4, -67, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11 = 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 8\/7, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10223220002 (base 4) in base 5?\nAnswer: 303233031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 14 = -4*o + 2*t, -2*t - 7 = -5*o. Solve 2*l = -o*j + 7*j - 16, -5*l = -3*j + 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -35*v**3 - v - 1. What are the prime factors of f(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8473.907um?\nAnswer: 0.8473907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 5*m + 5. Let r be y(-7). Sort r, -4, -1.\nAnswer: r, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12103442 (base 5) in base 7?\nAnswer: -650303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-3)\/(-5) + 10\/25). Solve 2*p - t + 10 = -2*t, 0 = -2*p + c*t - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 555*o - 55. Is d(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s - 51. Give k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50318, -201385, -453214, -805805, -1259158, -1813273, -2468150?\nAnswer: -3223789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 13. Suppose l - 6 - 44 = 0. What is the remainder when l is divided by t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13761 and 9174.\nAnswer: 27522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 3 - -4) + -4 + 272. What is the highest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = 118 + 8. Does 10 divide 10*(-8)\/28*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 2\/(-1)*(-532)\/(-378)*3\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(2\/7))\/t*t)\/t)**(-26)\/(t**5\/(t*(t**(2\/7)*t)\/t)))**(-34) assuming t is positive.\nAnswer: t**(2652\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -143*p**2 - 55*p. Let r(m) = -16*m**2 - m - 5. Let f(c) = 8*c**2 + 3. Let v(i) = 5*f(i) + 3*r(i). Determine 3*q(d) - 55*v(d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c**2 + 5*c - 3. Determine w(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 187*d**3 - 19 + 38.\nAnswer: 187*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 + -2 + 6. Suppose 14*u + 4623 = 4623. Suppose -4*b - 4 = 4. Sort 6, z, u, b in increasing order.\nAnswer: b, u, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685379 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 2\/115*p**5 - 18*p**2 + 1\/276*p**4 - 2\/69*p**3 + 0 - 2*p + 3\/460*p**6. Let x(r) = 0. What is r?\nAnswer: -1, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-3)\/8). What is the nearest to 0.1 in j, 0.37, -1?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -243\/4 and -62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5719 or -1475?\nAnswer: -5719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (80\/125)\/8 + (-31292)\/(-100). Which is smaller: q or 314?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148367412847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 704 and 176.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 331*w**2 - 6*w + 96. Let j(q) = -333*q**2 + 7*q - 112. Let k(r) = -7*b(r) - 6*j(r). Let t(d) = d. Give k(t(x)).\nAnswer: -319*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22305759 and -0.018647.\nAnswer: -22305759.018647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/9 - 4)*21\/28. Put 5, 2, z, 1\/3 in ascending order.\nAnswer: z, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(8\/7)*f**12*f*f**(-7\/4) assuming f is positive.\nAnswer: f**(347\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:24 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 310 - 0?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5 - 135*l**4 + 545*l**3 + 1815*l**2 - 550*l - 1680 = 0.\nAnswer: -2, -1, 1, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41324157731 + 4*l**2 - 41324157731.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 22*f**3 - f**2 + f - 2. Calculate the smallest common multiple of 6 and c(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 257 + -182. What is the greatest common factor of c and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*j = 454 - 424, -7*i - 6 = 5*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 4*w - 2*w)*(-131 + 131 + 55*w).\nAnswer: -55*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21577*l + 7456*l + 7307*l + 7183*l.\nAnswer: 369*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -27*i**3 - i**2 - i. Let a be v(-1). Let r be 11195\/(-45) + (-6)\/a. Let p = r + 452. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:46 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 19*w**2 - 34*w + 19. What is l(17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5380, 5383, 5388, 5395, 5404, 5415, 5428?\n\"Answer: y**2 + 5379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 71*q + 156. Let y(x) = -2*x**2 + 30*x + 47. Let z be y(16). Is i(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*8\/696*(-12)\/16?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 626 (base 12) to base 9\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**(-4))\/(g*((g**(-4)*g)\/g)\/g))\/(g*g*g\/(g*g*g\/(g*g*g**(-1)*g))*g)**(-9))**(-48))**25 assuming g is positive.\nAnswer: g**(-34800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/44 and -7\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4234 (base 7) to base 8.\nAnswer: -2727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 304435.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 8 = 0. Let h = l - 16. Let q be -3 + (-2 - (6 + -14)). Sort 2, h, q in ascending order.\nAnswer: h, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(68) + sqrt(68) + sqrt(68))**2.\nAnswer: -16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923*k + 905*k + 2178 = 0. Solve -29*g + k + 82 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 - 2*o**2 - 1 + 10*o**3 - 1715570*o + 1715572*o + 5*o**4 + 5*o**4 - 3*o**4 to m + q*o**3 + u*o**2 + y*o**4 + j*o and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -2*s + 4*k, -5*s + 516 = 3*k - 216. Let o = -45 + s. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r - r. Suppose -19 = -4*t + 2*t - 3*b, -2*t - 2*b + 14 = r. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5853315, -11706632, -17559949, -23413266, -29266583?\nAnswer: -35119900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/3*v + 4 + v**2 - 1\/3*v**3 = 0. Calculate v.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-15))\/((-1)\/(-2)*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 2*n**3 - 4*n**3 - 20*n**3.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = 3*o - 3864. Calculate the smallest common multiple of o and 46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 9. Calculate the smallest common multiple of j(-3) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -g + 16483, 0*g + 2*g + 2 = 0. Suppose -2*z + 5676 = 2*z + 4*j, -3*z + 4269 = -3*j. Let m = z - t. Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**2 - 3*a**5 - 3*a**5 + 0*a**2 wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278800 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 4 (c) 133\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34743916?\nAnswer: 2, 8685979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2980213 + 45401181\nAnswer: 48381394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122610899*z**2 - 31867107?\nAnswer: 245221798*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13*b**2 + 769 - 10*b**2 - 763 - 16*b. Determine i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03855 to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14083 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {t: 5, g: 6, l: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 450\/(-27)*24\/(-16). Suppose -30*r = 2*v - j*r - 14, -5*v + 64 = -2*r. Let u(s) = -s - 1. What is the remainder when v is divided by u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 2. Suppose -w - 1 = -2*w. Let y be l(w). Suppose -5*g = -y*c - 63, -5*g + 52 = -g - 4*c. Calculate the remainder when 45 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5800*k + 57999. Give s(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 1158757?\nAnswer: 69525.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d**2 - d**2)*(-d**2 + 0*d**2 - d**2) + 40*d**3 - d**4 - 40*d**3.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = -3*y, 4*n + 2*y = -0*y + 6. What is the units digit of (3\/9 + n)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + 7*h**3\/6 - h**2 + 3*h. Let n be v(6). Solve 2*p = p + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/120 - n**5\/5 - n**4\/2 - n**3\/2 + 41*n**2. What is the remainder when 19 is divided by g(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 - -61. Calculate the common denominator of -1 - (2 - s\/(-8)) and ((-189)\/(-56))\/(2\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-24\/11)*m*m)\/m*m)\/(m**(-16)\/m))\/(m**(29\/5)*m**27))**(-40) assuming m is positive.\nAnswer: m**(6592\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 4*l + 7*l)*(13*l**3 + 8*l**3 + 4*l**3) - l**4 + 2*l**4 - 3*l**4 in the form f*l**2 + h*l + c*l**4 + w + b*l**3 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 - (3 + 6)). Solve -2*f = -q - 3*q + 8, -3*q + f + 5 = z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**4\/24 + 4*l**3\/3 - 6*l**2. Let i = 0 + -3. What is the units digit of v(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**6\/3 - 7*n**4\/2 + 91*n**3\/3 - 101. What is the third derivative of o(j) wrt j?\nAnswer: 240*j**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 + 0 - 7*g**2 - 2)*(-7 - 3 + 4).\nAnswer: 90*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/2 - (-8)\/(-16). Let v(l) = 5*l**2 + 2*l - 2. Let b(n) = 9*n**2 + 5*n - 5. Give s*v(u) + 2*b(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - i + 7, 4*d - 4 - 7 = i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Let d(r) be the third derivative of r**6\/60 - r**5\/30 - r**2. Let g(c) = -d(c) - 4*l(c). Suppose g(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-36) - (-1 + 3\/(-4)). Let y be 4\/(-14) - 3*j\/(-21). Suppose y = b + 5*b - 18. What is the third smallest value in -0.1, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 11\/2*b**2 - 1\/3*b**3 - 4*b + 91. Determine x(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/10 - m**3\/2 - 7*m**2\/2 + m - 4. Find the second derivative of i(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 + 3*o**4 + 7 + 28 + (-3*o**3 + 4*o**3 + 2*o**3)*(2*o - 5*o - 2*o) as h*o**4 + w + n*o**2 + i*o + x*o**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12961326*w*z**3 - 18266*w*z**2 + 127*w wrt z?\nAnswer: 77767956*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(-1 + 66830\/67485). Let s = -3\/409 + u. Let r = 25\/132 + s. What is the closest to 0 in -1\/3, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7163.609 millimeters?\nAnswer: 7.163609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172158 (base 10) to base 16.\nAnswer: 2a07e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 144608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -4.04. Let h = y - 3.8. Let a = h - -1.8. What is the closest to 0 in 0.1, 0.3, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3)\/p**(1\/2))\/(p*p**(2\/9)*p*p*(p*p**(-2\/3)*p*p)\/p*p)*(p**(-7)*p*(p*p**(-3))\/p)**36 assuming p is positive.\nAnswer: p**(-5965\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 306913820*m - 261494268 wrt m?\nAnswer: 306913820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggpp when four letters picked without replacement from ppgy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107311, -211332, -315357, -419386, -523419?\nAnswer: -627456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 7*g = -3*g + 8, -z + 5*g - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3, 0.032, -4?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7883 > -8060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316302 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gafgfggfafgagfgg.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Suppose 45*w - 159 + 69 = 0. Let k be ((-135)\/g + w)\/(-1). Solve 2*y = -3*h + 16, -5*y - k = -8*y - 5*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17911360*t**3 + 48461244*t**2 wrt t.\nAnswer: 107468160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -2\/1859 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-6)\/(-6))*(88 - 86)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3*r**2\/2 - 24*r + 15. Calculate the remainder when 33 is divided by h(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 - 2.7. Suppose -15 = -0*v - 3*v. Sort j, 2\/13, -2\/23, v in descending order.\nAnswer: v, j, 2\/13, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/11, -1\/2, 0, -4.2 in decreasing order.\nAnswer: 4\/11, 0, -1\/2, -2, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 7497353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/11 (c) -11 (d) -1 (e) -4 (f) -34\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6365247?\nAnswer: 3, 7, 19, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11\/24*t**4 + 0*t + 2*t**2 - 2*t**3 - 1\/120*t**6 + 0 - 1\/6*t**5. Let v be r(-9). Solve v = h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 4. Let n be k(4). Let u = n + 3. Let f = 364 + -368. Sort 1, u, f in decreasing order.\nAnswer: 1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-10)\/150)\/(2\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 7*s. What is c(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2182638981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15*-535.24\nAnswer: 8028.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31862, -63706, -95548, -127388?\n\"Answer: u**2 - 31847*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*i**2 + 24184*b + 2866*i**2 + 2*i - 2 wrt b.\nAnswer: 4*b*i**2 + 24184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*c + 20 = -190*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1\/2)\/l))**(-4)\/(l\/(l**(-2\/7)\/l))**(-17) assuming l is positive.\nAnswer: l**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 59*b**2 - 219*b + 51. Calculate u(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 2*j**2 - 3376*j - 855. Differentiate z(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 180?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21\/10, 5, 1, -0.983?\nAnswer: -0.983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*j**4 - 4*j**2 - 16\/3 + 32\/3*j - 8\/3*j**3.\nAnswer: 4*(j - 2)*(j - 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -82*g - 8. Let h be d(-4). What is the greatest common divisor of 40 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4000 + -1728. Suppose -p - 31 = -7*y. What is the highest common divisor of 188 and y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1146 - 909. Calculate the remainder when z is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2056bb (base 14) to base 13\nAnswer: 2c25b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l. Let u be k(2). Let c(w) = 19*w**2 + 17*w. Let p(o) = 3*o**2 + 3*o. What is u*p(x) - 6*c(x)?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4220, 1, 5, -150, 2 in descending order.\nAnswer: 4220, 5, 2, 1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12317794 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**3 - 7*s**2 - 306*s - 4. Let n(c) = -6*c**3 - 5*c**2 - 204*c - 3. What is 7*n(p) - 5*u(p)?\nAnswer: -2*p**3 + 102*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -7, -5 in descending order.\nAnswer: 3, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4219 (base 16) to base 8.\nAnswer: 41031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*q - 2*d, -2*q - 3 - 3 = d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*g - 5*g - 19*g + (-g + 2*g - 3*g)*(0 + 2 - 3))*(-2*g**2 + 2*g**4 + 2*g**2).\nAnswer: -82*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 13 = 5*a, -5*d + 22 = -4*a + 56. Let b(f) = f**2 + 3*f - 8. Let k be b(-6). Let s = -16 + k. Are s and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {e: 3, u: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 6, c: 7}. Give prob of sequence ci.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*d - 120*d - j - 3, -3*d = -2*j - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:59 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 73 = 89 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.2 rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.00925 + -0.30925. Put 2\/3, h, -28, 1 in decreasing order.\nAnswer: 1, 2\/3, h, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 13 + 193*i - 13 - 193*i.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k**4 - k + k)*(-2*k + 2*k + k) - 4*k**2 - k**5 + 4*k**2 + 3*k**5 + 0*k**5 - 4*k**5 + (2 - 2 - k**4)*(-2 + 2 + 2*k).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 140. Let l be -2 - (-3)\/((-6)\/p). Let n = l + 32. What is the remainder when 31 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527765.762 less than 0?\nAnswer: -527765.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 34*i + 33*i = -108, 5*h + 2*i = 111. Solve 4*j = 5*t + h, -3*t + t - 5*j = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*g**3*o*p + g**3*p + g**3 + 193*g**2*o*p + 6*g*o - 733*g + 17*p wrt o?\nAnswer: 18*g**3*p + 193*g**2*p + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -0.3, 0.25, -5\/6 in descending order.\nAnswer: 9, 0.25, 0, -0.3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1044? (a) -0.4 (b) -4\/43 (c) 35 (d) 0.07 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-540)\/360*1\/((-9)\/(-6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 483960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwwh when four letters picked without replacement from {h: 2, i: 1, t: 1, g: 1, w: 2, x: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {e: 12, g: 3, i: 3, u: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -13.37 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.6, -0.697, 4\/3, 57?\nAnswer: -0.697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.72 and -114.\nAnswer: -114.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c + 2. Give h(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k*(k*k\/(k*k**(1\/9)*k)*k)\/k))\/((k**(6\/5)*k)\/((k**(1\/7)*k)\/k)) assuming k is positive.\nAnswer: k**(-1558\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 69, 73?\n\"Answer: 4*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088 = -66*x + 7*x - 2091 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:10 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = 5 - 149 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42991 is divided by 13713?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615 = 221*s - 1374 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 + -0.06. Let f = 0.023 - 3.163. Let o = 0.14 + f. Put 2, a, o in increasing order.\nAnswer: o, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84.19 + -85. Let z = 4.19 - w. What is the fourth biggest value in -1, z, 0.03, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3681*n**3 + 3670*n**3 - 7354*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8308\/7 + 1186. Which is the smallest value? (a) -5\/6 (b) x (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 15*b = 5192. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:16 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227706 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**3 + 184*c**2 + 56*c + 79. Determine d(31).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1187 and 4405 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -607*m**2 - 19424*m - 13. Calculate x(-32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -6. Let h(l) = l**2 + 4*l + 2. Let a be h(v). Let n = a - 11. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Let v(w) = w**3 + w**2. Let x(a) = 12*a**3 + 3*a**2 - 10*a. Let m(g) = s*v(g) - x(g). Find the second derivative of m(f) wrt f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 4*k**2 + 4*k - 3. Let z be g(2). Let t(n) = 2*n + 4. Let w be t(z). Let q(a) = 6*a**2 - 2*a. Does 14 divide q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 9*k - 6. Let y(x) = x**3 + 16*x**2 + 15*x - 1. Let u be y(-15). Let n = u + 9. What is the least common multiple of q(n) and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22774171 is divided by 669825.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161 + -162522?\nAnswer: -162351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 713077865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 373087 + 5?\nAnswer: 373092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3333 - 2107 = 27*x + 143*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p + 46 = 3*n + 52*p - 40*p, -2*n + 0*p - p - 41 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 + 37*j**2 - 8*j - 8. What is y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = o. Suppose 3*v = -5*t + 9, -4*t - o + 4 = 5*v. Let k = 96 + -63. What is the highest common factor of t and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030321 + -3?\nAnswer: -2030330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 2 - 8 - 11*m + 28 - 13.\nAnswer: -13*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 997 divide 1302084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8376312 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520 (base 6) in base 11?\nAnswer: a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-2\/11)*g)\/g)*g\/(g**2*g)*((g**(-6)*g)\/g)\/g*g*(g\/g**(5\/4))\/g)**(-12))**(2\/141) assuming g is positive.\nAnswer: g**(710\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 0*f + 0*f)*(-1 - 15 + 47) in the form w*f + y + p*f**2 and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdtkokk. What is prob of picking 1 o and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.38 + 1.235. Let m = 0.2235 + u. What is m rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 36. Let h = -0.2 + 0.1. What is the biggest value in h, -1\/4, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*f + 9 - 1 = 8. Let b = -53\/2 - -27. What is the closest to 5 in -8, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/16)\/(575\/(-460))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -196 (c) 0.08 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -256*b - 330. Give g(-3).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 - 3*v + 8. Suppose -599*q = -594*q - 35. Determine d(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:46 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 509053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 at most as big as 0.1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Suppose -60 = -4*z + 52. Let j(c) = 31 - 113*c**2 - 109*c**2 + z - 59. What is a(j(i))?\nAnswer: 98568*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2117 times -0.2\nAnswer: 423.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2 + 4*f**3 + 31*f + 39*f - 61*f wrt f?\nAnswer: 24*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18561.\nAnswer: 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -16*j + 19. What is the tens digit of q(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4139, -15825, -35303, -62573?\n\"Answer: -3896*w**2 + 2*w - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2148 divided by 179.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67722\/(-733655)*(-1 + (-88)\/(-78)).\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-4) - (-14 + 1). Suppose 4*h = 5*h - r. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - -12 - (-10 + 16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/98 and -15\/56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 4125 = 1661. What are the prime factors of n?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4 - 2. Is -158*(-3)\/(-12)*v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(-18 - -1 - 2). Suppose 0*w = -5*y - w + n, 3*w = 4*y - 133. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpdo when four letters picked without replacement from {l: 4, d: 6, o: 3, t: 3, p: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4437 - 4439. Which is the nearest to -2\/7? (a) 6 (b) x (c) 23 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z + 45. What is the smallest common multiple of z and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 220, 218, 216, 214, 212?\n\"Answer: -2*x + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 11:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*d - 269*d = -6525. List the prime factors of d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -290 - -6669\/23. Let o be (43\/138)\/((-3)\/6). Let u = v + o. Which is the second biggest value? (a) u (b) 1\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4 - (6 + 4)). What is the third smallest value in -2\/9, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.012, 660?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 27*n - 115*n + 41*n to the form b*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 14\/9 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10904*s**3*t - 37*s**3 - s**2*t**2 - 2*s**2*t + 3*s - 353 wrt t?\nAnswer: 10904*s**3 - 2*s**2*t - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = -t + 2292, -9164 = -4*t - 4*g. Suppose o - 2*o - 1382 = 3*f, 5*f - 5*o = -t. Is ((-3)\/6)\/(2\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/280)\/((-2)\/12). Let p = -79\/238 + s. Let d = 15 + -14. Which is the third biggest value? (a) d (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 + 0*w**2)*(w - 3*w - w) - 19*w**3 - 2*w + 11*w**3 + 10*w**3 - 2*w**2.\nAnswer: -w**3 - 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -3, 13, 55, 135, 265, 457?\n\"Answer: 2*t**3 - 5*t**2 + 3*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/12896442 and -37\/1432938.\nAnswer: 12896442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 83296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 49 (b) -1\/2 (c) 12 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l + 1. Let r(y) = 4*y**3 + 5*y - 6. Let a(k) = -5*b(k) - r(k). Determine a(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019952666 to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*p + 118 = -110 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 - 447 = -5*k + 9*z, -157*z + 156*z - 103 = -k for k.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10877 = -10877. Solve d = 21*a - 18*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 16*h**2 + 27*h + 10. Determine w(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 6)*(6 - 2 - 2) + 0 + 1 + 0)*(-4*r + 4*r + 6*r**4).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784309 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 + 2 = 5*c, 16 = 4*b. Suppose c = -0*i - i + 26. Let n = i - -7. Calculate the highest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 42. Suppose 2*o + o + m - 14 = 0, -o = -5*m - 10. Suppose o*c = 4*c. Is p(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - 247\/38.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39599 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: Do 3\/305 and 2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d + 941*d - 65*d + 36*d.\nAnswer: 947*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1800\/(-126) - 2\/(-7). Let m be g\/56 + (-29)\/(-4). Suppose m*x = 5*x - 41000000. Round x to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 2. Let n be d(4). Let c = n + -28. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(125) - (sqrt(125) + (1*(0 + sqrt(125)) - sqrt(125)))) - (-3 + 1 + sqrt(125) + sqrt(125) + 1))*-1)**2.\nAnswer: -720*sqrt(5) + 18036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1601*b + 1579*b + 514140. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 10*h**2 + 2*h - 6. Let f be b(-9). What is the remainder when 16\/10 - 6867\/f is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 28 = 3*f + f, -5*s - 7 = 2*f. Let t be (-56)\/f - (-6)\/(-18). Solve -24 + t = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1573) + sqrt(1573)) + 4 + 1 - (-6*-1*sqrt(104) + sqrt(104))\/(sqrt(8)*1*-1).\nAnswer: 5 + 73*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*g - 0*g + m, 4*g - 10 = 2*m. Let r = -1.5 + -0.5. What is the closest to 1\/4 in 4, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -155, -112, -69?\n\"Answer: 43*x - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171618*0.032.\nAnswer: 5491.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -36511 (base 10) in base 3?\nAnswer: -1212002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (21 - (4 + 18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572809.\nAnswer: 191, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257 divided by -522?\nAnswer: -473\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/419 (c) -0.1 (d) 1\/2 (e) -5\/3 (f) 2 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 3. Let z = -15 + 20. Give y(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y**4 - y**2 - 11*y**4 - 12*y**4 - 2*y**3 in the form c*y**4 + o*y**2 + m*y + s*y**3 + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)\/l)\/((l*l**(12\/11)\/l)\/l)*(l\/(l*((l\/l**(-7))\/l)\/l))**(-20) assuming l is positive.\nAnswer: l**(1176\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -49643 at least as big as -49673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 622, 1747, 3380, 5515, 8146, 11267, 14872?\n\"Answer: -z**3 + 260*z**2 + 352*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aeb + 11f?\nAnswer: c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/(-6))\/(161*69\/(-19044)))\/(110\/45).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**7\/1575 + o**6\/36 - 47*o**5\/450 + 23*o**4\/180 + 910*o**2. Factor n(q).\nAnswer: -2*q*(q - 23)*(q - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126485077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:57 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*u**2 + 30*u**2 + 64*u**5 + 4*u**2 + 71*u**5 wrt u?\nAnswer: 8100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -998 - -998. Which is the nearest to 1\/2? (a) -2 (b) y (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 + -160. Let b(o) = 98*o + 41. Is b(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 553 (b) -2 (c) -1\/10 (d) -0.04 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 1 + 4*g**2 - 2*g + 0*g**2 - 2*g**2. Let x be q(3). Suppose -y + 4 = -x. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/18)*f**16\/f assuming f is positive.\nAnswer: f**(269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52705940921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -427.8795 - -428. What is a rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -151*y**2 + 9049*y + 604. What is c(60)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + 2 + -70 + 155 + -101.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + -85. Suppose 0 = l*m - d - 2625, 5*m + 9*d - 3250 = 4*d. Suppose 1079 + m = 6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69, -0.4, 0, 0.11, 4, -0.23, 4\/15?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67230 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3141 (base 14) to base 3.\nAnswer: 102122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l**2 - 4*l**2 + 0*l**2)*(2 + 228*l - 242*l + 0) to w + n*l + y*l**3 + z*l**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.129.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16050 divided by -3950.\nAnswer: -321\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 15*w + 14. Let n be b(14). Suppose -5*x + n + 35 = 0. Suppose 0 = 4*r - x*r + 627. What is the highest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:19 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 170724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/20)\/(2\/(-5132)) - 3. Suppose 0 = 6*i - k - 82. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l + 1. Let w(v) = v**3 - 6*v**2 + 7*v - 1. Let b be w(5). Is h(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 15)*(-6)\/(-36)*-3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/(276225\/(-122174)) - ((-1)\/(15\/32) - -2).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/17)*g*g)\/g)**(2\/39)*(g**(-5))**41 assuming g is positive.\nAnswer: g**(-135877\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 37. Let w = 17 + f. Solve w*u + 6 = 4*i, 4*u + 0*u + 3*i + 11 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 60*c**4 - 232*c**3 + 268*c**2 - 80*c - 16 = 0.\nAnswer: -2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 921788a?\nAnswer: 9217894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -1\/6*d**4 + 0*d**3 + 1\/720*d**6 - 1\/120*d**5 + 0*d**2 + 0 - 2*d. Let f(k) be the third derivative of c(k). What is f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 6404926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7388.5 (b) 2\/227 (c) 2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 182?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 25 = 5*y - 3, 2*y = s + 11. Factor k**3 - k - k**2 - y*k**4 + 2*k**4 + 4*k**4.\nAnswer: k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 231. Let n be m(-24). Let i be (26 + -2)*(-4)\/(-6). What is the units digit of n + -1 + 4\/i*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880 and 6465280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 + 2*c + 6. Let k be s(-4). Let j be k\/(1 + (0 - 2)). Solve -1 = -n + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-41*q - 13*q - 48*q) as l*q + y and give l.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + c**2 - 3*c**2 - 5*c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 2*o - 1. Let x(j) = -12*j**3 + 10*j**2 - 18*j + 8. Give -18*a(h) - 2*x(h).\nAnswer: 6*h**3 - 20*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 4*k**2 - 3*k + 3. Let g be h(-3). Suppose 83 = g*w + 5*q, -4*w - 5*q + 118 = -2*q. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -33613*k**3 + 2*k**2 - 5*k - 24. Let w be f(-8). Round w to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 16*i**3\/3 + 75. Let o(z) = z**2. Give c(o(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27353.09 nanograms?\nAnswer: 0.02735309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:23 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830161.\nAnswer: 17, 47, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -2\/9 (c) -28 (d) -2\/23 (e) -2.9 (f) -0.4 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 7*h**6\/15 + 3*h**5\/4 + 233*h**4\/12 - 33*h + 2. Find the third derivative of p(i) wrt i.\nAnswer: 336*i + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 3:55 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and 1.8?\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938, -1901, -2864, -3827?\nAnswer: -4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 7\/(-3))\/(35\/(-3) + 12). Solve -5*v + 20*m + 27 = 21*m, -4*v + 28 = i*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-56) + 606\/14. Let u = c - 19. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + o + 5, 1118*o = 1114*o + 4. Let d be (-2)\/7 + (-72)\/(-7). Suppose 3*f - 5 = d. Solve s*g - 3 - 8 = -5*c, 0 = g + f*c - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112210001 - 1010?\nAnswer: -112211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*g + 578*g - 152*g**2 - 288*g.\nAnswer: -152*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -180*i + 73. Let g be t(11). Let z = -20991\/11 - g. Is 0 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14477 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1 + u - 8498*u**3 + 16995*u**3 - 8508*u**3. What is n(2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - (-20 - -6)) + -5 + 4. Let r(t) = 4*t**3 - 3*t**2. Let p be r(2). Solve p = o*l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:09 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = j - 4*w, 8 = j + 5*w - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/43034 - -1635289\/129102. Factor -2\/3*i**3 - j*i - 22\/3*i**2 - 6.\nAnswer: -2*(i + 1)**2*(i + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 18*h - 75. Let p be d(-7). Suppose l - p*a - 7 = 0, l - 6*l + 14 = -3*a. Solve -l = -2*g - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(41*40\/(1800\/45))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**5)\/x**5*(((((x\/(x\/x**(-5)*x*x))\/x*x)\/x)\/x)\/x*x)\/(x\/((x\/(x**(-5)*x))\/x*x)) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**3 + 48*b**2 + 176*b + 284911?\nAnswer: -6*b**2 + 96*b + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589408 is divided by 270?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 328814 + 0?\nAnswer: 328814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -1089\/677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*1479\nAnswer: 7395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1 (c) 2\/19 (d) -10391 (e) -3 (f) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2762 - 1703. Let d = c - 9503\/9. What is the common denominator of d and -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = o - 0*f - 1, 3*o + 17 = 5*f. Is 13 a factor of 6\/(-4)*o\/(-9)*-111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2. Let r(o) be the first derivative of -o**3\/3 + 162*o - 818. Calculate m(r(n)).\nAnswer: -7*n**4 + 2268*n**2 - 183708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005072 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/131121 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271203119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(15)\/(sqrt(6)\/sqrt(2)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 92. Solve 2 = -l*x - 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*h - 2*h - 14, 68 = -4*d + 5*h. Let y be (64\/(-12))\/(2\/(-12)). Let g = d + y. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + 0.68. Let d = i + -0.783. What is d rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16853 divided by 709.\nAnswer: 16853\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Suppose 5*b + 5*j = 0, 3*j + 6 = 3*b - i*b. Let v be (b\/(-2))\/((-1)\/(-2)). Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/60 - 5*d**4\/24 - d**3\/2 + 2*d**2. Suppose -5*p - 24 = r, -4*r - 22 = 4*p + 10. Determine v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**2 - 15*v - 28. Is 53 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 199*l**2 + 263*l + 978. Let i be k(-78). What is i rounded to the nearest 1000?\nAnswer: 1191000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2205 + 2201. Sort -2\/11, -0.4, -0.2, -34, h in decreasing order.\nAnswer: -2\/11, -0.2, -0.4, h, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*k**2 + 20 + 12 - 32 + 15*k**2.\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let t(x) be the third derivative of 131*x**7\/2520 - 31*x**4\/12 - 49*x**2. Let j(k) be the second derivative of t(k). Give d(j(f)).\nAnswer: -17161*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72.9 - 67. Let c = -0.7 + q. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -120279, -240479, -360679, -480879?\n\"Answer: -120200*h - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246 - 154 + 839)*(-3*n - 5*n - 11*n).\nAnswer: -8341*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -69 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 4 (b) 27 (c) 5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23131 + -4?\nAnswer: -23135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*c + 2*c. Suppose -t = -0*t + u - c, 0 = -t + u + 3. Solve -2*o + t*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(12) + sqrt(48) + 2)**2.\nAnswer: -16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3\/7 + 166944*d**2\/7 + 1001552*d\/7 + 1335360\/7 = 0. What is d?\nAnswer: -41730, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s - 69*s - 31*v = -129, -4*v = 3*s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 40 = 4*w + 9, 3*a = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 177*x + 176*x + 171*x - 531*x. Let y(t) = -6*t. Let c(s) = -7*s. Let n(w) = 4*c(w) - 5*y(w). What is v(n(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**1*m)**4)**26\/((m*m\/(m**(2\/3)\/m*m))**(1\/8)\/(m\/(m*m**6)*((m\/(m\/m**(-3\/7))*m)\/m)\/m*m)) assuming m is positive.\nAnswer: m**(17195\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + j**3 + 3*j - 6 - 7*j**3 + 5*j**3. Let a be t(-5). What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-1490920\nAnswer: -1490919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -2*d + 2*i, -d + 2*i + 3*i = -50 - 33 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11784)\/(-9820)*(10\/(-9)*3 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21107238, 21107239, 21107240, 21107241, 21107242, 21107243?\n\"Answer: v + 21107237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8182141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15423 - -1?\nAnswer: 15424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 11 + 14 - 164*z**2 + 30*z**2.\nAnswer: -134*z**2 + z + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 30.\nAnswer: -5, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80061064, 320244227, 720549492, 1280976853, 2001526304, 2882197839, 3922991452?\nAnswer: 5123907137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8245018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-1 - -1 - 0). Let q = 13112 - 13116. Put -77, b, q in descending order.\nAnswer: b, q, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 11595*s**2 - 11186256*s + 33663204.\nAnswer: -3*(s - 3)*(s + 1934)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002495599277 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q + 5*l + 2, -3*q - 2*l = -20. Let p(d) = 10 - d**3 - 3*d**2 + 6*d + 3*d + 9*d**2. Let u be p(q). What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191 + 48 + 231)*(-5*a - 6 + 6).\nAnswer: -2350*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - i**2 - 2*i**2 + 3*i**2 - 4*i**2 - i**2 + (-1 + 1 + i)*(-3*i + 0*i + 4*i) + 2*i**2 + i**2 - i**2)*(-15*i + 830 - 830).\nAnswer: 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146 + 213. Let g = -67.31 + w. What is g rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1\/2, 2344, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-112)*(-2120)\/(-20670)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44713 - -44712. Let w be (-4)\/3*3\/(-6). What is the closest to w in -9, 2\/9, q, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from qtqtttttttttttttttt.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 4 + -1 + -2. Suppose 3*k + s*o = 285, -2*k + 190 = -o + 5*o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(5 - -3). Suppose -p*g + 20 = g. Solve n - 4*k = -11, 2*k + 13 = n + g*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31651\/(-444)*(6 - 585\/95). Let d = i + -4\/703. Let r = 101177\/14712 - 4\/1839. Find the common denominator of d and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:20 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttkt when four letters picked without replacement from {t: 11, k: 9}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 626 (b) -4\/3 (c) 2\/15 (d) -4\/5 (e) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -138, -0.4, -0.5, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 38*p + 53. Give i(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 2, v: 1}. Give prob of sequence jj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -42*p + 11415. Calculate b(272).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c + 104. Let f be p(11). Calculate the highest common divisor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*g - 363 - 219. Which is greater: g or 165\/29?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7571712 to 2 dps.\nAnswer: 4.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 28977146.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - 39) + (2 - 11) + -19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -794 + 18375. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/19, -3\/10, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1327, -5604, -12735, -22720, -35559?\nAnswer: -51252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11374444 + 59*d**3 + 66*d**3 - 124*d**3.\nAnswer: d**3 - 11374444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -496609 * 0.24.\nAnswer: -119186.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**8\/336 - a**7\/70 - a**6\/40 - a**5\/60 - 6*a**2. Determine l so that p(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487187, 487181, 487181, 487187?\nAnswer: 487199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -719 - -722. Which is the closest to -4? (a) -0.2 (b) 2\/13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-25)\/(-10) - 148\/8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016972 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924 + (2\/10)\/(6\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*o = -5 + 36, 5*m - 38 = 4*o. Suppose 4*f = -2 - 18, 5*c - m = 3*f. Which is greater: -1\/145 or c?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(56\/(-6)) - 55\/(-35). Suppose -91 = -g*p - 13. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.7. Let b = -41374\/235 + -298\/47. Let p = -183 - b. What is the second smallest value in l, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/16)\/(-17)*16\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26066, 104248, 234546, 416954, 651466, 938076, 1276778, 1667566?\n\"Answer: -n**3 + 26064*n**2 - 3*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12) + (-10)\/(-3). Let h = 220.8 - 220. Which is the biggest value? (a) h (b) l (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.519152 to 2 decimal places.\nAnswer: -345.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168 - 300*m + 160*m + 192*m + 222 to c*m + v and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205 + -205. Suppose -2*v = c, m = c + 2*v + 3*v + 6. Solve -r**3 + 7\/5*r**5 - 9\/5*r**c - 2\/5*r + 9\/5*r**2 + 0 = 0 for r.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -28.019. Let m = a + 23.019. Let j = 22.64 - m. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -1063 = -5*c + 2*h, -2*h = -2*c - x*h + 414. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19003*b*w**2 - 690*b*w - 6*b + 4218*w**2 - 6660 wrt w.\nAnswer: -38006*b + 8436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 3?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 8. Let g = -7 + p. Differentiate 0*f**g - 2*f**4 + 0 + 2 with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25c (base 16) to base 7.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -541360 and -5?\nAnswer: 2706800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 406152*y**2 + 2030564*y - 9747168.\nAnswer: 4*(y - 3)*(y + 8)*(y + 101533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*v - 18 = -41, -2*k + 2 = v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -g + 4*k, g + 7 + 7 = 3*k. Suppose d + g = 6. Solve -d = 2*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7856956807.00000181 - -7856956744. Let n = -63 - i. Round n to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o + 34*o - 9. Suppose 6*v = o*b + 2*v - 20, v = 2*b - 5. Suppose 5*g + g - 54 = b. Solve -g = x - 3*x + 3*f, 5*x = 4*f + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 4 + (-5 - -1). Let x be v\/18 - 16\/9. Which is smaller: -1\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -49 - (3 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -33. Let v = -0.1 - 0.1. Sort -2, z, v in increasing order.\nAnswer: z, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-6) - 3)*3. Suppose l = g - 2, 2*l = -2*g + l + q. Put g, -0.3, 0 in descending order.\nAnswer: g, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473883800 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -6\/451, -1\/2, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqvvq. Give prob of sequence qvqv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -6*j**2 - 4\/3*j**3 + 165 - 8*j. Factor l(b).\nAnswer: -4*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3652 (base 7) to base 4.\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/5 - 1008*g**2\/5 - 11529*g\/5 + 27066\/5 = 0.\nAnswer: -13, 2, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14853540 - 4?\nAnswer: 14853536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(-2 - 2 + 5)*(-1 + 2 + 1).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(75) + -2*(-2*sqrt(75) - sqrt(75)))**2*-1.\nAnswer: -3724 + 490*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9685458 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o + 436*o**3 - 4*o**2 - 437*o**3 - 24 + 4*o. What is the lowest common multiple of t(-7) and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((324\/8)\/(-3))\/3*-10*1053\/1215\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 - 31*z**3 + 158 + 35*z**3 + 149.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 + 6*y + 50. Let a be u(-6). Solve -a*i = h - 16*i, 3*i = 4*h + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*z - 3*i, i + 2*i + 21 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 300?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (-32)\/(3*(-6)\/9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 0*h + h)*(3 - 3 - 93*h + 3) in the form w*h + n*h**2 + p and give n.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, -1 in decreasing order.\nAnswer: -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - d**2 + 2*d**2)*(-2*d**3 + 0*d**3 + 4*d**3) + 101*d**5 + 97*d**4 - 46*d**4 - 51*d**4.\nAnswer: 97*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 minutes before 5:49 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(1088) + 1) - (sqrt(1088) + 0 - sqrt(1088))*4)**2.\nAnswer: 16*sqrt(17) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -14, 12 in descending order.\nAnswer: 12, -14, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5 (b) -4 (c) -2\/7 (d) -3202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488 = 12*l - 764 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Let n(j) = 7*j - 6. Let s(k) = -8*k + 7. Suppose -37 = -8*h + 11. Calculate h*n(o) + w*s(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 452*m**3 - m - 2*m**4 - 1 - 461*m**3 + 0*m**2 + 2*m**2 to the form d*m**2 + k*m**3 + b*m + q*m**4 + j and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 11*k + 12. What is f(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 20.26906 hours?\nAnswer: 72968616000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*t - 0*t + 14, 0 = 2*k - 4*t + 2. Let w = -20\/27 - -2\/27. What is the smallest value in 0, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 23. Let h be (-93)\/12 + 1\/(-4). Let l be h\/(-10)*(-15)\/(-6). Which is the closest to l? (a) x (b) 0.2 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 14*a - 2. Let v(i) = i**2 - 5*i - 1. Let q(m) = 2*t(m) - 7*v(m). Let s be q(7). Suppose d + 2*d - s = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854241111 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33131003 (base 5) in base 7?\nAnswer: -2301631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(2\/(-2)). Let c = 0 - 0.1. Let g = c - -0.3. Is g != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*u**6*x**2 + 8*u**5*x**3 - 3*u**2 + 11*u*x**3 + 2*u*x wrt u?\nAnswer: 960*u**3*x**2 + 480*u**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.88? (a) 0.1 (b) 2\/3 (c) -503 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8963 and -978.705?\nAnswer: 9941.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 + 610*f + 12639. Determine p(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -55. Which is bigger: 21 or m?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 2*k. Suppose -2*c + 2 = -k*x + 3*c, 4*x = 4*c. Calculate the remainder when x is divided by 8\/12 - 0 - 1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12*16 + (10 - 2). Solve 4*n - 3*o = -4, 5*o - m = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11)*o)\/(o\/(o\/(o*o\/o**4))))\/((o*o**8)\/(o*((o\/(o\/o**(-7\/3)))\/o)\/o)) assuming o is positive.\nAnswer: o**(-314\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 2, m: 7, i: 1, z: 1}. Give prob of sequence im.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 15*d - 12 + 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0712, -7.1, -4, -0.3, 1 in increasing order.\nAnswer: -7.1, -4, -0.3, -0.0712, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeg when three letters picked without replacement from geeeeeeeegeeeg.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1445\/10710*-28)\/((-1)\/9)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10460 divided by 4.\nAnswer: -2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30431703.\nAnswer: 3, 3167, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 10, 1, 2 in decreasing order.\nAnswer: 10, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/90 + 17*f**4\/6 - 4*f**2 + 2*f - 238. Factor n(a).\nAnswer: 2*a*(a + 102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g**2 - 3*g + 69. Let j(q) = -12*q**2 + 2*q - 45. Let u(l) = 5*b(l) + 7*j(l). Calculate u(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31592895 rounded to 3 dps?\nAnswer: 0.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 14943 - 30435 - 2*c**2 + 15492.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -539 - -593. What is the remainder when 103 is divided by i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 4*z + 6. Determine c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 1570209\nAnswer: -8\/523403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 215. Let u(k) = 4*k - 217. Determine -5*f(c) + 4*u(c).\nAnswer: c + 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -2, -1\/6, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 - 2*r**2 + 4. Let c = -17 - -24. Let y(s) = -6*s**3 + 3*s**2 - 7. Let p(a) = c*w(a) + 4*y(a). Find the third derivative of p(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:54 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338213 + -123318. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4552*l**2 - 2278*l**2 - 20 - 2276*l**2.\nAnswer: -2*l**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*l + 2*s - 0*s, -12 = 3*l + 3*s. Let j = -15 - -11. Let r = -3.7 - j. What is the third biggest value in r, l, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*378\/15498\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**(-8)*v*v**3)\/(v**(2\/11)*v**(2\/23)))\/((v\/(v\/(v*v**9))*v)\/v**9*(v**(4\/5)*v)\/v**(-8)) assuming v is positive.\nAnswer: v**(3708\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.04848 times -14\nAnswer: -0.67872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/60 + m**2. Let p(y) be the first derivative of 0*y**2 - 95 + 0*y - 10\/3*y**3. Calculate p(j(x)).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4\/9 - 68*w**3\/9 + 430*w**2\/9 + 1144*w = 0.\nAnswer: -36, -11, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 129. What is the hundreds digit of p(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 e when three letters picked without replacement from {t: 1, d: 3, q: 2, e: 3, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1138*c + 3388. Calculate n(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x + 4*x)*(2 - 5 + 1)*(6*x**2 - 3*x**2 + 2*x**2).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**8\/504 + 4*h**7\/315 + 7*h**6\/60 + 121*h**2. Let s(n) = 0. Calculate n.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 2. Let m be 4\/(24\/(-30)) - 1. What is q(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -846, -3376, -7592, -13494, -21082, -30356?\n\"Answer: -843*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r + 3. Let c be j(3). Suppose 0*l - c*l = 12. Sort 2\/3, 4, l in increasing order.\nAnswer: l, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80362*a**2*z + 6*a**2 + 5*a*z - 5164*z - 8083 wrt a.\nAnswer: 160724*a*z + 12*a + 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfzrrjrimmrzrjj. What is prob of sequence rrz?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d + 1. What is the remainder when 40 - 32 - -1*23 is divided by i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 + -4. Let k = 0.5 - x. Let n = 0.023 - -0.277. What is the biggest value in -1\/3, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -4*(sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(20)\/(-1*sqrt(4)) - sqrt(5)) - sqrt(5)))))**2 - (-6*(5 + sqrt(405)*2))**2) + -5.\nAnswer: -58880 - 6560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -12*q**3 + 7*q**3 + 4*q**3 - 400 - 260*q - 3*q**3 - 56*q**2 + 0*q**3 = 0?\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3))\/(-2))\/(4\/63*(-2217)\/2956)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -650 - -15?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20916008 minus 0.4?\nAnswer: -20916008.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.3, -1443, -8 in ascending order.\nAnswer: -1443, -8, -2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + -3.3. Let d = 0.1 - 0. Let p = d + -0.1. Which is the closest to 1? (a) p (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.0457 = -2987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 318*v + 278. Let k be y(-105). Let m(s) = 5*s + 179. Determine m(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/3, 1284, -6, -0.5, 0?\nAnswer: 1284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 79*a**3\/6 - 17*a**2 - 3*a + 6. Is n(5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91981999\/16 or 5748875?\nAnswer: 5748875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 10, -4*k + 2 = -3*i + 6. Let r = 0 + 2. Let g(b) = -b - 7. Let u be g(-7). Solve u = r*q - 3*n - i, -4*n = -2*q + 10 + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 5*g + g + 0 - g wrt g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-2)*220\/15. Suppose 5*i + 13 = r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068 = -66*o - 62*o + 39*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 5. Solve 0*x - y*x + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, 0.1, 1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.53 - -0.47. Which is the biggest value? (a) 2 (b) 2\/3 (c) -2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.27583 to 2 dps.\nAnswer: -42.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(684) + 3 + -2 + -3 + 5)**2.\nAnswer: 12*sqrt(19) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/10 and -8\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121898407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258 - -261. Is 28\/17 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**3 + 61*y**2 + 2*y + 47. Determine n(-5).\nAnswer: 3062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Factor -3*j**3 + 3*j + 2*j**2 + j**2 - 1 - d.\nAnswer: -3*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:10 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79073899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9842\/28)\/((-4)\/(-8)).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.13349 years?\nAnswer: 0.213349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4729*a + 4734*a = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6169*i**3 + 13*i**2 - 10*i + 18. Let n be ((2 - -1) + 31)\/(-2). Let j be o(n). Let h = 21204352 + j. What is h rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 17 = 5*i. Suppose 3*p - i = 2*y, 5*y + 3*p + 1 = -19. Which is the second biggest value? (a) -2 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 6. Suppose 5*y = 3*m + 16, -2*m + y = -0*y + 6. Let u(x) = -29*x + 1393. Let w(l) = l - 69. Let p(o) = u(o) + 20*w(o). Give m*p(d) - 5*t(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9)\/b)**(-1\/29))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 29 = 3*q + r, 5*r = -15. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 577 - 577.1. Which is the third biggest value? (a) k (b) 2 (c) -548\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1358?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 1, o: 6, h: 5, f: 1, u: 1}. What is prob of picking 1 u, 1 e, and 1 f?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4028 = -y - 4024, 5*y - 89 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -22796442.27 to the nearest 10000.\nAnswer: -22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:11 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -7*u**2 - u**2 - 5*u**2 + 17 + 12*u**2. Let c(y) = y**2. Let f(z) = z**2. Let h(a) = -4*c(a) + 6*f(a). Give p(h(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 97*x - 6 - 200*x + 99*x. Let n(o) = 5*o + 6. What is -5*n(z) - 6*q(z)?\nAnswer: -z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7070, -7071, -7072?\nAnswer: -7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3105 and 1890?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -355 + 987. Let i = a - 615. Calculate the greatest common divisor of 136 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914069279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 262*a**2 - 10496*a + 128640.\nAnswer: -2*(a - 67)*(a - 40)*(a - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, z: 1, t: 1, l: 1}. Give prob of picking 1 k and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1035 + -1035.43. What is the smallest value in 3, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373.0024 milligrams to grams.\nAnswer: 0.3730024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 8. Let o(f) = f + 5. Calculate -5*j(h) + 8*o(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*(-3)\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 10703591?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**2 - 19*o + 3. Calculate the remainder when 288 is divided by m(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0 + 22 - 20 - 6*f. Calculate g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 4*q - 6 + q + 5*q - 4*q. Let m be d(-5). Solve -v + 9 - 3 = -a, 3*v + 5*a = -m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - c = 9 - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 6 + 4. Let q be (12\/18)\/(x\/(-24)). Solve 2*g = -q + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 13*o - 5. Let h be b(12). Solve -2 + h = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*3*4)\/(-2*sqrt(9)*4*4).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*k + 9 - 22*k - 3*k)*(-2*k - 6 + 6) in the form t*k + m*k**2 + q and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-280))\/((-183)\/(-488)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-7))**(-22) assuming l is positive.\nAnswer: l**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5605883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = s + 11, -2*i - 4 = 3*s - 3. Let j = 98 + -98.5. Which is the closest to 2? (a) j (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.101278 - 0.101278. Suppose 0*b = -3*i - b - 2, -4*i = 4*b. What is the smallest value in i, 23\/2, q, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 11*o + 15. What is the remainder when z(-10) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934.0765 kilometers in meters?\nAnswer: 934076.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3119, 24946, 84189, 199556, 389755?\n\"Answer: 3118*i**3 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 - 551?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let p(u) = u + 2. Let b(t) = -t. Let i(a) = -4*b(a) - p(a). Suppose -z = -r + 2, 4*z + 3 = 5*r + 6*z. Give r*i(m) - 2*q(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 2. Let z(s) = -1. Let p(h) = -f(h) + 2*z(h). Suppose 5*x = 3*x + 4. Let l(v) = -v + v - x*v**2 + 5*v**2. Give l(p(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 31 = 3*m, -3*a + 24 = -4*m. Let p = m - -31. Let h = p + 4. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**4 + 26*l**3 + 2*l**2 + 21*l - 1. Let d(m) = -2*m**4 + 2*m**3 + 2*m - 1. Let u(k) = 3*d(k) - f(k). What is the second derivative of u(n) wrt n?\nAnswer: 12*n**2 - 120*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 5. Let o be 2*(-1)\/(-1)*u. Let j = o + 8. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/7296 and -211\/19320.\nAnswer: 5873280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132059440.\nAnswer: 2, 5, 1650743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -122136, -244268, -366390, -488496, -610580, -732636, -854658, -976640?\n\"Answer: p**3 - p**2 - 122136*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/140*14\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 14. Let t be ((-336)\/9)\/4*-3. Suppose -3*b + 4*v + 82 = 0, -t = -2*b - 0*b - 4*v. What is the remainder when b is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (4 + 3 + -33) - 25.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9161221 is divided by 2472.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2241080, 6, -5\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 634 and 332533?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117335049?\nAnswer: 3, 13, 157, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - 1) + 2 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10459999*r**3 + r**2 - 11*r + 11. Let b be n(1). What is b rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66492 is divided by 16615.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3556)\/9779*(1 + 2*-6). Let t(v) = -v**2 - 6*v + 1. Let r be t(-5). Solve -2*o + g = -2*j - j, -r = 3*j - 3*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.26 - -0.26. Let o = 6 + m. Which is the nearest to 1? (a) 0 (b) o (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*n - 1, 0 = w - 3*w - 3*n + 5. Let o be 154\/(-33)*(-12)\/14 + 1. Solve -2*q = -o*c + 1, c + 5 = -q + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 6, 13, 20, 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3282 divided by 3?\nAnswer: -1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12390*a**4 + a**2 - 4*a + 305 wrt a.\nAnswer: 297360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 7655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27782 = -352*v - 289*v + 81188. Put v, 5, 6 in increasing order.\nAnswer: 5, 6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7519322, 7519308, 7519294?\n\"Answer: -14*l + 7519336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.685 in 1\/33, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-8 - -4))\/2. Suppose l = 2*k + 3*t - 10722, 4*k + 5*t + 3532 = 24980. Let f = -43025\/8 + k. Find the common denominator of f and -7\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -18*b + 88. Let s(d) = -11*d + b*d + 16 + d. Calculate s(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -8.2 in decreasing order.\nAnswer: 5, 4, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 619 - 4349\/7. Is -3 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkkkvkvvkvkvkvvvvk. What is prob of picking 1 v and 2 k?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - 221. Put u, -4, -36 in decreasing order.\nAnswer: u, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*w = 446 + 406 + 528 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6928, -27492, -61750, -109696, -171324, -246628?\n\"Answer: t**3 - 6853*t**2 - 12*t - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*m**3 + 2)*(4 - 5 - 1 + (-2 + 3 - 2)*(2 + 2 - 3) + 0 + 4 - 5 + 33 + 172 - 8) as v + c*m**3 + q*m + n*m**2 and give c.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -161.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*s = 289314, 388*s - 4 = 386*s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-71)\/((-1988)\/426048) + (-2)\/(2*1).\nAnswer: 5, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 164, 153, 138, 119, 96?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127\/220 + 1\/44. Let -12\/5 - 12\/5*a - o*a**2 = 0. Calculate a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 + 7*s - 2. Let l be z(6). Let i(x) = x + x - l*x. Let r(b) = -4*b**2. Determine i(r(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 33*h - 34*h = -4, 2*l - 27 = -5*h. Is l <= -1553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1163330 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g + 2735 - 5470 + 2736)*(2 + 2 - 5).\nAnswer: -8*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 168.8, 5\/2.\nAnswer: 1, 5\/2, 168.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*h + 19*h**5 + h - 7*h - 59*h**5 wrt h.\nAnswer: -800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 7*v**2 + 3*v + 11. Let g be j(6). Let q be 117\/2 + g\/(-14) - 2. Let o = q - -17. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003002 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -3733, 0, 63?\nAnswer: -3733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2\/2 + 2252. Let h(i) = -11*i**2 - 5*i. Give h(r(x)).\nAnswer: -11*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019370159 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3004128709283610 + -3004127202248633.000333. Let q = 1507035737 - g. Let f = -760 + q. Round f to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -3*j**4\/32 - 535*j**3\/8 - 26733*j**2\/2 + 26934*j - 161. Find c such that q(c) = 0.\nAnswer: -268, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*(-63)\/(-10416) + 4130\/160 - 77?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(170)*3*4)\/(-5*(((sqrt(250) - (sqrt(250)*1 - sqrt(250))) + sqrt(250) - sqrt(250)) + sqrt(250))).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.8 + 22.8. Which is the biggest value? (a) h (b) -5\/3 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-2 - 2 + 25*h - 33*h)*(-6*h**2 + 2*h**2 + 0*h**2).\nAnswer: 32*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g + 5 = 0. Let m = g + 6. Let z(f) = 5*f - 1. Let u be z(m). Solve 15 = -u*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let q(n) = -665*n**2 - 6*n - 3. Let f(m) = -4656*m**2 - 40*m - 20. Let a(i) = -3*f(i) + 20*q(i). Give a(c(l)).\nAnswer: 668*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from qgmtfcq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 1. Let t be 0 + 7 + (19 - 22). Let o(q) = q**2 - 3. Give t*o(k) + 12*v(k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**4 + 49*v**3 - 2*v**2 - 11*v - 587749 wrt v.\nAnswer: -16*v**3 + 147*v**2 - 4*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 at most as big as 3852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/3, -5, -0.5, 1\/19, 12\/19, -4\/47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4951.44 * 0.4\nAnswer: 1980.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284 by 92748.\nAnswer: 71\/23187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 37 + y**2)*(4 - 2 + 2)*(-4*y + 2*y + y) to the form v + x*y**2 + h*y**3 + c*y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100100 (base 3) to base 16\nAnswer: -fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12, -4*j + 5*v + 4 + 4 = 0. Let y = 2 + j. Let b be y\/4 - (-25)\/4. Solve 5*t - p - 16 = 0, 7 = b*t - 2*t + 5*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1229, -2569, -4017, -5573, -7237?\nAnswer: -9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-11)\/x*x)\/(x*x*x*x**11))**(-9)\/(x**(2\/5)*x*x**(2\/3))**(-45) assuming x is positive.\nAnswer: x**318","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33775 and 39565?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6)\/(6\/12*-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, a: 1, w: 3}. What is prob of sequence wawc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 531874 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1646.7 - 1647. Let i = 2 + -3. What is the nearest to 1 in k, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - a = -7*g + 15, -g - 5*a - 12 = 0. Find the first derivative of 19 + 15*r**3 - 108*r**g - 9*r**3 wrt r.\nAnswer: -306*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*o = 3, -5*n + 2*o - 20 = -27 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1084 - -1878. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8 (b) 0.5 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/7*435\/1595.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepphhppdppdhphed. Give prob of sequence epe.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*d. Suppose -4*u = d*u - 4*u. What are the prime factors of (-4 + (u - -2))*(-12 - -1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - (-14835)\/258. Suppose 20*g = s*g - 49395. What are the prime factors of g?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.41417 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -23 - -4 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 781*h**3 - 9*h**2 + 9*h + 9. Let d(m) = -195*m**3 + 2*m**2 - 2*m - 2. Give 9*d(r) + 2*v(r).\nAnswer: -193*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974891856?\nAnswer: 2, 3, 20310247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 28 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1653, -12844, -43141, -102096, -199261?\nAnswer: -344188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*z + 27347 = -1230 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 291824828.\nAnswer: -1\/291824828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 19 + 1 = 0. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 + 0 - (45 + -44)) + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -24, 551, 2 in descending order.\nAnswer: 551, 5, 3, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m*m*m)**29\/(m\/m**(-2)*m**(-4)))\/((m**(-3)\/m)**(-42))**(2\/9) assuming m is positive.\nAnswer: m**(239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14*(-6664)\/(-476)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -732.\nAnswer: -732.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4839, 10287, 15737, 21189?\n\"Answer: i**2 + 5445*i - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from stststttcttttz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3)*15\/10. Let p(i) = -i - 1. Let m be p(w). Solve 32 - m = 3*c - 4*z, 4*z = c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000104372 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)*q**14\/q)\/(q*q**(-7\/3))**25)**24 assuming q is positive.\nAnswer: q**1106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 38*y**2 - 137*y - 10. What is x(-34)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28655370 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/(12\/(-65))*(-104)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.08, 15\/56, -4, 123 in decreasing order.\nAnswer: 123, 15\/56, -4, -9.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 59*m - 172. What is the remainder when 184 is divided by a(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -167. Let r be (3 - d\/(-36))*-3. Suppose -1\/4*t + 1\/4 + 1\/4*t**3 - r*t**2 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -157797241 and 20.\nAnswer: -157797221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3*0)\/((-78)\/26))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmmlmllmu. Give prob of picking 3 l and 1 u.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.576 from 5.\nAnswer: 4.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 449?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0)*1 + 4. Put 5, s, 3 in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*h + 3*g, h - 2*g = -4*h + 21. Suppose -s + 0*s = h. Let p be s*9\/(81\/(-6)). Solve -p = -2*a + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 68. Let c = b - 9.3. Sort c, 2, 0.2, -2 in decreasing order.\nAnswer: 2, 0.2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577682 (base 10) in base 2?\nAnswer: 10001101000010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5714 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, 2, 1, -6\/7, -0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/3 (c) -0.2 (d) -94 (e) 15 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-16)*b**(1\/3)*b*b*b**(3\/7)\/b*b assuming b is positive.\nAnswer: b**(962\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 + -109. Suppose -d = -4*d - 4*c - v, d = 4*c + 16. Solve d*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and 12785.673.\nAnswer: 12785.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k - 11 + 2 + 9 to y + t*k and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71, 151, 241, 347, 475?\n\"Answer: r**3 - r**2 + 76*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3148769693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -2*u**7\/15 + 3*u**5\/20 - 31*u**2. Find the third derivative of d(m) wrt m.\nAnswer: -672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/14*(-3 - (56 + -17)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1088\/408*(-2)\/(((-5)\/(-1))\/15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Let t(r) = -r**2 + n + 5*r + 11*r + r. Let q(s) = -4*s - 1. Let f = 2 - 11. Give f*q(y) - 2*t(y).\nAnswer: 2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2963 divided by -134.\nAnswer: 2963\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010021202121121000 - 2?\nAnswer: -2010021202121121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 8*y + 4. Let c be u(-8). Let v be 23999 - 2\/c*-2. Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-6))\/((-1)\/(-9)). What are the prime factors of (-10)\/q - (-1 - 1046\/6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -75.9936. What is c rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - m + 5. Let h(o) = 21*o**2 + 3*o - 19. Let a(k) = 4*b(k) + h(k). Let z = -3 - -4. List the prime factors of a(z).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-8)*(6 - 6). Solve -2*g - 2 + u = 0, -12 = -4*o - 4*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -955896.\nAnswer: 95589.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/5*(-15)\/3. Let q(m) = -m**3 - 11*m**2 + m + 33. Let x be q(-11). Put x, 2, p in decreasing order.\nAnswer: x, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, k: 3, m: 1, o: 1}. What is prob of sequence ogg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (14 - 15) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/7, 4, -0.05?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*k = 222*k - 9581. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/1 + ((-6)\/21 - (-610)\/(-105)). Which is the nearest to 3? (a) -0.5 (b) -27 (c) n (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 18*a**2 - 19*a - 46. Let v be r(16). Let t = 128 - 65. Let j = -45 + t. What is the greatest common divisor of v and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160824 is divided by 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 762469 to the power of 1\/2, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10131 divided by -3.\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*b - 4 = -0*u, -u + b = -11. Is 15 a factor of (-741)\/(-6) - 5 - u\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**3 + 6*r**2 - 424*r + 168.\nAnswer: 2*(r - 6)*(r + 7)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-20))\/(((-3)\/5)\/3). Solve -10 = s*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.48 + -0.52. What is the closest to 1 in m, 2, -4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + -12664a?\nAnswer: -126661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -12201415412?\nAnswer: -12201415414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 232*x**4 + 660*x**3.\nAnswer: 4*x**3*(x + 3)*(x + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**4 - 5*y**3 - 16*y**2 - 5. Let h(z) = -7*z**4 + 8*z**3 + 24*z**2 + 8. Let w(u) = -5*h(u) - 8*x(u). Find the third derivative of w(b) wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*g + 2. Let s = 15 - g. Let h = s + 3. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(6\/(-8)*-2). Suppose -h = 3*j + n*h - 46, 4*j - 4*h = 8. Let w(p) = p**3 - 8*p**2 + 8*p - 4. Is w(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178? (a) 0.2 (b) 1.4 (c) -6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1314 or -1?\nAnswer: 0.1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**2 - 175*n + 123. Determine i(21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12110960 and -178.6928.\nAnswer: 12110781.3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110121 (base 3) in base 7?\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 573. Let w(j) be the second derivative of j**3\/3 - 3*j + 78. What is z(w(d))?\nAnswer: 4*d - 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - 0) + 0 - -15) + (15839 - 15824).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 + 14055*o**2 + 9898200*o + 29568240 = 0.\nAnswer: -1404, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 41 - 74*n - 20 to the form f + l*n and give l.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 95\/2*w + 35\/16*w**4 - 485\/8*w**2 + 187 - 160\/3*w**3. Factor k(s).\nAnswer: 5*(s - 19)*(s + 1)*(7*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/8 - 11*a**3\/6 + 39*a**2. Let y be (-48)\/88*(-44)\/8. Let t(m) = 2*m - 5. Calculate y*i(z) - 5*t(z).\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9 = 492*u - 494*u, -9 = -4*u + 11*h. Let j(p) = -5*p**2 - 5*p + 3. Let s(m) = -m**3 + 2*m + 0*m**2 - 1 + m**2 - m. What is u*s(r) + j(r)?\nAnswer: -5*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -20a13765?\nAnswer: -20a13762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) -66\/5 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18004896 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = z - 4, -3*z + 0*z = -12. Suppose -4*c + 4 = a, -h - h - c + 109 = 0. What is the highest common factor of h and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 19, 22?\n\"Answer: 3*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380150017?\nAnswer: 13, 29242309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 - 42 = 0. Let j be 4\/3*24\/y. Suppose -5*z - 155 = -3*i - 6*z, -3*i + j*z + 140 = 0. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16690 is divided by 2468.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -832550 or -2497654\/3?\nAnswer: -2497654\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*r = -q - 31, 4*q + r = 19. Suppose 0 = n - q*n + 6, n + 1946 = -4*o. Let a = o + 746. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3056 + 22744*i - 11374*i - 54*i**4 - 11368*i wrt i?\nAnswer: -216*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215*h**5 - 46*h.\nAnswer: -4300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46894165 and 21833?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z - 1. Let x be y(-4). Let w = 7 - 5. Let h = 0 + 3. Solve -w*l - h = x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150748 divided by -35.\nAnswer: 150748\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7704891*j**3 + 4576930*j**2 wrt j.\nAnswer: 46229346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1212 + 1244 + 10*a - 7116.\nAnswer: 10*a - 7084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 51, -3 in descending order.\nAnswer: 51, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhz when three letters picked without replacement from {l: 5, c: 5, z: 2, h: 1, q: 2, b: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 = 2*q - 39, -3*q - 4*z + 33 = 0. Let s = 37 - 22. Calculate the highest common factor of s and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 173. What is the third derivative of -234 + 233 - p*g**2 + 17*g**2 - 87*g**4 wrt g?\nAnswer: -2088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10359113 - 3513109 = 5*w - 2*q, -4*q + 4107592 = 3*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -17 (c) -1\/4 (d) -11\/9 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 7*w**2 - 7*w + 6. Let s be h(8). Suppose -10 + s = 2*r. What is the second derivative of 3*y + 22*y**r + 20 - 20 wrt y?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5420, 5, 7, -5 in increasing order.\nAnswer: -5, 5, 7, 5420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203301 + -140?\nAnswer: 203121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 870880 and 1440?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m + 16 = 0. Solve s + m*q - 2 = 0, -4*q + 8 = 3*s + s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 16. Let w be i(5). Solve m - w = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 4) + (-12)\/2. What is the units digit of (n + 4 - -618)*(-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 120 = -20*q - 2*z, -63 = -4*q - 5*z. What is the remainder when 461 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2\/3*i**3 - 4 + 1\/4*i**4 - 3\/2*i**2 + 4*i. Determine c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 5*u + 11. Let x be l(6). Let r = 7 - 13. Find the common denominator of 89\/12 and (-2)\/r + (-95)\/10 + x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(13\/2)*u**(-12))\/((u**10*u)\/u**13) assuming u is positive.\nAnswer: u**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066181066 a multiple of 3546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 >= -438\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1539, -11, 4 in increasing order.\nAnswer: -11, 4, 1539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - a - 20 = -12*r, 2*r = -2*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -550*s + 51139. What is w(93)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722886 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yccb when four letters picked without replacement from ydncncdbyybnyyy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {j: 12, q: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*p - 14, -6020284*c + 6020287*c + p = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*t**2 + 19*t**2 - 55*t**2)*(2*t**3 + t**3 + 0*t**3 - t**2).\nAnswer: -48*t**5 + 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (29428\/(-5255))\/((-7)\/(-20))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2. Suppose -t + 4 = -2. Let n(x) = t*x - 4*x - x**2 - 2*x. Calculate v(n(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*l. Suppose 4*n = c - 100, -n = -l*n + 2. Calculate the remainder when c is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(4*c**2 + 2*c**2 - 2*c**2) + 2*c**2 + 0 + 0 + (-5*c + 2*c + 2*c)*(3*c - 3*c + c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.87 + -8.97. Put 1\/5, -1\/2, -5, q in ascending order.\nAnswer: -5, -1\/2, q, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y - 10*y = -136 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*z - 3 = 3*z, -z = -5*i + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43082 is divided by 39027.\nAnswer: 4055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13331 - -1?\nAnswer: -13330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27)\/((-8)\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 0 - ((-15 - 27) + 44)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*j**2 + 29 + 10*j**4 - 2*j**3 - 14*j**2 - 13*j**2 - 28 to w*j**4 + r*j + o + i*j**2 + u*j**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4402, 4409, 4416, 4423, 4430, 4437?\n\"Answer: 7*j + 4395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 1) + -3 + 23 + (21 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 71. Suppose 4*x - b = -9. Find the third derivative of -x*n**4 + 91*n**3 - 91*n**3 + 20*n**2 wrt n.\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18337*m - 2*m**2 + 18337*m + 0 + 0.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, -2\/3, 33, -0.14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -16) + (87 + -45 - 111).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*g + 5365 + 10119. What is the remainder when g is divided by 71?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8549\/32 + 1069\/4. Which is the second biggest value? (a) 4 (b) u (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1 (c) -3.8 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n - 1 = -4*i + 83*n, 4*n = 5*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 29 = 2. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.5 rounded to zero dps?\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - v + 90 + 6*v.\nAnswer: v + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 8 = a, -4 = a - 2*d. What is the fourth biggest value in 1\/6, 0.2, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 - 284*g\/3 + 40328\/3.\nAnswer: (g - 284)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4167?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/258804 and -17\/39122538?\nAnswer: 234735228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -519*r**2 - 364*r?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 9 = -4*n - 6*x, 0 = -5*n - 3*x - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - n**2\/2 - 243*n + 1260.\nAnswer: (n - 12)*(n - 6)*(2*n + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.56844 litres to millilitres.\nAnswer: 50568.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:33 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 4, 3\/2, -1.9, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*l**2*o**2 + 4*l**2*o*p**3 + 15*l**2*o + 2*l**2*p - 85*l*o**2*p**3 - 3*l*o*p + 7*l*p**3 - 8*o**2*p**3 wrt o?\nAnswer: 50*l**2 - 170*l*p**3 - 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477 + -442. Let j be 236\/7 + 4\/14. Let k = n - j. Solve -2*r + k - 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 50 - 15*n + 56 - 168 + 56. Let m(z) = -z - 1. Let o(w) = 12*m(w) - t(w). Let j(s) = 3*s. Determine j(o(h)).\nAnswer: 9*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/6 + 13*z**3\/6 + 10*z**2 - 24*z. Let h(l) = 3*l - 9. Determine -5*g(x) - 7*h(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + (-104 - -117).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140446 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -74*x - 5\/3*x**4 - 1\/24*x**6 + 0*x**3 + 1\/2*x**5 + 0 + x**2. Factor n(r).\nAnswer: -5*r*(r - 4)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376462 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 >= -3936018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 5*f - 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = 3*r + 250. Let s be ((-10)\/(r\/(-18)))\/((-6)\/(-64)). What is the highest common factor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*o**4 + 9*o**4 + 9*o**4)*(-4 + 4 - 3 + (4 - 1 - 1)*(-1 + 2 + 3)).\nAnswer: -40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 - 174. Calculate the greatest common factor of n and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*v = -139*v + 4187 - 807 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*l + 82*l + 320959104 + 290760896. What is l rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.1. Put 0.5, -3\/7, k in ascending order.\nAnswer: -3\/7, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -26.1, -299?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scfoscn. Give prob of sequence css.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.6437 - -14.631. Sort -0.1, j, 1 in descending order.\nAnswer: 1, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2507993?\nAnswer: -2507993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.62 - 15.28. Let d = -17 - x. Is d greater than 0.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3 - 3)*(-1 + 3 + 0) - w + 5*w - 2*w + 21*w + 12*w - 80*w + (w + 1 - 1)*(-1 + 1 - 2)*(4 - 5 + 2).\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 952425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((6 - 2) + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31.6482 litres?\nAnswer: 31648.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a**2 + 33*a**2 - 73*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 20630477\nAnswer: -20630479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d - 5*d, -2*t - 6 = 4*d. Let r be -1*1\/2*18. Is 4 a factor of r\/t - (0 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*h**2*o**2*u**2*v + 2*h**2*o**2*u**2 + 2*h**2*o - 2*h*o**2*v + 6*h*o*u + v wrt u?\nAnswer: -210*h**2*o**2*v + 4*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u + 107. Suppose 8*t + 15 = -65. Is g(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704))*4 + 0.\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 30 + 255 = 0. Let n be 12\/20 - (4 - (-35)\/u). Which is the closest to -0.1? (a) n (b) 2\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130012 + -111?\nAnswer: 1123301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02978 - 12.02978. Which is greater: -23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = 16*h - 6*h. Suppose 0 = -2*j - 10, h = -2*o - 4*j + 19466. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x**3 - 5*x**2 - x + 0*x + x**3 + 2 + 1. Let u be f(5). Which is the second biggest value? (a) -4 (b) u (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 26*r + 8. Let y be c(-24). Calculate the remainder when ((-165)\/66)\/(-2*2\/y) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965645297 to the power of 1\/4, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14785\/9 + -1643. Which is the closest to 16? (a) -1\/2 (b) 5 (c) l (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*y**2 + 1 + 0 + 1.\nAnswer: 120*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405250 divided by 154?\nAnswer: -9125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -252, -2637, -6590, -12111, -19200?\n\"Answer: -784*i**2 - 33*i + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3*z - 2*z + z - 3*z + 0*z + (-3 - 1 + 5)*(-8*z + 3*z + 15*z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216909*f**3*w**3 + 2*f**3*w - 2*f**3 - 18*f**2*w**3 + 9*w**3 - 19*w**2 wrt f.\nAnswer: 1301454*w**3 + 12*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8392 + -8391. Let j(w) = -3*w**3 - 6*w**2 + 12*w - 7. Give j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by -9\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*p**2 + 544*p**2 + 36*p**2.\nAnswer: -370*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-z - 1 - 1 - z)*(-8 + 0 - 9)*(4 - 1 + 0 - 7*z).\nAnswer: 238*z**2 + 136*z - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/7*x + 2\/7*x**2.\nAnswer: 2*x*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -749203.22?\nAnswer: -749203.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000002 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 5. What is f(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 5:01 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23185 by -3.\nAnswer: -23185\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100000111111000110101 (base 2) to base 6\nAnswer: 35100033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 5*i = -54 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 981*o + 1 - 3532*o + 2549*o - 1.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730733801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 - -109. Let w = s - -245. Suppose 2*u = -4*o - w, -o + 4*u - u - 17 = 0. Is -31 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/35)\/h)\/h**2*(((h**(-4)*h*h)\/h)\/h)**(5\/4) assuming h is positive.\nAnswer: h**(-243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y**2 + 3\/2*y**4 + 0 + 0*y - 3*y**3 = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64739, -64740, -64741, -64742?\n\"Answer: -k - 64738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7\/4, -4, 32024, 1\/4, -5 in decreasing order.\nAnswer: 32024, 7\/4, 1\/4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*d**2 + 333*d**2 - 151*d**2 - 26*d**2.\nAnswer: 535*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(2*sqrt(8)))\/sqrt(6) - sqrt(50)\/(sqrt(50)\/sqrt(125)))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1581, 39, 2 in increasing order.\nAnswer: -1581, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - j + 1. Let m(p) = -5*p**3 + 2*p**2 + 18*p - 1. What is 2*g(h) + m(h)?\nAnswer: -3*h**3 + 16*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8378 = 4*i + c, c = -i - 2095. Let t = i + 3407. Round t to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 737695029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 + 6*g**2 + 3*g + 11. Give l(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 81\/(-264) + 49\/56*22\/154. Let v = -2\/359 + -1063\/2513. Let i = 2.92 + 0.08. Put i, -6\/7, q, v in decreasing order.\nAnswer: i, q, v, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 - v - 3. Let d be s(-7). Let q be 2*(-1 + 0\/d). Which is the closest to 0.3? (a) -4 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -31. Let v = r - -54. Let x = 36 - v. Which is smaller: x or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271746 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 11 = -k, 15 = -2*k + 3*b - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -227*n - 8850. Let b be d(-39). Let f = 4 + 1. Sort -1, b, f, -6 in descending order.\nAnswer: f, b, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425 + 430 + 100*p - 855.\nAnswer: 100*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*j + 9 = 0, 7 = -4*w - 5*j + 22 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1660, -2349, -3038, -3727?\nAnswer: -4416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*a + 30*a**4 - a**3 - 19*a**4 - 12*a**4 as r*a**4 + w*a + x*a**2 + y*a**3 + q and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*a - 24. What is the third derivative of 2*m**6 - 5*m**2 + 5*m**6 - a*m**6 wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299807376 less than or equal to 299807375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from odnooonon.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -5*i, i - 2 = 2*x - 4. Let m be ((-20)\/6)\/((-2)\/(-3)). Which is the nearest to x? (a) m (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00246306 rounded to 5 decimal places?\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 161300652 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3 - 4*m**2 + 0 - 22*m + 1\/12*m**4 - 7\/10*m**5. List the prime factors of l(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:26 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 23. Suppose u*w - 21 - 14 = 0. Let a be ((-112)\/21 + w)\/(1\/(-6)). Solve -2*k = -a*q + 8, 4*k - 5*q + 8 = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33760319041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 2424500*n + 46066944.\nAnswer: -4*(n - 19)*(n + 606144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.227 in -6\/13, 3\/5, -2\/75, 1?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 + k**2\/2 + 16*k + 13. What is x(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = -25*c - 739. Which is bigger: -50 or c?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u. Which is greater: u or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 468 + 6*b**2 + 468.\nAnswer: 6*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 1 + 1 + (1713*b + 13*b**2 - 1713*b)*(4*b + 0*b - 6*b).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -573 + 867. Let k = h - 139. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 3.2. Let i = -0.5 + 7.5. Let d = i + -6.9. Are n and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**2 + 11*t**2 - 45*t**2 - t**2.\nAnswer: -73*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 49 = -4*r - 2417, 3*p - 601 = r. Let n = 1584 + r. Suppose 103 = -4*f + n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:58 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2043 - -1111. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 4. Let p = -48 - 154. Let d = p + 200. What is r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 7*m**2 - 18*m + 3. Let w be b(9). Suppose -3*k = 3*s, -4*k + w*s - 5*s = -8. Solve -4*h = 0, 2*h = k*r - h + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -32. Find the third derivative of 2*k**2 - 108*k**w + 10*k**2 + 121*k**6 wrt k.\nAnswer: 1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/15 + 6830*y - 204876\/5 = 0.\nAnswer: 6, 51219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-8 + 8 + 10*q)*(11 + 3 + 0)*(-6*q + 6 - 6) + (3*q - 2*q + 0*q)*(-2*q + 2*q + 2*q).\nAnswer: -1678*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 130 = -5*t - 4*g, -3*t = 3*g - 78. What is the remainder when 409 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 91. Solve 9*y + 16 + 29 = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*v + 32 = 0, 0 = -4*n + 2*n - 5*v + 25. Suppose 4*a + m - 7 = 0, -2*a + n*m - 12 = -43. Let k(l) = l**2 + l - 3. What is k(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929855.\nAnswer: 5, 17, 69763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1633, -3255, -4875, -6493, -8109, -9723?\nAnswer: -11335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38955 (b) -0.4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -1) + (-93 - -71).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1 - 136*v**3 - 139*v**3 + 9*v - 19*v**2 - 7 + 273*v**3. What is l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*w = 1624, -l + 6*w = 2*w - 802. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3632587 and 6759.\nAnswer: 32693283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3313.2 to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*w = 1, -19 = 98*g - 95*g + 5*w. Which is the fifth biggest value? (a) -1 (b) g (c) -0.3 (d) 0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/98*-4 + 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -13, 1929 in descending order.\nAnswer: 1929, -13, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 - (3 - 23\/3). Suppose -926 - 1557 = -5*h + u*g, -3*g = -9. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 + 360*n - 32400 = 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 843.8675 + 0.1325. Let d = -845.401 + p. Round d to two decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 348 = 260. Suppose 10*y - 36 = c*y. Let h be ((-9)\/15)\/(y\/10). Let o(i) = i**3 - 2*i**2 + 1. What is o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-12 - -17 - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8932 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(486)\/sqrt(9)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 > 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3992596 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 39, 81, 149, 249, 387, 569, 801?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2963990.\nAnswer: 2, 5, 43, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2136*m**2 + 30*m + 7840. Let c(f) = 6409*f**2 - 100*f - 23520. Let t(b) = 3*c(b) + 10*q(b). Find the first derivative of t(z) wrt z.\nAnswer: -4266*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4*i - 4*i)*(0 - i + 0) + (i - 8*i + 3*i)*(-i + 3*i + 0*i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 60. Suppose -18*s = -13*s - 10. Suppose -s*r + 3*n = -8, 13 - 39 = -3*r + n. Calculate the highest common divisor of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7 - 6*c**3 - 23*c - c**3 + 2*c**2 + 8*c**3 + 2*c. Let f be b(-5). What is the greatest common divisor of 161 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let p(l) = -o + 3 - 1 - l. Let h be p(0). Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000256671 to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6 = -42. Let x(l) = -6*l**3 - l**2 - 2*l - 1. Let t be x(-1). What is the highest common divisor of g and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.853 + -18.872779. Round n to four decimal places.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6273 - -16192. List the prime factors of p.\nAnswer: 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 227531 and 227593 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105725099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3155 is divided by (-2)\/(19\/(1463\/(-14)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w + 18 + 87*w - 18.\nAnswer: 125*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 2*t**3 - 6*t**3 + (0 - t**3 + 0)*(6 - 27 - 26) as s*t + b*t**3 + g + f*t**2 and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 149058?\nAnswer: 149058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64953*f*j*t**2 - 3766535*f*j*t + 2*f*t**2 - 28*f*t + 4*j*t**2 + 5*t**2 wrt t?\nAnswer: 129906*f*j + 4*f + 8*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, o: 1, w: 4}. Give prob of picking 3 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*o - 55, a + 3*a - 22 = -2*o. Suppose 4 = 3*j - 8, 4*k + 4*j - 32 = 0. What is the least common multiple of k and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2234 or -2245?\nAnswer: -2234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 7*g**2 + 9*g + 11. Let i be q(-8). Suppose -33 = -3*n - 3*x - i, -36 = -4*n - 3*x. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = 5*g + 30, -4*l - g = -4. Solve n - o = -l*n - 4, n - 3*o + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 1\/2*i**2 - 3*i - 2. Calculate y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) 0.3 (d) -42 (e) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x + 5. Let k be w(5). Suppose 3 = y - k. What is the derivative of 7 - 5*q - q - 5*q + y wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 127808470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 547\/5. Let z = 0.04 - 0.32. Let i = 0.18 + z. What is the closest to i in t, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, 22\/3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299.29t in nanograms?\nAnswer: 2299290000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 172.378?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*d**2 + 0*d + 0*d - 198*d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + g - 4232*g**3 + 4231*g**3 + 21*g**2 - 2*g**4 in the form s*g + u*g**3 + h*g**4 + b*g**2 + y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.43 take away 1.1?\nAnswer: 6.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -799 + 806 + (-8 - (-4 - (3 - 6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 2775*g**2 - 249480*g + 5953500.\nAnswer: -5*(g - 450)*(g - 63)*(g - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-5)\/390)\/(1792\/1664).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let x be (-8)\/(-28) + 280\/49. What is a in 3 + 1 - x*a - 13 + m*a**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19165, 19163, 19161?\n\"Answer: -2*f + 19167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*u = -68*u + 26 + 212 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = s + 521. Let u = 36 - s. Suppose -15*p + 19*p = u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Let h = -7.38 - -7.48. What is the closest to h in -1\/3, k, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.4 - 0.4. Which is the smallest value? (a) t (b) -0.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.18033 to two dps.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 43. Let v be p(10). Let w = 39 - v. Solve -3*j = w*n + 2 - 4, -4*j = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1444*l**3 + 1900*l**2 + 6272*l + 3072.\nAnswer: -4*(l - 3)*(19*l + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 72 + 23. Suppose 67 + s = m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) + 0 + -2. Solve -5*w = 4*q + 6 + 1, 2*w + o = -q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 3, j: 4}. Give prob of picking 1 o and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 71*w - 167. What is p(-71)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*d + 4*b - 16, 6 = 6*d - 4*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 8. Give g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.1 - 60.\nAnswer: -68.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -8, 0 = 2*i + i - 4*g - 11. Let f be (0 + (1 - 0))*119\/238. What is the nearest to f in 5, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8*s + 16. Let g(k) = 7*k - 5. Let j be g(0). Determine y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1075 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 22392232?\nAnswer: 22392232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -501, -639, -775, -909, -1041, -1171?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133.62 - 128.62. Sort i, -2\/9, 9, -1\/138.\nAnswer: -2\/9, -1\/138, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (-670)\/(-20) + -92*(-10)\/(-400)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = 3*s, -5*m + 2*s = -0*s - 23. Solve 0 = 3*i - 2*i - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 103. Let n = -27.32 - 0.68. Let h = -28.4 - n. What is the nearest to 1\/5 in h, p, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/(b*b\/((((b**1\/b)\/b)\/b)\/b)))\/(b**0)**4*(((b**4\/b)\/b*b)\/b**(-1))**(-5) assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 551988, 551987, 551986?\n\"Answer: -y + 551989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*((sqrt(176)*-2 + -3)*-1 - (-3 + 1*sqrt(176) - sqrt(176) - (sqrt(176) + sqrt(176)*-2 + -5))))**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*t**3 - 224*t**3 - t + 28*t**2 - 6628*t**4 + 6630*t**4 in the form h*t + l + d*t**2 + b*t**4 + v*t**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 5*d**2 - 57*d - 636. Calculate x(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 1254.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b - 2. Let j be p(-2). Let q = 0 - j. Suppose -5*c + 3 = -3*i + 85, q = -3*i - 3*c + 66. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 90.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -2*s + 7*s. Let v be s\/(-26) + (-2)\/(-13). Which is the nearest to 0? (a) v (b) -1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 + 4579*c**2*y + 5592*y + 3 wrt c?\nAnswer: -8*c**3 + 9158*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0*v**3 - 1\/6*v**4 + 0 + 4*v + 0*v**2 + 0*v**5 - 2\/15*v**6. What is the third derivative of r(y) wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1 - 109 = 0. Suppose 6 = 2*p, 0*c - 5*c = 4*p - l. Solve -2*h = 8 + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 4*j - 14 - 2*j + j as q + b*j and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.2, 1, -0.18, 277 in descending order.\nAnswer: 277, 3\/2, 1, 0.2, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-2)\/96*2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 11:27 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 5, b: 2, z: 2, p: 2}. Give prob of sequence bb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17886.3 + -17887. Which is the third smallest value? (a) r (b) -5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10214 + 0?\nAnswer: 10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.29 + -6.4. Sort 1, 2\/13, j in increasing order.\nAnswer: 2\/13, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 - -4 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}